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pentagon [3]
3 years ago
7

60% of what number is 21

Mathematics
2 answers:
trapecia [35]3 years ago
4 0
'of' in mathematics means multiplication
'is' in mathematics means equal

Translating 60% of what number is 21 into an equation, we get:

60% * x = 21

60%, or 60 percent, is 60 over 100 which is 60/100. This can be simplified to 3/5.

3/5 * x = 21

Multiply both sides by 5.

3/5 * 5 * x = 21 * 5

3x = 105

Divide 3 on both sides.

3x/3 = 105/3

x = 35

60% of 35 is 21.
Lerok [7]3 years ago
3 0
60% of 35 is 21 

Change the percentage (60) into a decimal by dividing it over 100:
\frac{60}{100} = 0.6

Divide 21 by the decimal:
<span>\frac{21}{0.6} = 35</span>
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Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.
alisha [4.7K]

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.

<h3>What is a parallelogram?</h3>

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the opposite sides are equal and parallel to each other. We can write,

AD ≅ BC

Since BX ≅ DY, therefore, we can write,

AB = CD

AX + XB = DY + YC

XB = DY, cancelling both the sides,

AX = YC.

Also, XY is the common side.

Since all the sides are equal also the angle are equal, therefore, it can be written,

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Given the area of CYXB is 71.5 square units. Therefore,

ABCD = CYXB + AXDY

ABCD = 2(CYXB)

ABCD = 143 square units.

Hence, the correct option is D.

Learn more about Parallelogram:

brainly.com/question/1563728

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8 0
2 years ago
Factor: d2 + 16dm + 64m2
lutik1710 [3]

Answer:

(d + 8m)^2

Step-by-step explanation:

d^2 + 16dm + 64 m^2  = (d + 8m)^2

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