Raychel drove to the mountains last week there was heavy traffic on the way there and on the trip took 12 hours when Raychel dro
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Answer:
Step-by-step explanation:
Solve for the value of :
-Take and subtract it from
:
-Subtract both sides and convert to a fraction:
Since both and
have the same denominator, then you would subtract the numerator:
-Multiply both sides by , which is the reciprocal of
:
-Divide by
:
So, therefore, the value of is
.
<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.