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vlada-n [284]
3 years ago
13

Find the measure answer for (b) open image

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0

Answer:

y = 27°

Step-by-step explanation:

3y + 53 = 7y - 55

53 + 55 = 7y - 3y

4y = 108

y = 108 : 4

y = 27°

3(27) + 53 = 81 + 53 = 134°

Burka [1]3 years ago
4 0

Answer:

134 degrees

Step-by-step explanation:

well, you know that the two given angles are congruent because of alternate exterior congruence. this means you can set them equal to each other:

3y + 53 = 7y - 55

then you want to solve. add 55 to both sides: 3y + 108 = 7y.

then subtract 3y from both sides. 108 = 4y

then divide both sides by 4 because you want y by itself. y = 27. now that you have found y, you can fill it in for the indicated angle. so, 3(27) + 53

so then you simplify it and you get: 81 + 53, which is 134, so your answer is that the indicated angle =134 degrees.

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7nadin3 [17]

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Step-by-step explanation:

7 0
2 years ago
What is the product of -6x3y5 and -4y2? A. -24x3y7 B. -24x3y10 C. 24x3y7 D. 24x3y10
Leto [7]

Answer:

C

Step-by-step explanation:

So we have the product of:

(-6x^3y^5)\cdot(-4y^2)

Multiply. Combine like terms:

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The first term is 24.

The second term stays as it is.

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5 0
3 years ago
The guttering hold up to 20 litre of rain water. Work out the length of guttering in meters if the diameter is 11.5cm.
bazaltina [42]

Answer:

1107.0213 cm

Step-by-step explanation:

Assuming this gutter is half a cylinder,

Volume of half a cylinder = 0.5(πr²l)²

where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?

But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³

It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,

1000 L = 1 m³

     1 L = ?

1 ÷ 1000 = 0.001 m³

      1 m³ = 1,000,000cm³

0.001 m³ = ?

0.001 x 1,000,000 = 1000 cm³

So, if 1 L = 1000 cm³

      20 L = ?

20 x 1000 = 20,000 cm³

Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)

20,000 = 0.5(3.142 x 5.75 x l)

20,000 = 18.0665l

Make l the subject and divide both sides by 18.0665

length = 1107.0213 cm

6 0
2 years ago
Rosa is putting carpet in her rectangular bedroom. She made a scale drawing using the scale of 1 inch = 3 feet. In the drawing,
AfilCa [17]

Answer:

$59768.28

Step-by-step explanation:

5.5*36=198

3.25*36=117

117*198=23166

23166*2.58= thats a big room, let alone a lot of money

7 0
3 years ago
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