<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.
This picture should provide a full answer. What I did was rearrange the equation to get Tan(x) on one side, then in order to get rid of the Tan, I used Arctan, which got us the final answer.
Answer:
He needs 3 cups of sugar, so he should use 1 cup less
Step-by-step explanation:
<span> remainder is f(3) </span>
<span>3^3 - 6*3^2 - 9*3 + 3 </span>
<span>= 27 - 54 - 27 + 3 </span>
<span>= -51</span>
Answer:
Step-by-step explanation:
55+4x