Answer:
°
°
°
Step-by-step explanation:
Let the measure of angle C be
°.
Given:
In triangle ΔABC,
is thirteen less than
and
is eleven less than four times
. This gives,
![m\angle A = x-13](https://tex.z-dn.net/?f=m%5Cangle%20A%20%3D%20x-13)
![m\angle B=4x-11](https://tex.z-dn.net/?f=m%5Cangle%20B%3D4x-11)
Also, ![m\angle C=x](https://tex.z-dn.net/?f=m%5Cangle%20C%3Dx)
Now, for a triangle, the sum of all its interior angles is equal to 180°.
Therefore, ![m\angle A + m\angle B + m\angle C=180](https://tex.z-dn.net/?f=m%5Cangle%20A%20%2B%20m%5Cangle%20B%20%2B%20m%5Cangle%20C%3D180)
Plug in all the values and solve for x. This gives,
![x-13+4x-11+x=180\\6x-24=180\\6x=180+24\\6x=204\\x=\frac{204}{6}=34](https://tex.z-dn.net/?f=x-13%2B4x-11%2Bx%3D180%5C%5C6x-24%3D180%5C%5C6x%3D180%2B24%5C%5C6x%3D204%5C%5Cx%3D%5Cfrac%7B204%7D%7B6%7D%3D34)
Therefore, measure of angle C is 34°.
Measure of angle A is,
°.
Measure of angle B is,
°.
The answer is e, atleast I'm pretty sure its been awhile since I've done slope.
Answer:
1 / (x+5)
Step-by-step explanation:
Factor the denominator
(x+1)/ (x+5)(x+1)
Cancel both (x+1)
=1/(x+5)