Find the value of x

Find The Value Of X

Answers

Answer 1

The value of x is 70°

What is mean by polygon interior angle theorem? The Polygon Interior Angle Theorem states that the sum of all the interior angles of a polygon is equal to (n - 2)180 degrees, where n is the number of sides of the polygon. This theorem applies to all regular polygons, which are polygons with all sides of equal length. The theorem can be used to calculate the measure of an interior angle of a regular polygon by dividing the total sum of all the interior angles by the number of sides. For example, if a regular pentagon has five sides, the sum of the interior angles is 5(180) or 900 degrees. Therefore, the measure of each interior angle is 900/5 or 180 degrees. This theorem is also known as the Gauss-Bonnet theorem.

Solution:

Interior angle = (n-2) . 180°

(6 - 2) . 180°

Measure of Interior angle = 720°

x + 102 + 146 + 120 + 124 + 158 = 720°

x = 70°

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Related Questions

Using the constant of proportionality, write an equation for this proportional relationship:

You can buy 14 apples for 28 euros.

Use a to represent number of apples and c to represent the cost in euros. Please write your equation starting with c=

Answers

c = 14a/28

This equation represents the proportional relationship between the number of apples (a) and the cost in euros (c). The constant of proportionality is 14/28, which means that for every 14 apples, the cost is 28 euros. By dividing both sides by 14, we can also write the equation as a = c/2. This means that for every 2 euros, you can buy one apple.

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How do you find a quadratic function with a vertex and a point?

Answers

The  quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero.

What is quadratic function?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape. In mathematics, a quadratic issue is any problem that involves multiplying a variable by itself, often known as "squaring." This terminology comes from the fact that a square's area is equal to its side length multiplied by itself. The Latin term quadratum, which means square, is where the word "quadratic" derives.Three points are used to determine a quadratic function, which has the form f(x) = ax2 + bx + c. A quadratic function can be determined from three points on its graph by finding a, b, and c algebraically. Three equations and three unknowns must be solved in order to do this.

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How do I know if my cervix is dilating?

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Knowing if your cervix is dilating typically involves a physical examination by a healthcare provider.

During labor, a healthcare provider will check the dilation of your cervix by performing a pelvic exam. They will use their fingers to feel the cervix, which is located at the top of the vagina, and determine the degree of dilation.

Cervical dilation is measured in centimeters, and full dilation is considered to be 10 centimeters. Before labor begins, the cervix is typically closed and has a firm consistency. As labor progresses, the cervix will start to soften and thin out, and will eventually open, or dilate.

Some women might experience Braxton Hicks contractions, which are sometimes referred as "false contractions" as they can be mistaken for the start of labor, but Braxton Hicks contractions do not cause cervical dilation.

It's important to note that dilation is just one of the factors that indicate that labor is imminent. It is not the only factor and some women can have a fully dilated cervix for days before going into active labor.

In conclusion, knowing if your cervix is dilating typically involves a physical examination by a healthcare provider, who will perform a pelvic exam to feel the cervix and determine the degree of dilation.

Cervical dilation is measured in centimeters, with full dilation being 10 centimeters. Be aware that dilation is just one of the factors that indicate labor is imminent.

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The perimeter of a rectangle is 172 feet. Find the length and width if the length is an integer and the width is 2 times the next consecutive integer.

Answers

The length and width of the rectangle is 28 feet and 58 feet respectively.

How to find the sides of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the perimeter of a rectangle is the sum of the whole 4 sides of the rectangle.

Hence, the perimeter of a rectangle is 172 feet.

perimeter of a rectangle = 2(l + w)

where

l = lengthw = width

l = x

w = 2(x + 1) = 2x + 2

Therefore,

172 = 2(x + 2x + 2)

172 = 2(3x + 2)

divide both sides by 2

172 / 2 = 3x + 2

86 = 3x + 2

86 - 2 = 3x

3x = 84

divide both sides by 3

x = 84 / 3

x = 28

Therefore,

length = 28 feet

width = 2(28) + 2 = 58 feet

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What is the slope of the line described by the equation below

Answers

Answer: -3

Step-by-step explanation: Y=MX+B

Answer:

−3

Step-by-step explanation:

y-5=-3(x-17)

y=-3x+51+5

y=-3x+56

if we have this function:

y=mx+b

The slope is "m".

