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AleksandrR [38]
3 years ago
15

Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. If AD=4w-5 DE=4 BE=x/2 BC=7w-17 solve for w.

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0

Answer:

B. w = 4

Step-by-step explanation:

As we know, in a parallelogram length of opposite sides are equal.

so, AD = BC

⇒ 4w - 5 = 7w - 17

⇒ 12 = 3w

⇒ w = 4

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Answer:

x = -4

Step-by-step explanation:

<u>Step 1:  Subtract 2x from both sides</u>

2x - 2 - 2x = 4x + 6 - 2x

<em>-2 = 2x + 6</em>

<em />

<u>Step 2:  Subtract 6 from both sides</u>

-2 - 6 = 2x + 6 - 6

<em>-8 = 2x</em>

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<u>Step 3:  Divide both sides by 2</u>

-8 / 2 = 2x / 2

<em>-4 = x</em>

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Answer:  x = -4

5 0
3 years ago
X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.
Sunny_sXe [5.5K]

The values of x and y are 99 and 343

<h3>The HCF</h3>

The HCF of numbers is the highest common factors of the numbers

<h3>The LCM</h3>

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

HCF = 21

LCM = 1617

Multiply the HCF and the LCM

HCF \times LCM = 21 \times 1617

HCF \times LCM = 33957

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

x \times y = 33957

<h3>Prime Factors</h3>

Express 33957 as a prime factor

x \times y = 3^2 \times 7^3 \times 11

Rewrite the equation as

x \times y = 99 \times 7^3

x \times y = 99 \times 343

By comparison:

x = 99

y= 343

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

6 0
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Step-by-step explanation:

A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)

4 0
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Leviafan [203]

Answer:

yes

Step-by-step explanation:

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4 0
2 years ago
A. -24<br> B. -20<br> C. -5<br> D. -4
Ivahew [28]
I believe your answer is C
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