What is 7.4 x 10 and what is 7.4 x 100
2 answers:
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Answer:
Step-by-step explanation:
Area of triangle = 0.5 × Base × Height
→ Substitute in the values
200 = 0.5 × 5x × 5x
→ Simplify
200 = 12.5x²
→ Divide both sides by 12.5
16 = x²
→ Square root both sides
4 = x ∴ x = 4
<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.
