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2 years ago

12

What is the similarity ratio of PQR to VXM?

1 answer:

Nastasia [14]2 years ago

4 0

Answer:

3

Step-by-step explanation:

The correct answer is:

3

Explanation

review

△WXY~△GEF.

6

3

6

Y

X

W

2

1

2

F

E

G

What is the similarity ratio of △WXY to △GEF?

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.

solve

Look at the triangles.

6

3

6

Y

X

W

2

1

2

F

E

G

The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is

WX

EG

=

3

1

=3.

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25

BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

or

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

3 0

1 year ago

A farmer has two types of milk, one that is 24% butterfat and another which is 18% butterfat. How much of each should he use to

iVinArrow [24]

Answer:

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Step-by-step explanation:

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2 years ago

Jessie is 6 years older than Todd, and Todd is 2 years younger than Ryan. If Ryan is r years old, which expression shows how old

motikmotik

Ccccccccccccccccccccccccccchhhhhhhhhhhhhhhiiiiiiiiiiiiiiilk

8 0

3 years ago

Read 2 more answers

Bertie Bee's Carpet Cleaners charge $1.22 per square foot to clean carpets. Millie Mott's Carpet Cleaners charge $9.50 per squar

Crank

Answer:

Bertie Bee's Carpet Cleaners

6 0

2 years ago

Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.

shtirl [24]

Answer:

$3y-2x=16+12i$

$-3x \cdot y=6+48i$

$x \cdot 2y=-4-32i$

$x-y=-6-5i$

Step-by-step explanation:

Given:

$x=-2-3i$

$y=4+2i$

---

1st problem:

$3y-2x$

$3(4+2i)-2(-2-3i)$

Distribute:

$12+6i+4+6i$

Combine like terms:

$16+12i$

---

2nd problem:

$-3x \cdot y$

$-3(-2-3i) cdot (4+2i)$

$-3(-2-3i)(4+2i)$

Distribute -3 to first factor:

$(6+9i)(4+2i)$

Use foil to simplify:

$24+12i+36i+18i^2$

Replace $i^2$ with -1:

$24+48i-18$

Combine like terms:

$6+48i$

---

3rd problem:

$x \cdot 2y$

$(-2-3i) \cdot 2(4+2i)$

Distribute 2 to the second factor:

$(-2-3i) \cdot (8+4i)$

$(-2-3i)(8+4i)$

Use foil to simplify:

$-16-8i-24i-12i^2$

Replace $i^2$ with -1:

$-16-32i+12$

Combine like terms:

$-4-32i$

----

4th problem:

$(-2-3i)-(4+2i)$

Distribute:

$-2-3i-4-2i$

Combine like terms:

$-2-4-3i-2i$

Simplify:

$-6-5i$

6 0

2 years ago

Read 2 more answers