For this you would use the "angle bisector theorem," which states that the ratio of the other two sides are proportional to the two segments of the divided base (opposite the bisected angle). See attached image...
In other words:
Answer:



Step-by-step explanation:
Given
See attachment
Solving (a): g(-1)
We make use of:

Because:
is true for x =-1
Hence:

Solving (b): g(0.75)
We make use of:

Because:
is true for x =0.75
Hence:

Solving (b): g(1)
We make use of:

Because:
is true for x =1
Hence:

Answer: x = 7
Step-by-step explanation:
To solve the equation,
First step, open the bracket
3(x-5)-14=2(x-7)+2
3x -15 -14 = 2x -14 +2
Then, add the like terms
3x - 29 = 2x -16
Transpose the values at the right hand side to the left hand side
3x - 2x = -16 + 29
x = 7
Answer: 
Step-by-step explanation:
To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:
- Square both sides of the equation as following:

- Now you must subtract a² from each side of the equation, then you obtain:


- Apply square root to both sides:

Then:

Answer:
i think it’s 58
Step-by-step explanation: