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Blizzard [7]
3 years ago
5

In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?

Mathematics
2 answers:
BigorU [14]3 years ago
8 0

Answer:

3

Step-by-step explanation:

The diagonals of a parallelogram are congruent.  This means that WC = 2x+5 = CY = 3x+2:

2x+5 = 3x+2

Subtract 2x from each side:

2x+5-2x = 3x+2-2x

5 = x+2

Subtract 3 from each side:

5-2 = x+2-2

3 = x

Akimi4 [234]3 years ago
6 0
The diagonals of a parallelogram bisect each other.
Therefore WC = CY.
That is,
2x + 5 = 3x + 2
Subtract 2x from each side.
5 = 3x - 2x + 2
5 = x + 2
Subtract  from each side.
5 - 2 = x + 2 - 2
3 = x

Answer:  x = 3

Hope this helps!
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A contractor is hired to build an apartment complex. Each 840-square-foot unit has a bedroom, kitchen, and bathroom. The bedroom
Dennis_Churaev [7]

Answer:

350 sq ft

Step-by-step explanation:

Given that:

840 sq ft area has a bedroom, kitchen and bathroom.

Let the area of bedroom be x sq ft.

Then the area of kitchen will also be x sq ft.

Let the area of bathroom be y sq ft.

As per question statement:

x+y+x=840\\\Rightarrow 2x+y=840 ...... (1)

Tiles ordered to cover two kitchens and two bathrooms is 980 sq ft.

i.e.

2x+2y=980 ..... (2)

Subtracting equation (1) from (2):

i.e. (2) - (1):

y = 140 sq ft

Putting the value of y in (1):

2x+140=840\\\Rightarrow 2x =700\\\Rightarrow \bold{x=350\ sq\ ft}

Therefore, the carpet needed for each bedroom = <em>350 sq ft</em>

8 0
4 years ago
Can someone help with this question on math please
Mariana [72]
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8 0
3 years ago
What is the product of all values of b that satisfy (b-2)(b-8) +4= 0 ?
pentagon [3]

Answer:

D

Step-by-step explanation:

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6 0
3 years ago
Jamal works as an electrician's apprentice. He rewired 4 electrical outlets in 1 and one-halfhours. If he works at the same pace
iragen [17]

Answer:

We conclude that Jamal will rewired 20 electrical outlets for 7.5 hours.

Step-by-step explanation:

We know that Jamal  rewired 4 electrical outlets in 1 and one-half hours. We calculate how many electrical outlets will he rewired for 7.5 hours.

We have the following proportion:

4:1.5=x:7.5\\\\1.5x=4\cdot 7.5\\\\1.5x=30\\\\x=\frac{30}{1.5}\\\\x=20

We conclude that Jamal will rewired 20 electrical outlets for 7.5 hours.

3 0
3 years ago
Read 2 more answers
What is 1459 * 569/7+997​
Daniel [21]

Answer:

837150 /7

Step-by-step explanation:

459( 569 /7 )+997

=

830171 /7 +997

=

837150 /7

3 0
3 years ago
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