Answer:
x=7 and m<LMN = 120
Step-by-step explanation:
if MO bisects LMN then 13x - 31 must be equal to x + 53
13x - x = 53 + 31
12x = 84
x = 7
and
13x - 31 + x + 53 = m<LMN
14x + 22 = m<LMN
since x is 7
14×7 + 22 = 120
Answer:
3x^4 - 13x^3 - x^2 - 11x + 6.
Step-by-step explanation:
x^2-5x+2 x 3x^2 +2x +3
= x^2(3x^2 +2x +3) - 5x(3x^2 +2x +3) + 2(3x^2 +2x +3)
= 3x^4 + 2x^3 + 3x^2 - 15x^3 - 10x^2 - 15x + 6x^2 + 4x + 6
Adding like terms:
= 3x^4 - 13x^3 - x^2 - 11x + 6.
35 is the answer
Explanation, the sum of interrior angme is 180degree
x+(3x+40)= 180
or, 4x= 180-40
or, x= 140÷ 4
or x = 35
Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so
we have
Find the height of the right triangle applying the Pythagorean Theorem
The radius of the semicircle is half the height of triangle
substitute in the formula