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erik [133]
2 years ago
10

ABC has vertices of A(0, 0), B(–4, 0), and C(–2, 4). The coordinates of each vertex are multiplied by 3 to create AEF. Determine

if ABC is similar to AEF. Explain your answer.
A. No, they are not similar because the corresponding angles are not congruent.
B. No, they are not similar because the corresponding sides are not proportional.
C. Yes, they are similar with a scale factor of 1:3.
D. Yes, they are similar with a scale factor of 0:3.
Mathematics
2 answers:
Andrej [43]2 years ago
7 0

Answer:

Option C is right

Step-by-step explanation:

Given that ABC has vertices of A(0, 0), B(–4, 0), and C(–2, 4).

When coordinates are multiplied by 3, to create AEF, we get new coordinates as

A(0,0) B(-12,0) and C(-6,12)

Comparing the sides we have

AB = 4 and A'B' =12\\AC=\sqrt (4+16) = 2\sqrt 5\\A'C' =\sqrt (36+144) = 6\sqrt 5

BC= \sqrt (4+16) = 2\sqrt 5\\B'C' =\sqrt(36+144) = 6\sqrt 5

Thus we find that Sides of ABC are proportional to A'B'C'

Hence they are similar with scale factor of 3

Option C is right.

o-na [289]2 years ago
6 0
That statement that determine if ABC is similar to AEF and base on the data and the vertices in the given problem. The statement that best describe the two triangle is letter C. Yes, they are similar with a scale factor of 1:30. I hope you are satisfied with my answer. 
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If f(x) = 5x + 40, what is f(x) when x = -5?
Makovka662 [10]

Answer:

f(-5) = 15

Step-by-step explanation:

f(x)=5x+40

plug in x as -5

f(-5) = 5(-5) + 40

multiply 5 by -5

-25+40

add -25 to 40

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3 years ago
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Zigmanuir [339]
Alr bet x + 8 y - 9 :)
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2 years ago
Please explain every step
pogonyaev
<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}

<u>Identify the following's</u>:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

===========================

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

8 0
2 years ago
The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Tria
zavuch27 [327]

Answer:

  (c)  Triangle Z Y X is similar to triangle C B A

Step-by-step explanation:

Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.

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<h3>corresponding sides</h3>

The side lengths, smallest to largest, for the two triangles are ...

  • 3 cm -- ZY
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  • 7 cm -- XZ

And for the other triangle, ...

  • 6 cm -- BC
  • 12 cm -- AB
  • 14 cm -- AC
<h3>corresponding vertices</h3>

The points joining the each side to the next one longer, in order for the two triangles, are ...

  Y, X, Z  and  B, A, C

The vertices corresponding to ZYX in the same order are CBA.

  triangle ZYX is similar to triangle CBA

3 0
2 years ago
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In the collection of beads, StartFraction 4 Over 20 EndFraction are blue. Which model shows the percent of beads that are blue?
jolli1 [7]

Option B model shows the percent of beads that are blue.

Solution:

Fraction of beads blue = \frac{4}{20}

To convert it into percent multiply the fraction by 100.

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Cancel the common factors, we get

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This means total number of boxes 100 and shaded in blue color 20.

Therefore option 2 represents \frac{20}{100}.

Hence option B model shows the percent of beads that are blue.

8 0
3 years ago
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