Answer:
D
Step-by-step explanation:
Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.
Answer:
The height of the prism is 9 meters
Step-by-step explanation:
* Lets describe the rectangular prism
- The rectangular prism has six rectangular faces
- Two of them are bases and the other four are side faces
- The rectangular prism has three dimensions length, width , height
- The volume of any prism = Area of the base × its height
∵ The base of the rectangular prism is a rectangle
∵ Area any rectangle = length × width
∴ The volume of the rectangular prism V = length × width × height
* Lets solve the problem
∵ The volume of the prism is 810 meter³
∵ Its length is 10 meter
∵ Its width is 9 meters
∵ V = length × width × height
- Substitute the values of the volume , the length and the width in
the equation of V
∴ 810 = 10 × 9 × h
∴ 810 = 90 × h
- Divide both sides by 90
∴ 9 = h
∴ The height of the prism is 9 meters
The factors of 16 are 1, 2, 4, 8, and 16.
<span>The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. </span>
<span>The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. </span>
<span>So the greatest common factor of 16, 24, and 40 is 8.
Hope this helps:)</span>
Step 1:
Recruiter fee:
15% x $178,450= $26,767.50
Step 2:
Add all costs
$26,767.50 + $178,450 + $1,341 + $713.98= $207,272.48
$207,272.48 total cost of hiring
Hope this helps! :)
Answer: 3
Step-by-step explanation:
We know that since a translation is a rigid motion, and that rigid motions preserve distance, the length of the transformed segment is the same as the given line segment.
