If there were 180 taking the survey and 95 were female, that means that there were 85 males.
Since only 21 of the males said red was their favorite color, we can write the fraction 21/85.
21 / 85 x 100 = 24.7%
24.7% of the males said red was their favorite color.
If you would like to solve the system of equations, you can do this using the following steps:
5p - 3r = 1 /*2
8p + 6r = 4
__________
10p - 6r = 2
<span>8p + 6r = 4
</span>__________
10p - 6r + 8p + 6r = 2 + 4
18p = 6
p = 6/18
p = 1/3
<span>5p - 3r = 1
</span>5 * 1/3 - 3r = 1
5/3 - 3r = 1
5/3 - 1 = 3r
5/3 - 3/3 = 3r
2/3 = 3r
r = 2/9
(p, r) = (1/3, 2/9)
The correct result would be <span>(1/3, 2/9)</span>.
The midpoint of a line divides the line into equal segments.
The option that proves PQ = LO is (a)
The given parameters are:




P is the midpoint of LM.
So, we have:



Q is the midpoint of NO.
So, we have:



Distance PQ is calculated as follows:

This gives:



Distance LO is calculated as follows:



So, we have:


Thus:

Hence, the correct option is (a)
Read more about distance and midpoints at:
brainly.com/question/11231122
Answer:
B) -6
Step-by-step explanation:
Placing a minus sign outside absolute value bars gives you a negative result For example, –|6| = –6, and –|–6| = –6.