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Fantom [35]
3 years ago
9

Which expression correctly states that XY is congruent to VW?

Mathematics
1 answer:
monitta3 years ago
7 0
We are given to lines XY and VW. Now we need to determine the expression that correctly states that these lines are congruent. One possibility to prove that they're congruent is if they are two separate lines and:

XA is congruent to VB,
AY is congruent to BW
XA + AY = XY
VB + BW = VW

Then we can conclude that if the statements above are true, XY and VW must be congruent to each other. 

Another possibility is that they are two sides of an isosceles rectangle XYVW and are opposite sides of the rectangle. <span />
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Solve the expression for x: (4 – 2) (x – 2) = 4x – 8 A. x = –2 B. x = 0 C. x = 6/5 D. x = 2
Ratling [72]

Answer:

Option D) x = 2

Step-by-step explanation:

(4-2)(x-2) = 4x - 8

Distribute and simplify 4-2

2(x-2) = 4x - 8

2x-4 = 4x -8

Subtract 2x on both sides and add 8 on both sies

4x - 8 = 2x-4

2x= 4

Divide 2 on both sides

x = 2

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

7 0
3 years ago
Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots inclu
Pepsi [2]

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

99.90 + 89.90 = 189.80

Step 2: Find the sales tax of the result

\frac{8}{100}\times 189.8 = 15.184

  • Step 1: Convert 8% to fraction
  • 8\%= \frac{8}{100}
  • Simplify
  • \frac{8}{100} = \frac{2}{25}
  • Step 2: Convert 189.80 to a fraction
  • 189.80 = \frac{189.8}{1}
  • Step 3: Set it up
  • \frac{2}{25}\times \frac{189.8}{1}
  • Step 4: Cross divide
  • 189.80 \div 25 = 7.592\\2 \div 1 = 2
  • Step 5: Multiply the result
  • 7.592 \times 2 = 15.184

Step 3: Add the result from the total cost of both items

189.80 + 15.184 = 204.98

The total cost of the hats and boots including sales tax is 204.98 dollars

7 0
2 years ago
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