In this case, m=-3

Answer: sope -3

A population of field mice is 120. The population increas es at a rate of 9% a year. Write an exponential function that models
this situation:

Answers

Answer:

Population(year x) = 120*(1.09)^x

Step-by-step explanation:

Let x be the number of years from the time the population is 120 (year 0).

Population(year x) = 120*(1.09)^x

The 1.09 represents the growth for 1 year added to the initial population.  E.g., year 1 would have a population of 120*(1.09)^1 or 140.8 (141).  Year 2 would be 120*(1.09)^2 or 142.5 (143).  And so on.

Each new year bilds on the prior year's ending population.  In longhamd, this would be:

Year   Pop.

 0       120   120*(1.09)^0

 1         141   120*(1.09)

 2                120*(1.09)(1.09) or 120*(1.09)^2

 3                120*(1.09)(1.09)(1.09) or 120*(1.09)^3

and so on.

NEED HELP ASAP - Algebra 2 - 50 Points
Do all logarithmic equations have a solution? Explain your reasoning and include an example.

What should we always check for when solving logarithmic equations?

Answers

Logarithmic equations with negative logs have no solution. Always use the original logarithmic equation to check for solved values.

What are the rules of Logarithms?

The rules apply to any logarithm logbx, with the exception that any occurrence of e must be replaced with the new base b. Equations (1) and (2) defined the natural log. It is acceptable for x to be 0 or negative. However, when substituted or evaluated into the original logarithm equation, it is not allowed to have a logarithm of a negative number or a logarithm of zero, 0.

If we solve for x using log rules and properties, then plug those x values into the original equation, the equation should be satisfied. Also, keep in mind that the log's argument after plugging in the x values must be positive. There is no solution because the log's argument is negative.

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- 1 2/7x-1=26
Show work

Answers

The expression  [tex]$1\frac{2}{7}x -1=26[/tex]  gives {x} value as equivalent to 21.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

[tex]$1\frac{2}{7}x -1=26[/tex]

We can write the expression as -

(9/7)x - 1 = 26

(9/7)x = 27

x = (27 x 7)/9

x = 3 x 7

x = 21

Therefore, the expression  [tex]$1\frac{2}{7}x -1=26[/tex]  gives {x} value as equivalent to 21.

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Maggie charges $15 an hour for babysitting on the weekend. She wants to make $105 this weekend so she can buy a new bag for school on Monday. She does not want to make more than $195 or she will have to pay tax on her earnings. What are the possible numbers of hours Maggie can babysit this weekend to make enough money for the bag she wants to buy without having to pay taxes on her earnings?​

Answers

Answer:

7 - 13 hours

Step-by-step explanation:

This is just a common word problem.

Maggie gets charged $15 an hour and wants at least $105 and under $195

105 divided by 15 is 7 hours. 195 divided by 15 is 13 hours

The answer is she can babysit for 7 - 13 hours so she can make enough money for the bag she wants without having to pay taxes for her earnings.

find the rate of change of each function on the interval specified for real numbers
f(x)=x^2 +7 (4,w)

Answers

Answer:

w + 4

Step-by-step explanation:

What type of dilation is formed when the scale factor K is greater than 1 blank options?

Answers

An expansion where image size increased is formed when scale factor k is greater than 1

What is Dilation ?

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted. Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.

when the scale factor K is greater than 1 , The image will enlarged

Hence, An expansion will be occur.

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Counting More Pebbles Along the Path page 1 of 2: Look at the pebbles along each part of the path. Fill in the missing numbers. 15 13 16 72 CHALLENGE Hansel and Gretel used a pebble to mark every 10 steps as they walked along the path. How many steps have they taken when they get to the last pebble on this part of the path? ____________Use numbers or words to explair how you know

Answers

The missing numbers are 14 and 17. there are 50 steps taken to reach the last pebble on this part of the path.

What is the missing number?

Missing numbers are the numbers that have been missed in the given series of a number with similar differences among them.

let's take a look at pebbles along each part of the path, there is 1 number of addition to each pebble number to go on next pebble.

i.e. 12, 13, 14, 15, 16, 17

so, the missing numbers are 14 and 17.

now, as given Hansel and Gretel used a pebble to mark every 10 steps as they walked along the path. How many steps have they taken when they get to the last pebble on this part of the path?

so, to go on next pebble there are 10 steps to walk.

therefore, from starting pebble  number 12 to last pebble number 17, there are 50 steps ( difference between two pebbles is 10 steps).

hence, the missing numbers are 14 and 17. there are 50 steps taken to reach the last pebble on this part of the path.

