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Y_Kistochka [10]
2 years ago
5

Find the value of x in the following triangle​

Mathematics
1 answer:
ozzi2 years ago
4 0

Answer:

x = 124°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x = 180° - (32 + 24)° = 180° - 56° = 124°

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Brielle and Joshua are running a half marathon race, which is
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Answer and Explanation:

Brielle will run the marathon faster.

Work:

Brielle: 13.1/1.25=10.48*10=104.8 minutes

Joshua: 13.1/1.5=8.73...*18=157.2 minutes

Brielle finished in 104.8 minutes.

Joshua finished in 157.2 minutes.

Brielle finished the half marathon race by 52.5 minutes faster than Joshua.

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3 years ago
2. What is the slope passing through the points (2, -1) and (-4, 11)
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Answer:

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4 0
3 years ago
if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s​
Lubov Fominskaja [6]

Answer:

Supplementary Angle's Theorem

Step-by-step explanation:

The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.

7 0
3 years ago
A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la
vodka [1.7K]

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

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The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03

Then, the lower and upper bounds of the confidence interval are:

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The 96% confidence interval for the population proportion is (0.77, 0.83).

4 0
3 years ago
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