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cluponka [151]
3 years ago
6

Which series of transformations would transform triangle A into similar triangle A' in Quadrant IV? A. Rotate triangle A 90 cloc

kwise about the origin then translate five units up B. Dilate triangle A by a scale factor of 4. Translate triangle A to the left. C. Reflect triangle A across the y-axis and then translate the triangle 3 units up and 2 units to the right. D. Reflect triangle A across the x-axis and then reflect the triangle across the y-axis.

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

<u>option D</u>

Step-by-step explanation:

It is required to transform triangle A into similar triangle A' in Quadrant IV.

The given triangle in Quadrant II.

We will check the options:

A. Rotate triangle A 90 clockwise about the origin then translate five units up.

Wrong because  triangle A' will be at Quadrant I.

B. Dilate triangle A by a scale factor of 4. Translate triangle A to the left.

Wrong because  triangle A' will be at Quadrant II.

C. Reflect triangle A across the y-axis and then translate the triangle 3 units up and 2 units to the right.

Wrong because  triangle A' will be at Quadrant I.

D. Reflect triangle A across the x-axis and then reflect the triangle across the y-axis.

True Because reflection triangle A across the x-axis, the first image will be at  Quadrant III, then reflection the first image across the y-axis, we will get triangle A' will be at Quadrant IV.

<u>So, the answer is option D</u>

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28 yards

Step-by-step explanation:

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3 years ago
Hector puts together two tables to make a long table for a class picnic.
lys-0071 [83]

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

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Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

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7 0
2 years ago
5p - 14 = 8 p + 4 No solution, Infinitely many solutions, 6 ,-6​
DedPeter [7]

Answer:

-6

Step-by-step explanation:

5p - 14 = 8p + 4

Subtract 8p from both sides.

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5 0
3 years ago
Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amou
katen-ka-za [31]

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

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First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

6 0
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