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ella [17]
3 years ago
5

How do I solve for x since the triangles are similar?

Mathematics
1 answer:
Llana [10]3 years ago
3 0
A line that is parallel to a side and intersects the other two siddes divides the sides proportionally.

Set up the proportion
2/x+1 = x/x+6
Multiply means and extremes
2x+12= x^2+ x
Solve to get your answer.
You might be interested in
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and
Setler [38]

Answer:

No, I do not agree with them. Both are wrong.

Step-by-step explanation:

For a shape or figure to be considered a scaled copy of another, the length of all the segments of scaled copy must be equal to the length of all corresponding segments of the original figure multiplied by the same scale factor.

By examining the scaled copies B, C, and D, we would conclude that only D can be referred to as a scaled copy of D, because all the segments are exactly twice the corresponding segments of A. C and B do not have all its segment scaled in the same proportion.

Therefore, we cannot agree with Priya, nor Tyler. They are both wrong.

7 0
3 years ago
Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? G
son4ous [18]

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

4 0
3 years ago
Please hurry i don't have much time left!
quester [9]

Answer:

Check below

Step-by-step explanation:

That's too bad you haven't attached a rectangle.

Here's an example, with the data you've typed in.

1) When we dilate a rectangle we either grows it or shrink it through a scale factor.

Check the first picture below.

The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the <u>Center of Dilation is at its origin(Middle):</u>

D_{A'B'C'D'}=\frac{1}{2}(x,y)

2) But In this question, <u>B is the center of Dilation</u>. So, Since B is the Dilation Point B=B' .  And More importantly:

\bar{AB}=\frac{1}{2}\bar{A'B'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\\bar{AC}=\frac{1}{2}\bar{A'C'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\

3) So check the pictures below for a better understanding.

6 0
3 years ago
Read 2 more answers
Which method do you prefer to use to find sums- count by tens and ones, use compatible numbers, or use friendly numbers and adju
elena-s [515]
Count by tens and ones.
5 0
2 years ago
The___ of an angle is the ratio of the opposite leg length to the hypotenuse length.
ozzi
The answer would be sine
7 0
2 years ago
Read 2 more answers
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