The distributive property: a(b + c) = ab + ac
12(6k + 3) + 4(7 - 5k) = 12(6k) + 12(3) + 4(7) + 4(-5k)
= 72k + 36 + 28 - 20k = 52k + 64
Answer: x = 75
Explanation: Basically, the three angles of the triangle add up to 180 degrees. The bottom left angle is ninety degrees. (You can figure that out by looking at the symbol that looks like a square in the bottom left angle of the triangle.) If you see that in other problems it means that that angle equals 90 degrees. To find the bottom right angle, you take 165 and subtract it from 180 because the diagonal line intersects the line that is going horizontally. That would give you 15. You can check this by adding 15 and 165 and you know that you’re right if you get 180. That gives you two angles. As I said in the beginning, the three angles of the triangle should add up to 180. Now you have 90 degrees and 15 degrees. You add those two and you get 105. Now all you have to do is subtract 105 from 180. You should get 75. You can check if you get the right answer by adding 90, 15, and 75 together. If you get 180 then you are correct. If you don’t get 180 then you did something wrong and should do the problem again. Sorry for the long paragraph, I wanted to get all the details in in case you had any questions. :) Hope this helps.
Answer:
yes, by SAS
Step-by-step explanation:
cause the GI and JL are congruent and the same for HG and LK
Answer:
5.33
Step-by-step explanation:
move the 4 out of the summation because just a constant multiplier
4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)
The formula for the geometric sum is :
First term*(1-multiplier^n)/(1-multiplier), formally 
Here multiplier is 1/4
First term is (1/4)^(1-1) = 1
Thus the value of sum is 
which equals 
We factored out 4 so its 
which is 
This equals 5.333328247 which is 5.33 to the nearest hundredth
