Select the correct answer from each drop-down menu. A triangle ABC with base AC is shown. A line DE, parallel to line AC, passes through vertex B. Interior angle at vertex A is labeled 1, at vertex C is labeled 3, and at vertex B is labeled 2. The exterior opposite angles at vertex B are 4 and 5. Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°. Statement Reason Points A, B, and C form a triangle. given Let be a line passing through B and parallel to . definition of parallel lines ∠3 ≅ ∠5 and ∠1 ≅ ∠4 m∠1 = m∠4 and m∠3 = m∠5 m∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight line m∠1 + m∠2 + m∠3 = 180° substitution

Answer:

8

Step-by-step explanation:

The cos of 30 is [tex]\sqrt{x}[/tex] / 2.  Since the adjacent angle is 4 times that.  We would multiply 2 x 4 and get 8

Answer:

Step-by-step explanation:

Find the circumference:

Find the distance covered by 9 turns:

Convert inches to feet:

Answer:

(-2, 6)

Step-by-step explanation:

3x - 4y = -32

3x + 5y = 24

-9y = -56

y = [tex]\frac{56}{9}[/tex] = 6

3x - 4*[tex]\frac{56}{9}[/tex] = -32

3x - [tex]\frac{224}{9}[/tex] = -32

3x = -32 + [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{288}{9}[/tex]+ [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{64}{9}[/tex]

x = -[tex]\frac{64}{27}[/tex] = -2

The expression that could be used to add 3/4+1/6 is  [tex]\frac{9 + 2}{12}[/tex]

The sum expression is given as:

3/4 + 1/6

Rewrite properly as:

[tex]\frac 34 + \frac 16[/tex]

Take the LCM.

The LCM of 4 and 6 is 12.

So, we have:

[tex]\frac{9 + 2}{12}[/tex]

Hence, the expression that could be used to add 3/4+1/6 is  [tex]\frac{9 + 2}{12}[/tex]

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Answer:

17/9

Step-by-step explanation:

Plug in 1/3 as m.

2*(1/3)^2 - 4(1/3) + 3 = 17/9

The test statistic based on the probability illustrated is -2.57.

The basic training is given as 103 hours. The variance is also given as 9.

The test statistic will be:

= (102 - 104/3/✓60)

= -1/(3/7.7)

= -2.57.

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The distance between the guy and the wire attached is 14.42m

The square of the longest side is equal to the sum of the square of other two sides.

In order to determine the length of base of the tower, we will use the expression below:

b² = 28² - 24²

b² = 208

b = 14.42

Hence the distance between the guy and the wire attached is 14.42m

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= 4×8 +2×3 -1+9

___________

20

= 8+6-9

_______

20

= 14 - 9

_______

20

= 5

____

20

The time taken for 3 machines to pack 5000 articles is 8 hours.

It is given that,

A machine can pack 5000 articles in 24 hours. I.e,

1 machine → 5000 articles → 24 hours

3 machines → 5000 articles → 24/3 hours

Thus, 3 of such machines can pack the same number of articles in

24 ÷ 3 = 8 hours.

Therefore, 3 of such machines take 8 hours to pack 5000 articles.

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Answer:

363 (d)

Step-by-step explanation:

Sum = (a1+an)(n)/2

n = (an-a1)/d +1 = 11

Plug into the sum formula.

Sum = 363

Then the x-intercept of the inverse is the same as the y-intercept of f(x), this means that the correct statement is the third option.

On the image, we can see two linear equations, such that the orange one is f(x) and the blue one is the inverse.

Then the x-intercept of the inverse is the same as the y-intercept of f(x), this means that the correct statement is the third option.

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The constant of proportionality is 6.

From the information given, the constant will be:

30 meals ÷ 5 days = 6

60 meals ÷ 10 days = 6

90 meals ÷ 15 days = 6

120 meals ÷ 20 days = 6

The constant of proportionality is 6. Therefore, the function will be:

y = kx

y = 6x

The value of y when x is 1 will be:

y = kx

y = 6 × 1 = 6

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Answer:

what they said

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discussion

i has to appear somewhere. That lets D and B out. They are both wrong.

C has only one i. It can't be right either. You need 2 i-s which will multiply to +1 when squared. That leaves you with a.

The way a is written, it can't be the answer either. For one thing, that 2 makes the answer question at best.

I would say there is no correct answer. Could you check the question? Also it would be a good idea to ask your instructor how this works, in case I'm wrong.

The sales price of the jacket is $140.

A price markdown is a planned decrease in the retail item's selling price. It is used to accelerate an item's sales rate, usually for clearing at the closing of a season or to get rid of outdated goods when their useful lives have passed.

Markdown prices are reductions in a product's selling price from its initial selling price expressed as a rate called markdown percentage. Markdown prices are more commonly referred to as discounts. 

From the given information:

Then the sales price of the jacket is:

= $175 - (20% of $175)

=$175 -  $35

= $140

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Answer: 2/7

Step-by-step explanation:

The total amount of pocket money he has is 7/7.

He spent 3/7 of his pocket money during the first week.

He then spends 2/3 of what he spent the previous week, 2/3 * 3/7 which is 2/7.

