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3 years ago

The interior angles of a triangle are

Mathematics

1 answer:

lbvjy [14]3 years ago

4 0

Answer:

$8x+13y = 130$

Step-by-step explanation:

sum of interior angles in a triangle is 180 degree

interior angles are (5x+3y)∘,(3x+20)∘, and (10y+30)

add all the angles and make it equal to 180

$5x+3y+3x+20+10y+30= 180$

combine like terms

$5x+3y+3x+20+10y+30= 180$

$8x+13y+x+50= 180$

subtract 50 from both sides

$8x+13y = 130$

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Solve for x. 5x−2(x+1)=1/4 Enter your answer in the box. x =

skelet666 [1.2K]

x = $\frac{3}{4}$

distribute the parenthesis on left side of equation and simplify

5x - 2x - 2 = $\frac{1}{4}$

3x - 2 = $\frac{1}{4}$ ( add 2 to both sides )

3x = $\frac{1}{4}$ + 2 = $\frac{9}{4}$ ( divide both sides by 3 )

x = $\frac{9}{4}$ × $\frac{1}{3}$ = $\frac{3}{4}$

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3 years ago

The function below can be used to calculate the cost of making a long distance call, f(m), which is based on a $2.50 initial cha

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Answer:

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3 years ago

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. The method for selecting a str

RUDIKE [14]

Answer:

The method for selecting a stratified sample is to order a population in some way and then select members of the population at regular intervals. - FALSE.

This can be re written as :The method for selecting a systematic sample is to order a population in some way and then select members of the population at regular intervals.

Explanation for stratified sampling:

In stratified sampling, the members of a population are divided into two or more strata with similar characteristics and then a random sample is selected from each strata. This way ensures that members of each group within a population will be sampled.

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4 years ago

You are making an audience selection. The first selection narrows your audience of 240,000 by 25% and the next selection narrows

vlada-n [284]

Answer:

the answer is c. 108,000

Step-by-step explanation:

240,000×25%=60,000

240,000-60,000=180,000

180,000×40%=72,000

180,000-72,000=108,000

your answer is 108,000

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3 years ago

I need help with these!

Harman [31]

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

By using mid-segment theorem for the given triangle, we get

$54=\dfrac{1}{2}(3n)$