<u>Answer:</u>
C = 145.4°
By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.
<u>Step-by-step explanation:</u>
Linear pairs are found on a straight line, so they total to 180°.
C + D = 180 ......eq'n [1]
C is seven more than four times D can be represented with this equation:
C = 4D + 7 ........eq'n [2]
We can solve by <u>substituting [2] into [1]</u>, replacing "C".
C + D = 180
4D + 7 + D = 180
Collect like terms
5D + 7 = 180
Subtract 7 from both sides
5D = 173
Divide both sides by 5
D = 173/5
As a decimal, D = 34.6°.
Using eq'n [2], find C. Substitute the value of "D". Solve.
C = 4D + 7
C = 4(173/5) + 7
C = (692/5) + 7
C = (692/5) + (35/5) Find a common denominator.
C = (692+35)/5 Combine into numerator.
C = 727/5
As a decimal, C = 145.4°.
Answer: A rational number is any number that can be written as a fraction where the numerator and denominator are counting numbers.
Hope this helps
Step-by-step explanation:
-8 = trevon
(3/4)-8 = beth
= -6
1/4[(3/4)-8] = leah
1/4(-6)
= -1.5
Weight of container =102pounds
<h3>Explaination:</h3>
A shipping container is in the shape of right rectangular prism with the length of the 12feet away, the 8.5 and the height of the 4feet.
The container is completely filled with contants that weigh on average 0.25 pounds of the contents of the container .
Right rectangular prism is a cuboid. Volume of Right rectangular prism=12* 8.5* 4 =408
Cubif feet content destiny=0.25pounds per cubic food
Density = Mass/Volume
= 0.25= weight of contents in the container/Volume of container
= 0.25= weight of contents in container/408
= Weight of contents = container
= 0.25* 408
= Weight of container = 102 pounds
May it helps you