<h3>
Answer: y = 3</h3>
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This is because quadrilateral JMQP is also a parallelogram. Note the arrow markers to tell us that JM is parallel to PQ, and also JP is paralle to QM.
A parallelogram has its opposite sides parallel, and those opposite sides are the same length.
JM = PQ and JP = QM
Because y = QM, QM = JP, and JP = 3, this means y = 3.
Answer:
She started with 200 stamps
Step-by-step explanation:
The answer is 45. 180-90=90. 90 divided by 2 is 45
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
