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sveta [45]
1 year ago
5

Figure ABCD is transformed to obtain figure A′B′C′D′:

Mathematics
1 answer:
xz_007 [3.2K]1 year ago
3 0

Answer:

<u>Part A</u>

  1. Reflect over the y-axis:  (x, y) → (-x, y)
    A (-4, 4) → (4, 4)
    B (-2, 2) → (2, 2)
    C (-2, -1) → (2, -1)
    D (-4, 1) → (4, 1)
  2. Shift 4 units down:  (x, y-4)
    (4, 4-4) → A' (4, 0)
    (2, 2-4) → B' (2, -2)
    (2, -1-4) → C' (2, -5)
    (4, 1-4) → D' (4, -3)

<u>Part B</u>

Two figures are <u>congruent</u> if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

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A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open
Zepler [3.9K]

Answer:

4t/15

Step-by-step explanation:

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4 0
2 years ago
Evaluate 2/3x for x = 3/4. Please show your work.<br> Thank you!!! :)
GenaCL600 [577]
X = 3/4
So substitute x for 3/4 in <span> 2/3x
(3/4) x (2/3)

Now solve
</span>(3/4) x (2/3) = 1/2 or 0.5

5 0
2 years ago
If an apple pie recipe calls for 3 pounds of candy apples then how many cups of canned apples required
lesya692 [45]

Answer:

Seven cups of canned apples are required to make apple pie recipe

Step-by-step explanation:

The weight of one canned apple is 0.45 pounds

Weight of total canned apple required to make the apple pie recipe is 3 pounds.

Total number of cups of canned apples required

= \frac{3}{0.45} \\= \frac{300}{45} \\= \frac{20}{3} \\

So approximately seven cups of canned apples are required to make apple pie recipe

5 0
2 years ago
D=a/a+12*M. The adult weighs 75 kg. Calculate the adults weight in kilograms to pounds. Round final answer 2 decimal places
andrew-mc [135]

An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

<h3>How to convert kilograms to pounds</h3>

Herein we have an application of <em>unit</em> conversions between <em>weight</em> units, from kilograms to pounds. Unit conversions follow this <em>direct proportional</em> formula:

y = k · x

Where:

x - Weight in kilograms

y - Weight in pounds

k - Conversion ratio

If we know that x = 75 kg and k = 2.208 lb/kg, then the weight of the adult in pounds is:

y = (2.208 lb/kg) · (75 kg)

y = 165.6 lb

An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

To learn more on weight units: brainly.com/question/18762697

#SPJ1

5 0
1 year ago
How old am I if 300 reduced by 3 times my age is 102
Lilit [14]

Answer:

x = age

200 - 3x = 47, solve for x

x =51

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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