Answer:
x = 7
Step-by-step explanation:
Parallel lines so their the same
11x - 2 = 75
add 2 to both sides
11x = 77
divide both signs with 11
x = 7
Answer:
10x² + 6x + 3xy + 3y - y²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, as shown
(2x + y)(5x - y + 3)
= 2x(5x - y + 3) + y(5x - y + 3) ← distributing
= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )
= 10x² + 6x + 3xy + 3y - y²
Answer:
![m\angle CDE=14^o](https://tex.z-dn.net/?f=m%5Cangle%20CDE%3D14%5Eo)
Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values
![(4x+5)^o=(x+9)^o+(x+8)^o](https://tex.z-dn.net/?f=%284x%2B5%29%5Eo%3D%28x%2B9%29%5Eo%2B%28x%2B8%29%5Eo)
solve for x
Combine like terms
![(4x+5)^o=(2x+17)^o](https://tex.z-dn.net/?f=%284x%2B5%29%5Eo%3D%282x%2B17%29%5Eo)
Group terms
![4x-2x=17-5](https://tex.z-dn.net/?f=4x-2x%3D17-5)
![2x=12](https://tex.z-dn.net/?f=2x%3D12)
![x=6](https://tex.z-dn.net/?f=x%3D6)
Find the measure of angle CDE
![m\angle CDE=(x+8)^o](https://tex.z-dn.net/?f=m%5Cangle%20CDE%3D%28x%2B8%29%5Eo)
substitute the value of x
![m\angle CDE=(6+8)=14^o](https://tex.z-dn.net/?f=m%5Cangle%20CDE%3D%286%2B8%29%3D14%5Eo)