All categories

3 years ago

In the given figure p=120° and y : z=2 : 3 Find x, y and z

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 , 2y = 3z or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check: 60 + 72 + 48 = 180

You might be interested in

a rectangle has a length of 15 inches less than 5 times it’s width. If the area of the rectangle is 2750 square inches. what is

irakobra [83]

let L = length and let W = width.

Use the equations 2L + 2W = 2750

and L = 5W + 15

Then do the steps as follows -

1. Plug the equation for what L equals into the first equation

2(5W+15) + 2W = 2750

2. Then distribute the 2

10W + 30 + 2W = 2750

3. Then add like terms

12W + 30 = 2750

4. Then subtract 30 from both sides

12W = 2720

5. Divide by 12 on both sides

W = 226.67

6. Then plug that into the second equation

L = 5(226.67) + 15

L = 1148.35 should be the answer

4 0

2 years ago

Find the value of each power 1. 3 to the power of negative 3 2. 4 to the power of 4

Nostrana [21]

Answer:

1. 1/3

2. 256

Step-by-step explanation:

3/3/3 is .133333 (3's are repeated)

4*4*4*4 is 256

5 0

3 years ago

The ratio of the length of a rectangle to its width is 8 to 5. If the longer side of the rectangle is 20ft, what is the length o

choli [55]

Answer: The answer is 12.5 ft.

Step-by-step explanation: Given that there is a rectangle with ratio of its length to breadth 8 : 5. Also, the longer side of the rectangle is 20 feet. We are to find the length of the shorter side.

Let, '8x' and '5x' be the length and breadth of the rectangle respectively. Since length is the longer side, so we have

$8x=20\\\\\Rightarrow x=\dfrac{20}{8}\\\\\\\Rightarrow x=2.5.$

Therefore, width, length of the shorter side will be

$W=5x=5\times 2.5=12.5~\textup{ft.}$

Thus, the length of the shorter side is 12.5 ft.

6 0

3 years ago

Read 2 more answers

Helpp I’ll Mark you brainiest if your correct

patriot [66]

The answer is 586.17 cm^2

6 0

2 years ago

Brian buys a computer for £4300. It depreciates at a rate of 3% per year. How much will it be worth in 6 years? Give your answer

aalyn [17]

Answer:

3526

Step-by-step explanation:

4300×3%=129

129×6=774

4300_774= 3526

4 0

2 years ago

Read 2 more answers

In the given figure p=120° and y : z=2 : 3 Find x, y and z​

In the given figure p=120° and y : z=2 : 3 Find x, y and z