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4 years ago

Someone please help me get the answers to these

Mathematics

1 answer:

Varvara68 [4.7K]4 years ago

3 0

2A) first find the measure of the angle above the right angle (180-122=58) so it equals 58°, while the right angle is obviously 90°. the whole triangle should be 180° so 90+58= 148. now we subtract this from 180 to get the measure for x. 180-148=32.

Therefore, x=32°

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BRAINLIEST AND 30 POINTS FOR WHOEVER CAN EXPLAIN HOW TO GET THESE ANSWERS...

Dvinal [7]

Step-by-step explanation:

Since m∠ACM = 90°, then by angle addition, m∠ACP + m∠PCM = 90°.
Since CP⊥ AM, then by definition of perpendicular, m∠APC = 90°. Since angles of a triangle add up to 180°, that means m∠PAC + m∠ACP = 90°.
By substitution, m∠PCM = m∠PAC.
Since m∠PCM + m∠CMP = 90°, then by substitution, m∠CMP = m∠PAC.
Therefore, by AAA, △ACP and △CMP are similar.

Having proven that the triangles are similar, we can write the proportion:

AP / CP = CP / MP

9 / CP = CP / 16

CP² = 144

CP = 12

Now, we can simply use Pythagorean theorem to find the other sides.

AC² = AP² + CP²

AC² = 9² + 12²

AC = 15

CM² = CP² + PM²

CM² = 12² + 16²

CM = 20

8 0

3 years ago

A principal of $4,570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how much money w

tensa zangetsu [6.8K]

Answer:

$5695.05

Step-by-step explanation:

4 0

3 years ago

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Compare the following ratios: (Use >, < or = sign in the place holders)

Zepler [3.9K]

Answer:

7. 2:3<__4:1

8. 1:2<__3:6

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Step-by-step explanation:

4 0

3 years ago

Given that 3 x : 10 = 5 : 2 Calculate the value of x .

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$\tt{ 3x:10=5:2 }$ ⠀

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7 0

3 years ago

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

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3 years ago

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