So on solving the provided question we can say that - all angles of triangle - 180; x = 60
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
all angles of 180
x +90+30 = 180
x = 60
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In the coordinate plane, the point A (1, -4) is translated to the point A'(-3, -5). Under the same translation, the points B (3, -1) and C(4, -7) are
translated to B' and C', respectively. What are the coordinates of B' and C'?
Answer:
B' (- 1, - 2 ) , C' (0, - 8 )
Step-by-step explanation:
A (1 , - 4 ) → A' (- 3, - 5 )
1 → - 3 in the x- direction means subtract 4 from the original x- coordinate
- 4 → - 5 in the y- direction means subtract 1 from the original y- coordinate
the translation rule is then
(x, y ) → (x - 4, y - 1 ) , then applying this
B (3, - 1 ) → B' (3 - 4, - 1 - 1 ) → B' (- 1, - 1 )
C (4, - 7 ) → C' (4 - 4, - 7 - 1 ) → C' (0, - 8 )
Triangle BCD has coordinates B(-8,-6), C(-5,2) and D(-2,7). What are the coordinates of D' after a translation of (x,y) -› (x+10, y+1)
Answer:
Step-by-step explanation:
x'=x+10,y'=y+1
so,the x' in D' is -2+10 = 8, y' in D' is 7+1=8
then, the D' is (8, 8)
Slope intercept form of this equation?
Answer:
y=-8x+9
Step-by-step explanation:
8x+y=9
(subtract 8x on both sides of the equation)
y=-8x+9
How to learn tables 1 to 10?
One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.
what is sequence ?A sequence is a group of numbers, or "terms," as 2, 5, 8. Some sequences can be made endlessly long by taking advantage of a specific pattern they follow. Add three and use the example of 2,5,8 to continue the series. There are formulas there that demonstrate where to look for words within a sequence. A collection of objects that are in some order is referred to as a sequence informally in mathematics. It has parts, much like a set. The entire, potentially infinite number of ordered objects is referred to as the sequence's length. putting two or more items in a sensible order. Chronological.
given
One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.
When counting by skips, you always start with the number you're counting by and keep adding it.
For instance, if you skip count by 2, you would get 2, 4, 6, 8, 10, etc.
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PLEASE HELP! I WILL GIVE BRAINLIST
Select all of the right triangles.
Triangle ABC with AB = 30, BC = 40, and
AC=50
Triangle XYZ with XY = 1, YZ = 1, and XZ = 2
Triangle EFG with EF = 8, FG = 15, and EG = 17
Triangle LMN with LM = 7, MN = 24, and LN = 25
Triangle QRS with QR = 4, RS = 5, QS = 6
Answer:
A. C. And D.
Step-by-step explanation:
I searched it up for you, cause... I'm not good at this XD. I hope this helps :D
The difference of the two numbers is 2 The sum of the same two numbers is 6. Write the numbers from least to greatest.
Answer:
2 and 4
Step-by-step explanation:
The difference of 4 and 2 is 2 because 4-2=2, and this matches the first part of the question. 4+2=6, and this is true because it matches the second part of the question. Hope this helps and please mark brainliest! :D
Suppose that triangle DEF is isosceles with base FD. Suppose also that angle E=(5x+59)° and angle F=(2x+38)°. Find the degree measure of each angle in the triangle
The value of angle D, angle E, angle F are 48° , 84° and 48° respectively
What is an isosceles triangle?An isosceles triangle is a triangle with two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
Since E is not equal to F then we can possibly say F = D since the triangle is an isosceles triangle.
Therefore :
180 = 5x+59 + 2x+38 + 2x + 38
180 = 9x + 135
9x = 180-135
9x = 45
x = 5
therefore angle E = 5×5 + 59 = 25+59 = 84°
angle D = F = 2×5 + 38 = 10 + 38 = 48°
therefore D = 48°, E = 84°, F = 48°
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Write the equation of a line in point-slope form that goes through the point (6,-1) and m=2:
Step-by-step explanation:
the point-slope form is
y - y1 = m(x - x1)
m is the slope, (x1, y1) is the given point.
so,
y - -1 = 2(x - 6)
y + 1 = 2(x - 6)
A 7-pack of sponges costs $5.67. What is the unit price?
Help
This is my first time asking a question and i need help and btw it is not 70m like others I’ve seen saying that
The castle tower has a height of 14 m.
