This is an isosceles triangle. The angles at the base are congruent (they have the same measures).
Look at the picture.
We know: The sum of the measures of angles in a triangle is equal 180°.
Therefore we have the equation:
<em>combine like terms</em>

<em>subtract 5 from both sides</em>
<em>divide both sides by 7</em>


<h3>Answer: D. m∠C = 40</h3>
Answer:
82.5% and 17.5%
Step-by-step explanation:
The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt.
200 - 35 = 165
165 people did not sign up.
This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,
The relative frequency of not getting a customer is 82.5%
The relative frequency of getting a customer is 17.5%
Answer:
a) 0.018
b) 0
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 14.4 in
Standard Deviation, σ = 1 in
We are given that the distribution of breadths is a bell shaped distribution that is a normal distribution.
Formula:

a) P(breadth will be greater than 16.5 in)
P(x > 16.5)


Calculation the value from standard normal z table, we have,

0.018 is the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.5 in.
b) P( with 123 randomly selected men, these men have a mean hip breadth greater than 16.5 in)
Formula:
P(x > 16.5)

Calculation the value from standard normal z table, we have,

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in
<em><u>Answer:</u></em>MN = 4 units
<u><em>Explanation:</em></u><u>1- getting the value of m:</u><u>We are given that:</u>
NQ = 4m and NQ = 12
<u>This means that:</u>
12 = 4m

m = 3
<u>2- getting MQ:</u><u>We are given that:</u>
MQ = 5m + 1
<u>We have calculated that:</u>
m = 3
<u>Therefore:</u>
MQ = 5(3) + 1 = 15 + 1 = 16 units
<u>3- getting MN:</u>We are given that point N is located somewhere between points M and Q.
<u>This means that:</u>
line MQ can be divided into two portions: MN and NQ
<u>This also means that:</u>
length of MQ = length of MN + length of NQ
<u>We have calculated that:</u>
MQ = 16 units
<u>We are given that:</u>
NQ = 12 units
<u>Therefore:</u>
16 = length of MN + 12
length of MN = 16 - 12
length of MN = 4 units
Hope this helps :)
Answer: it is a reflection across the x-axis sorry if I responded late