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ycow [4]
3 years ago
5

Please help asap!! find the value of x

Mathematics
1 answer:
vichka [17]3 years ago
8 0

Base angles in an isosceles triangle, assuming the base is the one that does not match any other side, are equal.

You are told one of them on the 1st triangle. 55º.

So you can assume the other one will also be 55º.

Internal angles in a triangle add up to 180º.

Subtract the sum of both angles (55+55=110) from 180 and you will get the third one (180-110=70).

This 70º angle is vertically opposite to one of the base angles of the other isosceles triangle. Knowing vertically opposite angles are equal, then the other angle must be also 70º.

Now you have one of the base angles for the second isosceles triangle!

Again, knowing that base angles in an isosceles triangle are equal, x must be equal to 70º.

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C + 15 = 23c + 2 − 43c What is the value of c that makes the equation true?
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The value of c that makes the equation true is: c = -13/21.

<h3>What is an Equation?</h3>

An equation is a mathematical statement whose values on the right and left sides are equal.

Given:

c + 15 = 23c + 2 − 43c

Find the value of c

c + 15 = -20c + 2

c + 20c = -15 + 2

21c = -13

c = -13/21

Thus, the value of c that makes the equation true is: c = -13/21.

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A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend too little time with their children because o
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Answer: a. 0.542

b. 0.051

c. (0.491,\ 0.593)

Step-by-step explanation:

Let p be the population proportion of parents spend too little time with their children because of work commitments

As per given , we have

n= 369

\hat{p}=\dfrac{200}{369}=0.542005420054\approx0.542

Since the sample proportion is the best estimate for the population proportion.

So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542

z-value for 95% confidence interval : z_{\alpha/2}=1.96

Margin of error : E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

E=(1.96)\sqrt{\dfrac{0.542(1-0.542)}{369}}\\\\=0.0508364564574\approx0.051

The margin of error = 0.051

Confidence interval : \hat{p}\pm E

0.542\pm0.051\\\\=(0.542-0.051,\ 0.542+0.051)\\\\=(0.491,\ 0.593)

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : (0.491,\ 0.593)

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