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3 years ago

Please someone help me with this math question.

Mathematics

1 answer:

svetoff [14.1K]3 years ago

8 0

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements: Reasons:

$\displaystyle 1) \, \Delta ABC \text{ is isosceles with } AC = BC$ Given

$\displaystyle 2) \, CE = CD$ Given

$\displaystyle 3)\, \angle ACE \cong \angle BCD$ Vert. Angles Are Cong.

$\displaystyle 4) \, \Delta ACE \cong \Delta BCD$ SAS Congruence

$\displaystyle 5)\, AE \cong BD$ CPCTC

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Find the value of x and y that make the quadrilateral

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The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

$4x+6=7x-3$

We can solve that equation for x

$\begin{gathered} 4x+6=7x-3 \\ \\ 3x=9 \\ \\ x=\frac{9}{3}=3 \end{gathered}$

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Then the value of y is 4.

Final answers:

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1 year ago

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3 years ago

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MArishka [77]

Answer:

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3 years ago

Rectangle PQRS has vertices at P(-3, 5), Q(8, 5), R(8, 0) and S. The coordinates of point S are

viktelen [127]

Answer:

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Step-by-step explanation:

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