Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
Answer: x=11
Step-by-step explanation:
The lines are parallel, which you can tell by the two arrows. 4x-8 is a corresponding angle to 3x+3, meaning they are congruent.
4x-8 = 3x+3
x=11
4q=52
divide by 4 for both sides
4q/4= 52/4
q= 13
Answer : q=13
6x-4=2x+8
mnus 2x both sides
4x-4=8
add 4 to both sides
4x=12
divide 4 both sides
x=3
Answer:
6x + 3.5y is greater than 60
Step-by-step explanation:
Cost of x bags of popcorn = 6x
Cost of y bottles of soda = 3.5y
Total cost = 6x + 3.5y
To get a souvenir poster, this cost must exceed 60
