Answer:
1. According to the angle bisector theorem, DAC = BAC
2. Same kind of goes for BC
3. X must be equal in both equations. x= 3
9(3) -7 = 20
4(3) +8 = 20
Hope this helped!
Answer:
The hourly wage of Ms. Franco is $28.38 .
Option (B) is correct .
Step-by-step explanation:
As given
Ms. Franco earned $709.54 in net pay for working 25 hours.
Thus

Putting values in the above

Hourly wage = $ 28.38
Therefore the hourly wage of Ms. Franco is $28.38 .
Option (B) is correct .
Answer:
x=10.8
Step-by-step explanation:
9²+6²=c²
81+36=c²
117=c²
√117=10.81
x=10.81
-2x + 8 = -4x + 1
- 1 -2x
7 = -6x
—
-6x
7/-6 or -7/6
Answer:
Option A is correct, i.e. x = -3, x = 7.
Step-by-step explanation:
Given the equation is x² -4x -21 = 0.
We can compare it with general quadratic equation i.e. ax² +bx +c =0.
then a = 1, b = -4, c = -21.
We can use Quadratic formula as follows:-
x = ( -b ± √(b²-4ac) )/2a
x = ( +4 ± √(16-4*1*-21) )/2*1
x = ( +4 ± √(16+84) )/2
x = ( +4 ± √(100) )/2
x = ( +4 ± 10 )/2
x = (4+10)/2 or x = (4-10)/2
x = 14/2 or x = -6/2
x = 7 or x = -3
Hence, option A is correct, i.e. x = -3, x = 7.