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Oliga [24]
3 years ago
9

Given ∆PRS ≅ ∆CFH, find the values of x, y, and z.x=y=z=​

Mathematics
1 answer:
Goshia [24]3 years ago
5 0
Figure

We need it


Mark brainliest please


Hope this helps
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Find x.<br><br> 2 √6<br> 6 √2<br> 12<br> 8
Neko [114]

Answer:

6 sqrt(2)

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 45 = 6 /x

Multiply each side by x

x sin 45 = 6

Divide each side by sin 45

x = 6  / sin 45

We know that sin 45 = sqrt(2)/2

x = 6 / (sqrt(2) /2)

x = 12/ sqrt(2)

Multiply by sqrt(2)/ sqrt(2)

x = 12 sqrt(2)/ (sqrt(2)*sqrt(2))

x = 12 sqrt(2)/2

x = 6 sqrt(2)

3 0
3 years ago
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You have a roll of tape that is 60 meters long. How many yards do you have? Note: 1 yd = .9144 meter. A)50 yards B) 60 yards C)6
adelina 88 [10]
That would be 60 / 0.9144 = 66 yards
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3 years ago
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Isabel found 54 coins at the bottom of her backpack. when she looked, she noticed they were only nickels and dimes. Isabel count
goblinko [34]

She had 23 nickles and 31 dimes

Step-by-step explanation:

The given is:

  • Isabel found 54 coins at the bottom of her backpack
  • She noticed they were only nickels and dimes
  • Isabel counted the coins and they totaled $4.25

We need to find how many nickels and dimes she had

Assume that the number of nickels is x and the number of dimes is y

∵ Isabel had 54 coins

∵ The number of nickels is x

∵ The number of dimes is y

∴ x + y = 54 ⇒ (1)

∵ 1 nickle = 5 cents

∵ 1 dime = 10 cents

∵ The coins totaled $4.25

- Change the dollars to cents

∵ 1 dollar = 100 cents

∴ $4.25 = 4.25 × 100 = 425 cents

- Multiply the number of nickles by 5 and the number of dimes

  by 10, add the two products and equate the sum by 425

∴ 5x + 10y = 425 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -155

- Divide both sides by -5

∴ x = 23

Substitute the value of x in equation (1) to find y

∵ 23 + y = 54

- Subtract 23 from both sides

∴ y = 31

She had 23 nickles and 31 dimes

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
Add 7/10 + (-17/20)....
r-ruslan [8.4K]

7/10 + (-17/20)

Make the denominators equal:

14/20 + (-17/20)

Add:

-3/20

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Jocelyn bought 2 sweaters for the same price. She paid $23.56, including sales taxes of $1.36 and a $5.00 discount coupon. What
yKpoI14uk [10]
13.60 because you add the coupon discount back on and subtract tax cost and divide by 2 
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