A carpenter cuts the corners of a rectangle to make the trapezoid shown.
1 answer:
The value of x in the trapezoid is 11.
<h3>Properties of an isosceles trapezoid</h3>- The base angles are the same
- The sum of opposite angles is 180° or supplementary.
- The diagonals are the same in length.
Therefore, the angle 9x and 7x + 4 are supplementary.
Hence,
9x + 7x + 4 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176 / 16
x = 11
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Step-by-step explanation:
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- Rearrange the equation by subtracting what is to the right of the greater than sign (≤, ≥) from both sides of the inequality:
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- Divide both sides by
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- Remember to flip the inequality sign:
- Subtract
from both sides:
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