If BC = 7 and CD = 24, find AC.

Mathematics

1 answer:

vodomira [7]3 years ago

3 0

Answer:

2√42 ≈ 12.961

Step-by-step explanation:

All of the right triangles are similar, so ...

short leg/long leg = BC/AC = AC/CD

AC² = BC·CD = 7·24 = 168

AC = √168 = 2√42

You might be interested in

What is the value of x?

WINSTONCH [101]

Answer:

$\large\boxed{x=8\sqrt2}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2$

$\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2$

5 0

3 years ago

A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."

SVEN [57.7K]

"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.

8 0

3 years ago

Please help the game hates me

kiruha [24]

Answer:

negative

Step-by-step explanation:

a positive divided by a negative is a negative

8 0

3 years ago

Express 0.32 as a fraction

jok3333 [9.3K]