The choice selections are 3.2m
5.0m
8.7m
and 11.2 m

8.7m

Step-by-step explanation:

Use the Pythagorean theorem, a^2 + b^2 = c^2

a and b are the sides going either horizontally or vertically, it doesn't matter which is which as long as it's only between those 2.

c is the diagonal side, also called the hypotenuse.

so plug in:

a^2 + b^2 = c^2

5^2 + b^2 = 10^2

25 + b^2 = 100

subtract 25 from both sides

b^2 = 75

square root both sides

b = 8.66, round it up and it's 8.7

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

answer:   y=2x-3

step-by-step explanation: