Consider the diagram below of an equilatera triangle.

4 = n.

13 ft.

Step-by-step explanation:

An equilateral triangle means that all of the sides are equal.

This means: 2n + 5 = 3n + 1 = 5n -7

You can pick two of those sides to set up an equation to solve for n.

For example, 2n + 5 = 3n + 1.

Then you will need to isolate the variable.

Subtract 1 from each side to get 2n + 4 = 3n.

Subtract 2n from each side to get 4 = n.

Substitue 4 for n into one of the equations.

2n + 5

2(4) + 5

8 + 5 = 13

Each side is 13 ft.

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°

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a