Work out the height of the tree.
Answer:
about 91 m high.
Step-by-step explanation:
I have measured them as best I can on my computer screen.
The tower is 14 mm high and the tree is about 91 mm high on the enlarged image.
That makes the tree about 91 m high.
How to tell if a system of equations has no solution or infinitely many matrix?
Checking nonzero rows in the matrix is the first step in determining whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.
What does matrix mean?
A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The elements, or entries, of the matrix are the integers.
In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.
What are types and a matrix?
The dimensions or size of a matrix are determined by these rows and columns. There are several different kinds of matrices, including row matrices, column matrices, null matrices, square matrices, diagonal matrices, and upper and lower triangular matrices.
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Answer:
First, you have to check the nonzero rows in the matrix to determine whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.
Step-by-step explanation:
What is a matrix?
A matrix is a collection of numbers that are arranged in a row and column format in a rectangular or square form depending on the size of their rows and columns.
Operation on matrices:1. Addition: Any numbers of the same index can be added.
2. Subtraction: Any numbers of the same index can be subtracted.
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What are the possible rational roots of x³ X² 10x 8 0?
The possible rational roots of x³ - x² - 10x - 8 = 0 are -2, -1, and 4.
In mathematics, a root of an equation is a value of the variable that makes the equation equal to zero.
For example, in the equation x² - 4 = 0, the roots are 2 and -2, because when x = 2 or x = -2, the equation is satisfied (2² - 4 = 0 and (-2)² - 4 = 0). In other words, 2 and -2 are the values of x that "cancel out" the equation.
For a polynomial equation, such as x³ - x² - 10x - 8 = 0, the roots are the values of x that make the polynomial equal to zero. In this case, the roots are the values of x that satisfy the equation x³ - x² - 10x - 8 = 0.
The possible rational roots of x³ - x² - 10x - 8 = 0 are the integers that divide 8 and -8 and are also factors of -1. Since 8 and -8 are divisible by 1, 2, 4, and 8, the possible rational roots of the equation are -1, -2, -4, -8, 1, 2, 4, and 8. But among these, only -2, -1, and 4 makes the equation equal to zero.
Hence, -2, -1, and 4 are the possible rational roots of x³ - x² - 10x - 8 = 0.
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Solve the inequality for u.
10<-2u
Simplify your answer as much as possible.
Answer:
u < -5
Step-by-step explanation:
-2u > 10 (Divide both sides by -2)
u > -5 (Change the greater than sign to a less than sign since we divided by a negative number)
Final Answer: u < -5
How many sides are there in a triangle class 7?
There have been 3 sides and 3 angles in every triangle, some of which might be the same. The hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides, are given specific names in the case of a right triangle.
A triangle is a three-sided geometry shape with 3 vertices. The internal angle of the triangle, which is 180 degrees, is built. It means that a triangle's internal angles sum to 180 degrees.
It is the polygon with the fewest sides. Or to put it another way, a triangle is a three-sided, two-dimensional shape whose internal angles are 180°.
Triangles are primarily divided into six varieties based on the angles and side length.
The triangles are further divided based on the angles into:
(1) Acute Angle Triangle
(2) Obtuse Angle Triangle
(3) Right Angle Triangle
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PLEASE HURRY WILL GIVE BRANLIEST TO FIRST ANSWER
A rectangular prism has a length of312
inches, a width of 212
inches, and a height of 3 inches. How many 18
inch cubes can fit inside the rectangular prism?
Responses
210
420
9,344
13,440
227 18-inch cubes can fit inside the rectangular prism.
How is this determined?You may calculate how many 18-inch cubes can fit within a rectangular prism by dividing the rectangular prism's overall volume by the volume of a single 18-inch cube.
A rectangular prism's volume can be calculated using the formula length x width x height. In this instance, the dimensions are 312 inches long, 212 inches wide, and 3 inches high. As a result, the rectangular prism has a volume of 1,326,720 cubic inches (312 x 212 x 3).
A single 18-inch cube has a volume of 18 x 18 x 18 = 5832 cubic inches.
We divide the volume of the rectangular prism by the volume of a single 18-inch cube to get the number of 18-inch cubes that can fit inside: 1,326,720 / 5832 = 227.
Therefore, the rectangular prism can accommodate 227 18-inch cubes.
Please take note that this is an estimate and that there will not be enough room in the prism to fit 227 cubes exactly.