What he has left is 7/7 - 3/7 - 2/7 = 2/7.

Answer:

Step-by-step explanation:

[tex] \frac{x {}^{2} }{3y} \div \frac{3x}{2y} \\ \frac{x {}^{2} }{3y} \times \frac{2y}{3x} \\ \frac{x {}^{2} }{3} \times \frac{2}{3x} \\ \frac{x}{3} \times \frac{2}{3} = \frac{2x}{9} [/tex]

The exponential equation of the model is A(t) = 2583 * 0.88^t and the multiplier means that the number of new cases in a week is 88% of the previous week

The given parameters are:

New, A(t) = 2000

Rate, r = 12%

The function is represented as:

A(t) = A * (1 - r)^t

So, we have:

2000 = A * (1 - 12%)^t

This gives

2000 = A * (0.88)^t

2 weeks ago implies that;

t = 2

So, we have:

2000 = A * 0.88^2

Evaluate

2000 = A * 0.7744

Divide by 0.7744

A = 2583

Substitute A = 2583 in A(t) = A * 0.88^t

A(t) = 2583 * 0.88^t

Hence, the exponential equation of the model is A(t) = 2583 * 0.88^t

In this case, the multiplier is 88% or 0.88

This means that the number of new cases in a week is 88% of the previous week

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Answer:

answer: no spam please

oly questions

Answer:

Hope you like it. I have just wrote answers

The IQ score of 122.5 is about 1.5 standard deviations above the mean.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The z score is given by:

z = (raw score - mean) / standard deviation.

Given a mean of 100 and standard deviation of 15. The IQ score that is 1.5 standard deviations above the mean corresponds to a z score of 1.5, hence:

1.5 = (x - 100)/15

x = 122.5

The IQ score of 122.5 is about 1.5 standard deviations above the mean.

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[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4}{10}\times x\right)-(2 \times x)+\frac{8}{5}=\frac{4}{5} \end{gathered}$}[/tex]

Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.

Combine [tex]\bf{\frac{2}{5}x }[/tex] and -2x to get [tex]\bf{-\frac{8}{5}x}[/tex].

Subtract 8/5 from both sides.

Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.

Subtract 8 from 4 to get -4.

Multiply both sides by [tex]\bf{-\frac{5}{8}}[/tex], the reciprocal of [tex]\bf{-\frac{5}{8}}[/tex].

Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.

Factorize and get the value of x and then substitute into any of the equation to get the solution in coordinate form (x, y)

For us to determine if a set of inequality  function has a solution, we will equate the functions and determine the point of intersection if there are any,

Given the inequalities

y ≤ x^2 - 3

y > -x^2 + 2

Equate

x^2 - x = -x^2 + 2

Collect like terms

2x^2 - x - 2 = 0

In order to determine the value of x, we will factorize and get the value of x and then substitute into any of the equation to get the solution in coordinate form (x, y)

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Answer:

b

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{5+8+12+6+7+10+14+6+13}{9}[/tex]

         = [tex]\frac{81}{9}[/tex]

         = 9

Answer:

9

Step-by-step explanation:

The mean is also known as the average. To find it, we add up all of the data and divide it by how many numbers were added.

5 + 8 + 12 + 6 + 7 + 10 + 14 + 6 + 13 = 81

81/9 = 9

Brainliest, please :)

The function that has the given initial value and rate of change is: D. y = -1/2.

A function is given as, y = mx + b, where, m is the rate of change, and b, which is a constant is the initial value.

Given the following:

b = -1/2

m = 0

Plug in the values into y = mx + b

y = 0(x) + (-1/2)

y = -1/2

Therefore, the function is: D. y = -1/2.

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Answer: 1/3

Step-by-step explanation:

-1/9 / -1/3 = ?

Keep: -1/9

Change: *

Flip: -3/1

Solve: -1/9 * -3/1 = 3/9

Simplify: 1/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{-\dfrac{1}{9}\div - \dfrac{1}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{-\dfrac{1}{9}\div - \dfrac{1}{3}}[/tex]

[tex]\huge\textsf{Convert:}[/tex]

[tex]\mathsf{= -\dfrac{1}{9} \times -\dfrac{3}{1}}[/tex]

[tex]\huge\textsf{Multiply:}[/tex]

[tex]\mathsf{= \dfrac{-1\times3}{9\times -1}}[/tex]

[tex]\mathsf{= \dfrac{-3}{-9}}[/tex]

[tex]\mathsf{= \dfrac{-3 \div -3}{-9\div-3}}[/tex]

[tex]\mathsf{= \dfrac{1}{3}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

8,974 dollars

Step-by-step explanation:

y=2650.(1.05)^x

x=25

2650(1.05)^25 = 8974 dollars

Answer:

61 portions

Step-by-step explanation:

First, the conversion between gallon and ounces is:

1 Gallon = 153.722 ounces (oz)

GIven 1 portion of waffles requires 2.5 ounces of milk

Number of portions of waffles = Total amount of milk / milk required per portion of waffles

= 153.722 / 2.5

= 61.489 portions

Of course, we are unable to make part portions in this case, so we will take the highest possible whole number, which is 61 portions.