Answer:

Step-by-step explanation:
Given that ∆KLM ~ ∆RSK,
(similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?

Cross multiply




Answer:
m<F = 80 degrees
Step-by-step explanation:
Since line DF and line FE are congruent you know that the triangle is isosceles so you know that <D and <E are equal.
50+50=100
180-100=80
To reduce the radical, you have to factorize 108.
108 is a multiple of 3, so to factorize it, you can divide it by 3

You can rewrite the square root as:
![\sqrt[]{3\cdot36}=\sqrt[]{3}\cdot\sqrt[]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%5Ccdot36%7D%3D%5Csqrt%5B%5D%7B3%7D%5Ccdot%5Csqrt%5B%5D%7B36%7D)
The square root of 36 is equal to 6 so you can write the expression as:
Answer:
A+3B=4+5r
Step-by-step explanation:
Given that,
A = 1+r+7r
B = 1-r
We need to find an expression that is equal to A+3B.
Putting the values of A and B in A+3B, we get :
A+3B = 1+r+7r + 3(1-r)
=1+8r+3-3r
=(1+3) +(8r-3r)
=4+5r
Hence, the values of A+3B equals 4+5r.