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3 years ago

△ABC is the image of △XYZ after a sequence of rigid transformations.

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

7 0

Answer:D.

Step-by-step explanation:I took the test

Korvikt [17]3 years ago

3 0

Answer:

D. ∠B≅∠Y, ∠A≅∠X, ∠C≅∠Z

Step-by-step explanation:

Corresponding angles are in the same order in both triangle names. That is, the corresponding angles are ...

(A, X), (B, Y), (C, Z)

Rigid transformations do not change any angles, so the angles of the image are the same as the corresponding angles of the original.

∠A≅∠X, ∠B≅∠Y, ∠C≅∠Z . . . . . matches selection D

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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

Monica [59]

Answer: $4x^{2}+80x-500=0$

Step-by-step explanation:

1. You know that:

- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

$A=l*w$

Where $l$ is the lenght and $w$ is the width.

You have that the lenght and the width in feet are:

$l=30\\w=10$

3. Let's call $x$ the width of the roped-off area. Then, the combined area is:

$A_c=l_c*w_c$

Where

$A_c=800$

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$w_c=w+x+x=10+2x$

4. Substitute values and simplify. Then:

$800=(30+2x)(10+2x)$

$800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0$

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3 years ago

A circle k(O) with radius 4.5 cm is given. Through point A (OA=9 cm) draw two tangents to the circle. What is the measure of the

nadezda [96]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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