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I need you to solve this

Answers

Answer:

Step-by-step explanation:

When dividing like bases (x is our base) we simplify by subtracting the exponents, top minus bottom. Since the exponents are fractions, we need a common denominator.

[tex]\frac{1}{5} -\frac{2}{15}=\frac{3}{15} -\frac{2}{15}=\frac{1}{15}[/tex]

thus, the simplification is [tex]x^\frac{1}{15}[/tex]

Answer:

(x 1/5)/(x 2/15)=.

(x1/5)× 15/2x

=15x/10x

=1.5

Identify the center of dilation.
-8
8
0
-4
ty
-8
8

Answers

Answer:The slope of the given line is -4

Step-by-step explanation:

How do you know when to change base?

Answers

When you are doing calculations, you can usually tell when you need to change base by looking at the problem. If the problem includes fractions, a base other than 10 may be more efficient. If the problem includes exponents, a base other than 10 may be necessary.

Changing Base for Complex Calculations

When working with numbers, it is important to know what base the numbers are in in order to correctly perform calculations. The base of a number is the number of digits used to express it, meaning that the base of a number can range from base 2 (binary) to base 36 (base 36 uses the numbers 0-9 and the letters A-Z).

Changing the base of a number can be helpful when dealing with fractions, exponents, and other complex calculations. To change the base of a number, divide the number by the base and then divide the remainder by the base, continuing to divide until the remainder equals 0.

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A pizza is cut into 10 equal slices. Eight friends each eat 1 slice. How much of the pizza did the friends eat? equation

Answers

Answer:

4/5

Step-by-step explanation:

What we know:

10 slices = 1 pizza8 friendsEach friend eats one slice

1 slice = 1/10 of the entire pizza

8 friends * 1 slice / 10 slices =

8 * 1/10 = 8/10 of the pizza was eaten

8/10 = 4/5 of the pizza was eaten

27 5/3 in simplest radical form

Answers

The value of 27 5/3 in simplest radical form will be 86 / 3.

How to illustrate the exponent?

The fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Here the value of 27 5/3 in simplest radical form will be the calculated thus:

(27 × 3) + 5 / 3

= (81 + 5) / 3

= 86 / 3

The value in radical form will be 86 / 3.

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What are the zeros of quadratic function 2x² 7x 3?

Answers

The zeros of quadratic function 2x² - 7x + 3 = 0 are 3 and 1/2.

There are several methods for solving a quadratic equation of the form ax² + bx + c = 0. In our case, use the quadratic formula x = (-b ± √(b² - 4ac)) / 2a to find the zeros or the solutions for x.

Plug in the values to the formula and solve for x.

x = (-b ± √(b² - 4ac)) / 2a

x = (--7 ± √(-7² - 4(2)(3))) / 2(2)

x = (7 ± √49 - 24) / 4

x = (7 ± √25) / 4

x = (7 ± 5) / 4

x = 3   ;   x = 1/2

Hence, the zeros of quadratic function 2x² - 7x + 3 = 0 are 3 and 1/2.

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What is the exponent of 4 4?

Answers

In the expression 4^4, the number first 4 is called the base, and the next number 4 is called the exponent.

The exponent tells you how many times the base is being multiplied by itself. In this case, 4 is multiplied by itself 4 times.

4^4 = 4 x 4 x 4 x 4 = 256.

So, the exponent of 4^4 is 4.

It's important to note that the exponent is also known as the power, so 4^4 is also read as 4 to the power of 4.

In summary, the exponent of 4^4 is 4. It tells you how many times the base (4) is being multiplied by itself. In this case, 4 is being multiplied by itself 4 times. Understanding this concept is important for solving mathematical problems, especially in algebra and calculus.

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Rewrite g (x) = 3^-x when x = 7/5. Write this as an expression with a positive rational exponent and as an expression involving a radical. Show where g (7/5) would be located on the graph.

