Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°
Prove: x= 39°
Statement Reason
1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given
and m∠ DOC= (x+14)°
2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC
into ∠AOD and ∠DOC
3. (3x-10)° +(x+14)°= 160° 3. By substitution
4. 4x+4 = 160° 4. By equating like terms
5. 4x= 156° 5. By subtraction property
of equality
6. x= 39° 6. By division property of equality
Answer:
XY = 8 and YZ = 20
Step-by-step explanation:
If XY and YZ are on the one line, we can write
XY + YZ = 28
(2x+2) + (9x - 7) = 28
2x+2 + 9x - 7 = 28
11x - 5 = 28
11x = 33
x = 3
XY = 2x+2 = 2*3 + 2 = 8
YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20
Y-3x
Explanation: do 4y-3y which equals 1 which just equals Y. Then do -8x+5x which equals -3x
Answer:
8(2x+1)
Step-by-step explanation:
First we add
16x + 8
Next take GCF
8(2x+1)
Answer:
Option (2)
Step-by-step explanation:
Given function is,
9y - 6 = 3x
y = 
To find the inverse of the given function,
1). Substitute x in place of y and y in place of x.
x = 
2). Now we have to solve this equation for the value of y.
9x = 3y + 6
3y = 9x - 6
y = (3x - 2)
Therefore, inverse of the given function is y = (3x - 2)
Option (2) will be the answer.
