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Lubov Fominskaja [6]
2 years ago
5

In△XYZ , XY¯¯¯¯¯¯=7in , YZ¯¯¯¯¯=5in , and XZ¯¯¯¯¯=4in . This triangle is reflected across the x-axis to result in △X'Y'Z' . Whic

h is true? A X'Z'¯¯¯¯¯¯¯=2in B X'Y'¯¯¯¯¯¯¯=7in C Y'Z'¯¯¯¯¯¯¯=10in D Perimeter of △X'Y'Z'=32in
Mathematics
1 answer:
ki77a [65]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Reflection is a transformation that preserves lengths.

Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.

This means that corresponding sides have the same lengths:

  • XY = X'Y' = 7 in;
  • XZ = X'Z' = 4 in;
  • YZ = Y'Z' = 5 in.

Find the perimeters of both triangles:

P_{XYZ}=XY+XZ+YZ=7+4+5=16\ in\\ \\P_{X'Y'Z'}=X'Y'+X'Z'+Y'Z'=7+4+5=16\ in

Hence, only option B is true.

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6 0
2 years ago
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Stella wants to buy colored pencils that cost $3.50. She has 1 dollar, 5 quarters, 4 dimes, and 7 pennies. Does she have enough
Andrews [41]

Answer:

no

Step-by-step explanation:

Lets she how much money she has

1.00   dollars

5 * .25 = 1.25 quarters

4 * .10 = .40 dimes

7 * .01 = .07 pennies

Add it all together

1 + 1.25+ .40 +.07 =2.72

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She is 78 cents short

6 0
3 years ago
Find the area of the figure.
Ivanshal [37]

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

= 3.5 \times 3 \\  = 10.5 {mm}^{2}

Area of Quarter- Circle = 1/4 x Area of Circle

=  \frac{1}{4} \pi {r}^{2}  \\  =  \frac{1}{4} \pi( {3.5}^{2} ) \\  = 3 \frac{1}{16} \pi {mm}^{2}

Area of Rectangle at the right = Length x Width

= 5.5 \times 3.5 \\  = 19.25 {mm}^{2}

Total Area = Area of 2 Rectangles + Area of Quarter Circle

= 10.5 + 3 \frac{1}{16} \pi + 19.25 \\  = 29.75 + 3  \frac{1}{16}\pi  \\  = 32  \frac{13}{16}\pi {mm}^{2}

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

8 0
2 years ago
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Marysya12 [62]
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4 0
2 years ago
Please help!! Use cube root to solve. Will give brainliest!!
marissa [1.9K]

Answer: x=-17

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4 0
2 years ago
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