Answers

Step-by-step explanation:

g(x) = 3^-x

x = 7/5

so,

3^-(7/5)

the "-" says "1/...", therefore

1/(3^(7/5))

that is the expressing with the positive rational exponent.

with a fractional a/b exponent, "a" means "to the power of", and "b" means "pull the bth root".

so,

1/(3^(7/5)) =

[tex] \frac{1}{ \sqrt[5]{ {3}^{7} } } [/tex]

that is the expression with a radical.

to find the point find the origin (0, 0) point. from there go eighth on the x-axis to 7/5 = 1.4. and from there you go straight up to the curve. that is the point of g(7/5).

1/(3^(7/5)) = 0.214798005...

that is what the y value would be of that point.

by the way, the graph in the picture does not match the actual graph.

What is the solution to -6x - 7 = 35?

Answers

Answer:

Step-by-step explanation:

if it is 35 because if you put together two negative numbers they become positive

I hope it helps you :)

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Lets get it done ~

[tex]\qquad \sf  \dashrightarrow \: 6x - 7 = 35[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x - 7 + 7 = 35 + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x = 35 + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x = 42[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7[/tex]

The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x.
What is the value of a?

Answers

The value of {a} is equivalent to 3.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation of a straight line → y = ax

The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = ax, this means that -

9 = a x 3

a = 3

and

- 9 = a x - 3

a = 3

Therefore, the value of {a} is equivalent to 3.

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One of the legs of a right triangle measures 7 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary round to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{\sf H=18.4\ cm}[/tex]

Step-by-step explanation:

Given that,

Base = 7 cm

Perpendicular = 17 cm

Hypotenuse = H

Using Pythagoras theorem.

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2\\\\(H)^2=(7)^2+(17)^2\\\\(H)^2=49+289\\\\(H)^2=338\\\\Take \ square\ root \ on \ both\ sides\\\\\sqrt{(H)^2} =\sqrt{338} \\\\H=18.4\ cm\\\\\rule[225]{225}{2}[/tex]

the question is.


urine completed the square to solve the equation 0 = 3x to the square root of 2 - 9x + 27

Answers

Yes, Urie correctly completed the square to solve the equation 0 = 3x + 9 to the square root of 2 - 9x + 27.

How to solve square root equation? A square root equation is an equation that contains a square root of a variable, typically represented by the radical symbol √. To solve a square root equation, you must isolate the radical symbol on one side of the equation and then square both sides of the equation.For example, if the equation is √x + 3 = 7, you would need to subtract 3 from both sides to isolate the radical symbol on the left side of the equation. This would give you √x = 4. Then, square both sides of the equation to get rid of the radical symbol. This would give you x = 16, which is the solution to the equation.In general, to solve a square root equation, you must first isolate the radical symbol on one side of the equation. Then, square both sides of the equation to get rid of the radical symbol, which will give you the solution to the equation. It is important to remember to always square both sides of the equation, so that the equation is still balanced after the radical symbol is removed.

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Which equations are set up correctly to solve for the unknown side length?

Answers

The equations that can be set up correctly to find the length of the unknown side using the Pythagorean theorem are:

6² + x² = 17²

x² + 6² = 17²

What is the Pythagorean Theorem?

The Pythagorean Theorem is a statement in mathematics that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The theorem can be written as an equation:

c² = a² + b², where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Using the Pythagorean theorem, the equations that can be set up correctly to find the value of x are:

6² + x² = 17²

x² + 6² = 17²

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i need help for part 2 it says Predict the population of the city in 30 years to the nearest whole number ( with steps please )

Answers

Predicting the population of the city in 30 years and to the nearest whole number with a decreasing population of 0.2% will give a value of

362,558

How to predict the population in 30 years

The population is predicted by expressing the word problem as an exponential functions

An exponential function is a type of function that are of 3 main parts

the starting or initial valuebase function the exponents

Considering the given problem,  f(x) = 300(1.16)^x

the starting = 385 000

the base = 1 - r for decreasing where r is rate given as 0.2%

base = 1 - 0.2% = 0.998

the exponents = t

In the 30 years the population will be

= 385000 * (0.998)³⁰

= 362557.5623

= 362558

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How do you construct a triangle class 7?

Answers

Building triangles entails using a protractor, a compass, and a ruler to build various triangles.

A triangle is a polygon with three sides. There are three angles, three vertices, and three sides to it. When the measurements are provided based on different qualities like SSS, SAS, and ASA, building triangles is simple.

These characteristics and guidelines must be understood in order to design a triangle:

(1) There are three sides presented (SSS – Side side side).

