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2 years ago

Find x and y. Give reasons to justify your solution

Mathematics

2 answers:

Luda [366]2 years ago

8 0

Step-by-step explanation:

27 + 3y = 90

3y = 90 - 27

y = 21

27 + (21×3) + x + 8x + 18 = 180 ( angles on a straight line sum up to 180)

9x + 108 = 180

9x = 180 - 108

9x = 72

x = 72/9

x = 8 degrees

kkurt [141]2 years ago

4 0

Answer:

Y=21

X=8

Step-by-step explanation:

In the middle there is a right angle

therefore 27 +3y=90

Y will be 21

Then x+27+63+8x+18=180

x=8

Hence 8+27+3(21)+8(8)+18=180

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Answer:

9 1/8 ribbon would be remaining

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2 years ago

Find the measures of all four angles if 3·(m∠1+m∠3) = m∠2+m∠4.

mixas84 [53]

Answer:

Step-by-step explanation:

m∠1=m∠3

m∠2=m∠4

3*(m∠1+m∠3)=m∠2+m∠4

3*(m∠1+m∠1)=m∠2+m∠2

3×2 m∠1=2 m∠2

m∠2=3 m∠1

now m∠1+m∠2=180°

m∠1+3 m ∠1=180

4 m∠1=180

m∠1=180/4=45°

m∠3=45°

m∠2=180-m∠1=180-45=135°

m∠4=135°

5 0

3 years ago

What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?

Art [367]

Answer:

The volume of hemisphere is 19.4 cubic meter.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

$Radius\ (r) = 2.1 m.$

So, we put formula to get the volume of hemisphere:

$Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.$

Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.

Therefore, the volume of hemisphere is 19.4 cubic meter.

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2 years ago

Where is expression that equals 40 it through the exponent

Lisa [10]

10 it the power of 4

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3 years ago

Find the slope of the line passing through the points (-4.0) and (7,0)

Veronika [31]

slope = (y2-y1)/ (x2-x1)

m = (0-0)/ (7--4)

m = 0/11

m=0

the slope is 0

4 0

3 years ago

Read 2 more answers