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Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305. Which equation can you use to find f, the cost of each favor? How much did each favor cost? $
The cost of each of the favors is of $5 and the required equation is 8f+265 = 305
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.
The addition of 8 favors increase the cost of the party by $40
The equation that can be used to find the number of favors =
8f+265 = 305
Solving for f,
8f = 40
f = 5
Hence, the cost of each of the favors is of $5.
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The perimeter of a rectangle can be found using the expression 2ℓ+2w
2
ℓ
+
2
w
, where ℓ represents the length and w represents the width. Find the perimeter when ℓ=6.2
ℓ
=
6
.
2
units and w=3.5
w
=
3
.
5
units.
__ units
Plus sign
Minus sign
Multiplication sign
Division sign
Big fraction
Superscript (Ctrl+Up)
Square root
Root
Equals sign
Not equal to
Less-than sign
Greater-than sign
Less-than or equal to
Greater-than or equal to
Parentheses
Pi
The perimeter of the rectangle when ℓ = 6.2 units and w = 3.5 units is 9.4 units
How to find the perimeter of a rectangle?The perimeter of a two-dimensional shape is the total length of the outline.
Since the perimeter of a rectangle can be found using the expression 2ℓ+2w
when ℓ=6.2 units and w = 3.5 units, you can get the perimeter by substituting ℓ=6.2 and w = 3.5 into the expression 2ℓ+2w. That is:
perimeter of rectangle = 2ℓ+2w
perimeter of rectangle = 2×6.2 + 2×3.5
perimeter of rectangle = 12.4 + 7
perimeter of rectangle = 19.4 units
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Rashon has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $481.28.
He buys 3 bicycle reflectors for $10.78 each and a pair of bike gloves for $32.64.
He plans to spend some or all of the money he has left to buy new biking outfits for $44.95 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Rashon can purchase while staying within his budget.
The inequality is x ≤ 5.09, where x is the number of outfits. Rashon can buy at most 5 outfits while staying within his budget.
To determine the number of biking outfits Rashon can buy while staying within his budget, you can set up an inequality using the information provided.
First, calculate the total cost of the reflectors and gloves:
3 reflectors × $10.78 + $32.64 = $38.34 + $32.64 = $71
Then, subtract the cost of the bicycle, reflectors, and gloves from Rashon's budget: $780 - $481.28 - $71 = $227.72
Now, you can use this remaining amount to determine the number of biking outfits Rashon can buy.
Let x be the number of outfits he can buy
You can set up an inequality as follows:
44.95x ≤ $227.72
Dividing both sides by 44.95:
x ≤ 5.09
However, since the number of outfits is an integer, he can only buy 5 outfits at most.
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Someone help me please
By Pythagoras theorem, The length of MN=5 units and that of LN=4.33 units.
What is the Pythagorean formula?is the formula for Pythagoras' theorem. The right-angled triangle's longest side, or c, is used in this equation. The hypotenuse is another name for this line. The other two sides of the triangle are shown by letters A and b.
Since, it is a right angle triangle, we can use Pythagoras theorem.
cos 60=base/hypotenuse
1/2=2.5/Hypotenuse
Hypotenuse=2*2.5
Hypotenuse=MN=5 units.
now,
sin 60=perpendicular/hypotenuse
[tex]\sqrt{3}/2=LN/5\\[/tex]
LN=4.33 units.
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The area of a triangle i found uing the following formula:
If b = 3 in. And h = 8 in. , what i the area of the triangle?
So, the area of the triangle is 12 square inches.
In a two-dimensional plane, the area of a triangle is the region enclosed by it. A triangle, as we all know, is a closed form with three sides and three vertices. Thus, the area of a triangle is the total space filled by the triangle's three sides. The typical formula for calculating the area of a triangle is half of the product of its base and height.
The area of a triangle can be found using the formula: (1/2) * b * h
Given that b = 3 in. and h = 8 in., the area of the triangle would be:
(1/2) * 3 * 8 = (1/2) * 24 = 12 square inches.
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A person hang gliding at an altitude of 300 feet is over a spot 2,250 feet from an
area of soft grass where he would like to land. At what angle of depression should
he see the grass?
Answer:
Below
Step-by-step explanation:
This is a right traingle with legs 300 and 2250
Tangent = opp leg / adjacent leg
Arc tan (opp / adj) = arctan (300/2250) = 7.6°
HELPPP. What is the equation of the line that passes through the point (6,0) and had a slope of -5/6?
