Answer:
![x=27](https://tex.z-dn.net/?f=x%3D27)
Step-by-step explanation:
Notice that Angle A is being bisected.
Hence, we can use the Angle Bisector Theorem to write the following proportion:
![\frac{x+8}{10}=\frac{2x-5}{14}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B10%7D%3D%5Cfrac%7B2x-5%7D%7B14%7D)
Solve for x. Cross-multiply:
![10(2x-5)=14(x+8)](https://tex.z-dn.net/?f=10%282x-5%29%3D14%28x%2B8%29)
Distribute:
![20x-50=14x+112](https://tex.z-dn.net/?f=20x-50%3D14x%2B112)
Subtract 14x from both sides:
![6x-50=112](https://tex.z-dn.net/?f=6x-50%3D112)
Add 50 to both sides:
![6x=162](https://tex.z-dn.net/?f=6x%3D162)
Divide both sides by 6. Hence, the value of x is:
![x=27](https://tex.z-dn.net/?f=x%3D27)
Hi,
For the equation: 220=2x-12x there is only one solution, x=−22.
Have a great day!
The length of a rectangle is 4 meters longer than the width. if the area is 21 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter.
Answer:
1/36
Step-by-step explanation:
There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.
B. Decreases
(Hopefully I’m right!)