The angles of a triangle will always add up to be 180 degrees total.
x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12
Answer: x = -12
Answer:
x-intercept: 4
y-intercept: 2
Step-by-step explanation:
finding the x-intercept:
first, substitute y = 0.
2x + 4 x 0 = 8
then, remove the 0.
2x + 0 = 8
then, divide both sides. 2x = 8
so, x = 4.
finding the y-intercept:
first, substitute x = 0.
then, solve.
2 x 0 + 4y = 8
so, y = 2.
Answer:
x = 20
Step-by-step explanation:
Given the triangles are congruent then corresponding angles are congruent, so
∠ N = ∠ E
To calculate ∠ E subtract the sum of the 2 given angles from 180
∠ E = 180 - (x - 5 + 4x - 10)
= 180 - (5x - 15)
Equate ∠ N and ∠ E
5x - 5 = 180 - 5x + 15 ( add 5x to both sides )
10x - 5 = 195 ( add 5 to both sides )
10x = 200 ( divide both sides by 10 )
x = 20