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3 years ago

What is scale factor of the two triangles ?

Mathematics

2 answers:

Arada [10]3 years ago

6 0

Answer:

GKN is 3/4 of AHL

Step-by-step explanation:

Compare the similar sides. 3:4. 6:8. 15:20. All of them are equivalent to 3/4

GenaCL600 [577]3 years ago

4 0

Answer:

A. 3/4

Step-by-step explanation:

We have to find which sides correspond to which other ones'.

The sides in order of increasing in triangle 1: NK, GK, GN

The sides in order of increasing in triangle 2: AH, HL, AL

AH~NK 4 ~ 3

HL~GK 8 ~ 6

AL~GN 15 ~ 20

When we put them into a fraction and simplify that should be our answer.

$\frac{3}{4}$ = $\frac{6}{8}$ = $\frac{15}{20}$

The simplest fraction is 3/4 so that is our answer.

If you want to make ΔAHL = ΔNKG you have to multiply each of the sides by 3/4. But if you want to make ΔNKG = ΔAHL multiply each side of ΔNKG by 4/3.

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Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example l

solong [7]

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

$\theta = 20$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(20) = \frac{87}{a}$

Multiply both sides by a

$tan(20) \times a = \frac{87}{a} \times a$

$tan(20) \times a = 87$

Divide both sides by tan(20)

$\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}$

$a = \frac{87}{tan(20)}$

$a = 239.03$

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

$\theta = 57$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(57) = \frac{87}{b}$

Multiply both sides by b

$tan(57) \times b = \frac{87}{b} \times b$

$tan(57) \times b = 87$

Divide both sides by tan(57)

$\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}$

$b = \frac{87}{tan(57)}$

$b = 56.50$

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

4 0

3 years ago

Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3

vladimir1956 [14]

Answer:

0.00045 $m^{3}$

Step-by-step explanation:

450 $cm^{3}$ ⇒ $m^{3}$

1 $cm^{3}$ = 0.000001 $m^{3}$

= 450 $cm^{3}$ = 450 × 0.000001 = 0.00045 $m^{3}$

7 0

3 years ago

Read 2 more answers

A line is perpendicular to y = 3x - 8 and

postnew [5]

Answer:

D. 1

Step-by-step explanation:

Hope it helps you in your learning process.

7 0

2 years ago

Find the difference between 1/6 and 1/2

andrew11 [14]

Answer:

1/3 OR -1/3

Step-by-step explanation:

1/2 - 1/6 = ?

3/6 - 1/6 = 2/6

2/6 = 1/3

1/6 -1/2 =?

1/6 - 3/6 = -2/6

-2/6 = -1/3

5 0

3 years ago

Realtor makes 3% commission. What is the commission on a $200,000 house?

VMariaS [17]

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3 0

4 years ago

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