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3 years ago

Parallelogram WXYZ and parallelogram W" X" Y" Z" are congruent.

1 answer:

3 0

Reflections, rotations, and translations all change the location, but not the size or shape of the parallelogram. Congruence describes the line lengths and angle sizes - all of which will be maintained. Thus, reflections, rotations, and translations will maintain congruence.

All of the options use only reflection, rotation, and translation, so all of these could be the transformation in question.

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A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago

What was your speed if you drove 325 miles in 5 1/4 hours?

liraira [26]

Answer:

61.9047619048

Step-by-step explanation:

325/5.25= 61.9047619048

4 0

3 years ago

Read 2 more answers

What is the rule? 87, 81, 75, 69, 63

shepuryov [24]

The answer is -6 if u suntract the numbers you can see.

8 0

3 years ago

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Solve by extracting roots. Round your answers to two decimal places.

Colt1911 [192]

2.8a^2=55
a^2=55/2.8
a= square root of 55/2.8

7 0

3 years ago

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Abigail is 8 years older than Cynthia.Twenty years ago Abigail was three times as old as Cynthia.How old is each now?

xz_007 [3.2K]

Let
C=Cynthia's age today
A=Abigail's age today

then
at all times
A=C+8......................(1)
twenty years ago,
A-20=3(C-20)
simplifying
A=3C-40...................(2)

Equate (1) and (2),
C+8=3C-40
8+40=3C-C
C=24
=>
A=32

Check: A-C=8... ok A-20=12 C-20=4 => (A-20)=3(C-20) ...ok

Answer:
Abigail is 32, Cynthia is 24.

3 0

3 years ago

Read 2 more answers