Answer:
Part 1) m∠EFG=94°
Part 2) m∠GFH=86°
Step-by-step explanation:
we know that
m∠EFG+m∠GFH=180° -----> by linear pair (given problem)
we have
m∠EFG=3n+22
m∠GFH=2n+38
substitute the values
(3n+22)°+(2n+38)°=180°
Solve for n
(5n+60)=180
5n=180-60
5n=120
n=24
<em>Find the measure of angle EFG</em>
m∠EFG=3n+22
substitute the value of n
m∠EFG=3(24)+22=94°
<em>Find the measure of angle GFH</em>
m∠GFH=2n+38
substitute the value of n
m∠GFH=2(24)+38=86°
Answer:
269.6 square centimeters
Step-by-step explanation:
<u><em>The correct question is</em></u>
The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm
we know that
The surface area of a rectangular prism is equal to
![SA=2B+PH](https://tex.z-dn.net/?f=SA%3D2B%2BPH)
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
we have
![L=6.4\ cm\\W=4\ cm\\H=10.5\ cm](https://tex.z-dn.net/?f=L%3D6.4%5C%20cm%5C%5CW%3D4%5C%20cm%5C%5CH%3D10.5%5C%20cm)
<em>Find the area of the base B</em>
![B=LW](https://tex.z-dn.net/?f=B%3DLW)
substitute the given values
![B=(6.4)(4)=25.6\ cm^2](https://tex.z-dn.net/?f=B%3D%286.4%29%284%29%3D25.6%5C%20cm%5E2)
<em>Find the perimeter of the base P</em>
![P=2(L+W)](https://tex.z-dn.net/?f=P%3D2%28L%2BW%29)
substitute the given values
![P=2(6.4+4)=20.8\ cm](https://tex.z-dn.net/?f=P%3D2%286.4%2B4%29%3D20.8%5C%20cm)
<em>Find the surface area</em>
![SA=2B+PH](https://tex.z-dn.net/?f=SA%3D2B%2BPH)
substitute
![SA=2(25.6)+(20.8)10.5=269.6\ cm^2](https://tex.z-dn.net/?f=SA%3D2%2825.6%29%2B%2820.8%2910.5%3D269.6%5C%20cm%5E2)
Last choice the area becomes 25 times greater
Answer:
7.37108cmx7.37108cmx7.37108cm
Step-by-step explanation:
Find the volume of the cylinder then take the cube route of that. You should end up with ~7.38108cm which is the length, width, and height of your cube. The volume is 402.12386cm cubed.