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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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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

The correct question is

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

Find the value of x

$x=\frac{24}{2} +6=18$

therefore

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