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Alex787 [66]
3 years ago
7

If A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 4:5. If A is at (-3, 7) and B is at (1, -5), wh

ere are the coordinates for point C?
Mathematics
1 answer:
Levart [38]3 years ago
5 0

Answer:

the coordinates for c is 5, -17

Step-by-step explanation:

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What is the similarity ratio of ΔABC to ΔDEF?<br> Tri ABC: AC=4 CB=5<br> Tri DEF: DF= 2
alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given  ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ \frac{AC}{DF} =\frac{BC}{EF}

⇒ \frac{4}{2} =\frac{5}{EF}

⇒ 4EF=5\times2

⇒ EF=\frac{5\times 2}{4}

⇒ EF=\frac{5}{2}

Ratio of ΔABC to ΔDEF = \frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}

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Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

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