Answer:
Angle M = 61°
Angle N = 87°
Step-by-step explanation:
in the given problem :-
the measure of exterior angle of a triangle is equal to the sum of measures of two opposite interior angles of the triangle .
so,
=》4y + 9° + 6y + 9° = 148°
=》10y + 18° = 148°
=》10y = 148° - 18°
=》10y = 130°
=》y = 130° / 10
=》y = 13°
so,
angle M = 4y + 9 = (4 × 13) + 9 = 61°
angle N = 6y + 9 = (6 × 13) + 9 = 87°
Answer:
Step-by-step explanation:
Simplifying
5(2x + -6) + 20 = 10
Reorder the terms:
5(-6 + 2x) + 20 = 10
(-6 * 5 + 2x * 5) + 20 = 10
(-30 + 10x) + 20 = 10
Reorder the terms:
-30 + 20 + 10x = 10
Combine like terms: -30 + 20 = -10
-10 + 10x = 10
Solving
-10 + 10x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 10x = 10 + 10
10x = 10 + 10
Combine like terms: 10 + 10 = 20
10x = 20
Divide each side by '10'.
x = 2
Simplifying
x = 2
I think that the answer is 500 because i rounded it
The conversion factor between yards and ft is 3 feet = 1 yard
So multiply the amount of yards by 4
(2 2/3) * 3 = 8
8 ft
