Question

What are the values of x and y?

A. x equals 9 over 4 and y equals 3 over 4
B. x equals 9 over 4 and y equals 15 over 4
C. x equals 15 over 4 and y equals 5 over 4
D. x equals 3 over 4 and y equals 15 over 4

Answer 1

Here is the ss of the problem

Answer 2

Lemme see

Answer 3

@AZ

Answer 4

question is too hard for my brain to comprehend XD

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @ah42632
question is too hard for my brain to comprehend XD
\(\color{#0cbb34}{\text{End of Quote}}\)
That’s y i called @AZ

Answer 6

So when we have two right triangles like this

there's this formula

so for the triangle I'm attaching

\(\sf \dfrac{BC}{AC} = \dfrac{AC}{DC}\)

and

\(\sf \dfrac{BC}{AB} = \dfrac{AB}{DB}\)

and

\(\sf \dfrac{DC}{AD} = \dfrac{AD}{DB}\)

Answer 7

so for your triangle, let's first find 'x'

and then we can just use the Pythagorean theorem to find y

Answer 8

so basically if we set it up, we get

\(\dfrac{4}{3} = \dfrac{3}{x}\)

can you cross multiply and solve for x?

Answer 9

4x and 9?

Answer 10

or 12 and 3x?

Answer 11

you got it
\(\dfrac{a}{b} = \dfrac{c}{d}\)

would be

ad = bc

so 4x = 9

what is x = ??

Answer 12

just divide 4 on both sides

Answer 13

2.25

Answer 14

yup!

Answer 15

now the entire length of AC is 4 + 2.25

which equals what?

Answer 16

6.25

Answer 17

and then since it's a big right triangle

(AB)^2 + y^2 = AC^2

and AB is 5
and AC is 4 + 2.25 which is 6.25 like you said


and so plug it in and solve for y

Answer 18

5^2 + y^2 = 6.25^2

y = ?

Answer 19

those numbers are to the second power right?

Answer 20

yes

and I really have to run now so @snowflake0531 will take over :)

Answer 21

ok

Answer 22

Mhm, I'm going to take this a different way lol
Proportions
\[y/3 = 5/4\]
Cross multiply

Answer 23

4y and 15

Answer 24

Yep~
4y=15
Solve for y
y=....

Answer 25

*keep it as a fraction

Answer 26

Divide both sides by 4

Answer 27

3 over 80?

Answer 28

4y=15
Divide each side by 4

Answer 29

3.75 and then as fraction I got 3/80

Answer 30

Division=fraction
15 divided by 4 = 15/4
So, y is 15/4
And we already know that x is 9/4

So, which one is the correct answer

Answer 31

they both are arent they? theyre both for different variables

Answer 32

`So, y is 15/4
And we already know that x is 9/4`

Answer 33

x equals 9 over 4... y equals 15 over 4

Answer 34

ohhhhhhh... I didnt read it correctly. My bad

Answer 35

so you got the answer?

Answer 36

yep

Answer 37

kay

Answer 38

thanks

Answer 39

yw~
altho also thank AZ xd

Answer 40

yessir @AZ thanks