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3 years ago

Triangle ABC is similar to triangle DEF. what is the length of AC?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

It would be 3 1/3 because you multiply the side lengths of the first triangle to get the second. Hope this helps:)

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90 POINTSSSSSSS:

denis23 [38]

Answer:

Part A: 12 plus x, the x being how much money he made on Sunday.

Part B: 2 plus x times 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find x Thanks for the help in advance!

Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

$AH=2,\quad HB=6,\quad AC=x$

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

$\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}$

If we solve the first two equations for y squared, we have

$y^2=x^2-4\\y^2=z^2-36$

And we can deduce

$z^2 = x^2+32$

So that the third equation becomes

$x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4$

(we can't accept the negative root because negative lengths make no sense)

7 0

3 years ago

Determine if the equations are parallel, perpendicular, or neither.

Aloiza [94]

To easily find the slope from standard form (Ax + By = C) use -A/B

1. m = -5/3
2. m = -3/5

perpendicular slopes are negative reciprocals, which these are not

parallel slopes are exactly the same, which these are also not

so, these equations are neither parallel nor perpendicular

4 0

3 years ago

12/4-3+8 answer for this

amid [387]

I hope I help you out

7 0

3 years ago

What is the product of (x 5)(x-7)

ipn [44]

(x + 5)(x - 7) = x^2 - 7x + 5x - 35 = x^2 - 2x - 35

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3 years ago