In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make ABCD a parallelogram?

Q: Prove ABCD is a parallelogram. Justify mathematically and explain.

A: Given vertices of quadrilateral are A(-1,3) B(3,2) C(2,-5) D(-2,-4) Prove ABCD is a parallelogram

Q: 2. Which piece of information would prove a parallelogram is not a rectangle? The diagonals are…

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Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x+13) (4y + 7)° (3x-8)°…

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Q: State the relationships between squares, rectangles, par all organs and rhombi.

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Q: 10. 57 57°

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Q: Show algebraically that quadrilateral WXYZ is a parallelogram. W(-5, -2), X(-3, 3), Y(3, 5), Z(1, 0)…

A: Distance formula: you can use this formula to find the distance between the two points.

Q: The coordinates of quadrilateral MNOP are M (-1, -4), N (2, -2), O (5, -4), and P (2, -6). 10 8 2…

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Q: 4. The coordinates of quadrilateral KMHS are K (-5, 2), M (1,3), H (2, -3), and S (-4, -4). 10 2 -…

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Q: 4х+8 4(2x-3)

A: Since we know that the diagonal of parallelogram bisect each other, so 4x+8=4(2x-3)  4x+8=8x-12…

Q: [A -9-8-7-6-5-4-3-2 B O (-4,-5) O (-14,-11) O(-12,-13) O (11,14) (-11,-14) D 2 3 -5 -6 -7 -8 -9 1

A: Point B , (-9,-8)

Q: What is the measure of ∠B if the measure of ∠A=82⁰ and quadrilaterals ABCD and AXYZ are…

A: The adjacent angles of a parallelogram are supplementary.

Q: If OPQR is a parallelogram, what are the coordinates of Q?

A: We know that if OPQR is a parallelogram then length of OP will be equal to length of RQ and OP will…

Q: State which theorem you can use to show that the quadrilateral is a parallelogram

A: 8.) Given that,  the figure is quadrilateral We can use this above theorem Theorem:-  If the…

Q: 3. The coordinates of quadrilateral PQRS are P (-6, -3), Q (3, 3), R (5,0), and S (-4, -6). 10 -2…

A: A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with any opposite…

Q: J K 108° (5х - 2)° M

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Q: What attributes are shared by parallelogramsand rectangles?

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Q: 4. K(5, -3), L(7, 1), M(9, -3). N(7. -7)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…