Answer:AGC and DGH are opposite angles.
Step-by-step explanation:
So, Y+10=3x-40
Y-3x=-50-(1)
3x-40=2x
3x-2x=40
x=40
Y-3x40=-50
y-120=-50
y=-50+120
y=70
Hence, the answer is A 70°
Answer:
57
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given : The height of the rectangle = 
The width of the rectangle = 
Formula : Area = height x width
Therefore , the area of triangle in terms of polynomial will be :
![6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3](https://tex.z-dn.net/?f=6k%5E3%5Ctimes%28%202k%5E2%2B4k%2B5%29%5C%5C%5C%5C%3D%206k%5E3%282k%5E2%29%2B6k%5E3%284k%29%2B6k%5E3%285%29%5C%20%5C%20%5B%5Ctext%7BUsing%20Distributive%20property%7D%5D%5C%5C%5C%5C%3D12k%5E%7B3%2B2%7D%2B24k%5E%7B3%2B1%7D%2B30k%5E3%5C%20%5C%20%5B%5Ctext%7BUsing%20exponents%20rule%7D%3A%5C%20a%5En%5Ctimes%20a%5Em%3Da%5E%7Bn%2Bm%7D%5D%5C%5C%5C%5C%3D12k%5E5%2B24k%5E4%2B30k%5E3)
Hence, the area of the entire rectangle =
<span>There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20 </span>
Answer:
1 and 3, 2 and 4, 5 and 7, and 8 and 65
Step-by-step explanation:
Vertical Angles Congruence Theorem