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Nataly_w [17]
3 years ago
12

If ABC ~ DEF, What is the scale factor of ABC to DEF?

Mathematics
2 answers:
Murljashka [212]3 years ago
3 0

Answer:

3/1

Step-by-step explanation:

Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.

The only angle of triangle DEF we have is ∠E, which is 7.  This corresponds with ∠B; this makes the scale factor of ABC to DEF

21/7 = 3/1.

bulgar [2K]3 years ago
3 0

Answer: Corresponding angles will be 6 and 8 respectively.

Step-by-step explanation:

Since we have given that

ΔABC ~ Δ DEF

If ΔABC, has angles of 18, 21 and 24.

If ΔDEF, has angles of ?,7,?.

\frac{18}{x}=\frac{21}{7}\\\\\frac{18}{x}=3\\\\x=\frac{18}{3}=6

similarly,

\frac{21}{7}=\frac{24}{y}\\\\3=\frac{24}{y}\\\\y=\frac{24}{3}\\\\y=8

Hence, corresponding angles will be 6 and 8 respectively.

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Arte these examples of commutative, Associative or Distributive property?I
valentinak56 [21]

Answer:

both these equations are the examples of associative property.

#1 is the example of associative property with respect to multiplication.

#2 is the example of associative property with respect to addition.

8 0
3 years ago
At the end of the sale, 22 crossbody purses were sold at $15 each, 34 wristlets priced at $12 were sold, 96 satchels marked at $
Brrunno [24]

Answer:

Average: 26.223529411764706 (Please round to the place value necessary since it does not say in the question.)

Step-by-step explanation:

We first find the number of items sold: 170

Then we find the total cost: 4458

We then divide 4458 by 170

We end up with the answer 26.223529411764706. (Please round to the place value necessary since it does not say in the question.)

5 0
2 years ago
A right triangle is displayed.
Mazyrski [523]

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

5 0
2 years ago
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
The first hill on a roller coaster is 155 feet tall. The first drop on a second roller coaster is about 11/20 as tall as the fir
Murljashka [212]

Answer:

85.25

Step-by-step explanation:

155 x (11/20) =85.25 feet

8 0
3 years ago
Read 2 more answers
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