(2) Two sides are given, along with an angle (SAS – Side angle side).

(3) Two angles are shown, together with the included side (ASA – Angle side angle).

(4) The right triangle contains the measurements of the hypotenuse and a side (RHS – Right angle hypotenuse side).

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What is the slope of y =- 5?

Answers

The slope of the given equation y = -5x is -5.

The equation y = -5x is a linear equation, which means that it is a function that can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. The slope of a linear equation is the coefficient of x in the equation. In this case, the coefficient of x is -5, so the slope of the equation is -5.

It's worth noting that the slope represents the rate of change of the y-coordinate with respect to the x-coordinate, in other words, the steepness of the line. A slope of -5 means that for each unit increase in the x-coordinate, the y-coordinate will decrease by 5 units.

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The complete question is -

What is the slope of y = -5x?

Please help me find value?

Answers

it would equal 2

sssssssssssssssssssss

i think it will equal to 2

Answer:

but im not sure

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.

PLEASE HURRY IM TAKING EXAM pre algebra

Answers

The equation which gives infinite solutions, x-10+x = 8+2x-18.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

For the infinite solution the both side of equation must contain equal quantity.

For example,

x-10+x = 8+2x-18

now, solving for x

x-10+x = 8+2x-18

2x-10 = 2x-10

-2x = -2x

-10 = -10

As, both sides are equal  which shows the system of equation.

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Complete the following sentences regarding the experimental determination of the electrolyte strength for various molecules dissolved in solution.a. strong electrolyteb. weak electrolytec. non-electrolyte1. A 20 mL solution containing 2 mmol of Ca3(PO4)2(s) was integrated into to a circuit that powers a light but, When the power supply was turned on, the light bulb produced a glow. Ca3(PO4)2(s) is__.2. A 20 mL, solution containing 2 mmol of C12H22O11(aq) was integrated into a circuit that powers a light bulb. When the power supply was turned on the light bulb remained off. C12H22O11(aq) is___.3. A 20 mL, solution containing 2 mmol of HF(g) was integrated into to a circuit that power a light bulb. When the power supply was turned on the light bulb faintly flickered. HF(g) is an____.4. A 20 mL solution containing 2 mmol of LiOH(g) was integrated into to a circuit that power a light bulb. When the power supply was turned on the light bulb produced a bright glow LiOH(s) is a____. PLEASE HELP ASAP!Triangle CAT has vertices C (2,3), A(-2,6) and T(-1,-4). A translation maps the point A to A' (-1,4). What are the coordinates of C' under this translation?A. (1, -3)B. (3, 1)C. (1, 8)D. (-8, 1) A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance). 72 paper clips to 63 paper clips Which is an example of a ray-fin fish?lungfishO coelacanthO sharksalmon 100 POINTS IF YOU HELP MEE !! AND ILL GIVE BRAINLISTT !! Complete each statement with the number used to create an equivalent fraction. Multiply to by in both the numerator and denominator to get Multiply { by in both the numerator and denominator to get 16 Multiply by in both the numerator and denominator to get 24 Multiply 1 by in both the numerator and denominator to get 16 Extended AnswerIT IS ALGEBRA!!!! HELP ME PLZ15. Evan is sewing trim on a pair of shorts. He needs four equal length pieces of trim to put two stripes down each side of the shorts. The teacher gives him a piece of black trim that is 185 cm long. He measures and cuts 4 equal lengths. He ends up with a small piece of leftover trim that is 13 cm long. How long is each piece of trim? a) Write an equation to represent this situation. Expanded form of 5*10^-9 How was the Spanish American war a result of the United States belief that it should protect the democratic rights of people in other countries?A) The United States government went to war to protect Spain's right to govern Cuba.B) Spanish Americans went to Cuba to fight with their relatives.President McKinley sent the battleship Maine to Cuba to show support for Cubans revolting against Spain.D) The United States government blockaded Cuba so outside powers could not interfere with its internal conflict. The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth A peson on a vegetarian diet may have issues getting enough of this nutrient.OA) WaterB) CarbohydrateC) ProteinD) Fat Which of the following sentences includes one dependent and one independent clause?1PointsA While he is there, he helps feed the dogs and take them for walks.B Some dogs love to play with Kevin, but others are a little shy at first.C Kevin continues to give his time because the dogs need his help.