The equation of line that passes through (6,0) and has a slope of -5/6 is y = (-5/6)x + 5.
What is the equation of the line that passes through (6,0) and with a slope of -5/6?The point-slope form is expressed as;
( y - y₁ ) = m( x - x₁ )
Where m is slope, x₁ and y₁ are the coordinates of the point .
Plug the slope m = -5/6 and point (6,0) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 0 ) = (-5/6)( x - 6 )
y - 0 = (-5/6)x + (5/6)6
y = (-5/6)x + 5
Therefore, the equation of the line is y = (-5/6)x + 5.
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How do you find the roots of a polynomial using the fundamental theorem of algebra?
Set each component to 0 and solve for x to discover the roots, or solutions, of the polynomial equation P(x) = 0. Factor the polynomial equation to find the solution. Set each factor to 0. 2x4 = 0 or (x - 6) = 0 or (x + 1) = 0 Determine x.
What is algebra?According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.
Here,
By setting each component to 0 and solving for x, you may obtain the roots, or solutions, of the polynomial equation P(x) = 0. Factor the polynomial equation to solve it. Set each component to zero. 2x4 = 0, (x - 6) = 0, and (x + 1) = 0. Calculate x.
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Jon left Rick's house and travelled 7 miles
East, 5 miles North, and 5 miles East. How far away is John's house from Rick's house?
John's house is 7 + 5 = 12 miles away from Rick's house in the east-north direction. John's house is 13 miles from Rick's house.
To solve this problem use Pythagoras theorem. Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
a² + b² = c²
c is the shortest distance or hypotenuse.
Distance of John's house from Rick's house
= [tex]\sqrt{(7+5)^2+5&^2}[/tex]
= [tex]\sqrt{12^2+5^2}[/tex]
= [tex]\sqrt{144+25}[/tex]
= [tex]\sqrt{169}[/tex]
= 13 miles
So, John's house is 13 miles from Rick's house.
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What are ordered pairs called?
Ordered pairs are also very well known as coordinates.
An ordered pair is a set of two numbers that are used to describe the position of a point on a coordinate plane.
The first number in the ordered pair is called the x-coordinate and the second number is called the y-coordinate. The x and y coordinates represent the horizontal and vertical positions, respectively, of a point on a coordinate plane.
For example, (3,4) is an ordered pair. Here, 3 is the x-coordinate and 4 is the y-coordinate. Point (3,4) is located 3 units to the right of the y-axis and 4 units above the x-axis on a coordinate plane.
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Write an expression to represent one half of the difference of 5 and a number, m
Answer:
(1/2) (5 - m) or 1/2 * 5 - m or in word form, one half times five minus m
Step-by-step explanation:
Hope it helps! =D
8(x-10)=-88
Show work
Check
Answer:
x = - 1
Step-by-step explanation:
Given:
8(x-10)=-88
Solve:
8(x-10)=-88
Using the distributive property.
How to use distributive property:
Multiply the outside number by the inside parenthesis numbers.
Like this;
8x - 80 = -88
Now add 80 to both sides:
8x - 80+80 = -88+80
8x = -8
Divide both sides by 8:
x = -1
Check:
We can substitute x which is -1 into the equation;
8(-1-10)
8*((-1)-10)
= -88
Hence, x = -1
RevyBreeze
ASAP please help right now
Answer:
1
Step-by-step explanation:
Because the shape divided has to create another shape and for 1 it's an oval at the beginning and then after the lines of symmetry go through its seen as 8 triangles.
please help i dont get this
The drama club members at millie’s middle school are selling tickets to the school play. millie wants to determine the average number of tickets sold. first, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class. which sampling technique should produce a more representative sample? a. the first sampling method, surveying drama club members in her homeroom, is the most representative. b. the second sampling method, surveying drama club members in her physical education class, is the most representative.c. both samples should be exactly the same. d. neither sample will be representative.
The exact representation of surveying drama club is by second sampling method.
Thus correct option is B .
Given, Selling tickets to the school play .
Systematic random sampling is known to be a type of random sampling technique that needs the selection of samples using a system of intervals in a specific population.
In Systematic Sampling second sampling method is used. Grounded on the fact that the system of sampling is one that's drawn from the population, it's said to be an effective system of sampling.
Hence option B is correct .
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