Hey there! :D
The congruence marks on the trapezoid make the angles congruent. This makes opposite angles supplementary. (Because all the angles in a trapezoid add up to 360 degrees)
12x-31+6x-5= 180
18x-36= 180
Add 36 to both sides.
18x= 216
Divide both sides by 18.
x= 12
You can just plug that in to find m<H.
6x-5
6(12)-5
72-5
m<H= 67
I hope this helps!
~kaikers
Answer:
1600
Step-by-step explanation:
As you can see, this is a difference of squares. We can plug it into our differences of squares formula to get the answer:
(a+b)(a-b)
(58+42)(58-42)
(100)(16)
= 1600
Hope you learned something!
A=p(1+i/m)^mn
P=3168
i=0.1275
M=12
n=3/12
A=3,168×(1+0.1275÷12)^(12*3/12)
A=3,270.06
The key words you should notice when looking at this word problem are “less than.” This means that the order is flipped, so “3 less than k” means “k minus 3.”
The expression for the ratio is k-3:k+3
Hope this helps
