7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.
Given:
bisects ∠RST.
![m\angle RSV=64^\circ](https://tex.z-dn.net/?f=m%5Cangle%20RSV%3D64%5E%5Ccirc)
To find:
The
.
Solution:
Since,
bisects ∠RST, therefore
...(1)
Now,
![m\angle RST=m\angle RSV+m\angle VST](https://tex.z-dn.net/?f=m%5Cangle%20RST%3Dm%5Cangle%20RSV%2Bm%5Cangle%20VST)
[Using (1)]
![m\angle RST=2\times m\angle RSV](https://tex.z-dn.net/?f=m%5Cangle%20RST%3D2%5Ctimes%20m%5Cangle%20RSV)
![[\text{Given }m\angle RSV=64^\circ]](https://tex.z-dn.net/?f=%5B%5Ctext%7BGiven%20%7Dm%5Cangle%20RSV%3D64%5E%5Ccirc%5D)
![m\angle RST=128^\circ](https://tex.z-dn.net/?f=m%5Cangle%20RST%3D128%5E%5Ccirc)
Therefore, the value of
is
.
Answer:
<u>(3, -1)</u>
Step-by-step explanation:
<u>Given</u>
<u>Subbing the value of y</u>
- 4x + 5(3x - 10) = 7
- 4x + 15x - 50 = 7
- 19x = 57
- x = 3
- y = 3(3) - 10
- y = 9 - 10
- y = -1
- Solution is <u>(3, -1)</u>
Answer:
Angle #1 is 45 degrees
Angle #2 is 60 degrees
Angle #3 is 75 degrees
Step-by-step explanation:
x- angle #1
y- angle #2
(180-x-y)- angle #3
3x=180-x
4x=180
x=45
180-x-y=y+15
y=60
180-60-45=
180-105= 75
Answer: y = 2x + 4
Step-by-step explanation:
y = mx + b
(1,6) and (2,8)
Finding Slope:
(8 - 6) / (2 - 1)
=> 2/ 1 or 2
y = 2x + b
Finding "B":
y = 2x + b
=> 6 = 2(1) + b
=> 6 = 2 + b
=> b = 4
so y = 2x + 4