Answer:
m(∢G)=63°
m(∢H)=27°
Step-by-step explanation:
m(∢G)=3x+6
m(∢H)=2x-11
m(∢G)+m(∢H)=90°
3x+6+2x-11=90°
5x=95°=>x=19°
m(∢G)=3*19°+6°=63°
m(∢H)=2*19°-11°=27°
Answer:
![x=6](https://tex.z-dn.net/?f=x%3D6)
Step-by-step explanation:
Given equation:
![x-\left(2x-\dfrac{3x-4}{7}\right)=\dfrac{4x-27}{3}-3](https://tex.z-dn.net/?f=x-%5Cleft%282x-%5Cdfrac%7B3x-4%7D%7B7%7D%5Cright%29%3D%5Cdfrac%7B4x-27%7D%7B3%7D-3)
Expand the left side:
![\implies x-2x+\dfrac{3x-4}{7}=\dfrac{4x-27}{3}-3](https://tex.z-dn.net/?f=%5Cimplies%20x-2x%2B%5Cdfrac%7B3x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-27%7D%7B3%7D-3)
Let all terms on the left side have the same denominator of 7:
![\implies \dfrac{7x}{7}-\dfrac{14x}{7}+\dfrac{3x-4}{7}=\dfrac{4x-27}{3}-3](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B7x%7D%7B7%7D-%5Cdfrac%7B14x%7D%7B7%7D%2B%5Cdfrac%7B3x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-27%7D%7B3%7D-3)
Join the terms on the left side:
![\implies \dfrac{7x-14x+3x-4}{7}=\dfrac{4x-27}{3}-3](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B7x-14x%2B3x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-27%7D%7B3%7D-3)
![\implies \dfrac{-4x-4}{7}=\dfrac{4x-27}{3}-3](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B-4x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-27%7D%7B3%7D-3)
Let all the terms on the right side have the same denominator of 3:
![\implies \dfrac{-4x-4}{7}=\dfrac{4x-27}{3}-\dfrac{9}{3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B-4x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-27%7D%7B3%7D-%5Cdfrac%7B9%7D%7B3%7D)
Join the terms on the right side:
![\implies \dfrac{-4x-4}{7}=\dfrac{4x-27-9}{3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B-4x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-27-9%7D%7B3%7D)
![\implies \dfrac{-4x-4}{7}=\dfrac{4x-36}{3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B-4x-4%7D%7B7%7D%3D%5Cdfrac%7B4x-36%7D%7B3%7D)
Cross multiply:
![\implies 3(-4x-4)=7(4x-36)](https://tex.z-dn.net/?f=%5Cimplies%203%28-4x-4%29%3D7%284x-36%29)
Expand:
![\implies -12x-12=28x-252](https://tex.z-dn.net/?f=%5Cimplies%20-12x-12%3D28x-252)
Add 12x to both sides:
![\implies -12=40x-252](https://tex.z-dn.net/?f=%5Cimplies%20-12%3D40x-252)
Add 252 to both sides:
![\implies 240=40x](https://tex.z-dn.net/?f=%5Cimplies%20240%3D40x)
Divide both sides by 40:
![\implies 6=x](https://tex.z-dn.net/?f=%5Cimplies%206%3Dx)
![\implies x=6](https://tex.z-dn.net/?f=%5Cimplies%20x%3D6)
Answer:
what transformation and is there and mulitple choice questions
Step-by-step explanation:
The answer would be D, I think? Since it doesn’t tell us about the cost of subs at all three sandwich places.
Hope this helps!
Answer:
Step-by-step explanation:
Divide each of these prices by 16 because we can't have the cost per pound and divide by 1 pound when we want the price per ounce. There are 16 ounces in 1 pound.
For the flat-iron, the cost per ounce is 5.60/16 = 35 cents per ounce.
For the T-bone, the cost per ounce is 5.44/16 = 34 cents per ounce.
For the Strip, the cost per ounce is 4.48/16 = 28 cents per ounce.
For the Porterhouse, the cost per ounce is 4.96/16 = 31 cents per ounce.
It appears that the one that costs 34 cents per ounce is the T-Bone.