Answer:
m<C = 42°
Step-by-step explanation:
Given:
m<A = (2x - 2)°
m<C = (4x - 6)°
m<DBC = (5x + 4)°
Thus:
m<DBC = m<A + m<C (exterior angle theorem of a triangle)
(5x + 4)° = (2x - 2)° + (4x - 6)°
Solve for x
5x + 4 = 2x - 2 + 4x - 6
Collect like terms
5x + 4 = 6x - 8
5x - 6x = -4 - 8
-x = -12
Divide both sides by -1
x = 12
✔️m<C = (4x - 6)°
Plug in the value of x
m<C = 4(12) - 6 = 48 - 6
m<C = 42°
Answer:
the answer is two groups. six times two is 12, 12 is one less than 13 but six cannot go into one
The product of x and 5 can be displayed as 5x
Less than -27 can be displayed as < -27
When we combine those two statements, the following inequality is made.
5x < -27
Sin(D) = 24/25
tan(D) = 24/7
sin(E) = 7/25
Smaller number=x
larger number=2x+4
x+2x+4=70
3x+4=70
3x=66
x=22
Smaller number=22
