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kvasek [131]
3 years ago
10

In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.

Mathematics
2 answers:
notsponge [240]3 years ago
8 0

Answer:

x=35 y=20

Step-by-step explanation:

earnstyle [38]3 years ago
4 0
The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

3(2y - 5) - 1 = 5y + 4

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute 20 for y in the first original equation.

x + 5 = 2y

x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20
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Given angle ABC shown on the coordinate plane below.
Crank

The attached image shows the image of A"B"C" after the transformation

<h3>What is the transformation of the triangle about?</h3>

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

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C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

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B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

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6 0
1 year ago
Deidre is factoring the polynomial x2 + 2x - 24
AlexFokin [52]
4x-24 will be your correct awnser
6 0
3 years ago
Read 2 more answers
Use substitution to solve the system of equations :
mote1985 [20]

Answer:

x=1

y=-4

Step-by-step explanation:

4x+y=0  ->    y= -4x

2(-4x)+x=-7

-8x+  x=-7

-7x=-7

x=-7/-7=1

y=-4 . 1 = -4

3 0
3 years ago
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