All categories

3 years ago

△ABC∼△A′B′C′ Solve for x and y.

Mathematics

1 answer:

pickupchik [31]3 years ago

7 0

Answer:

Step-by-step explanation:

5/15=y/21

y=7

6/x=5/15

x=18

You might be interested in

Which equation has x = -i and x = = 21v3 as two of its solutions?

Drupady [299]

Answer:

The equation in option A is correct.

Step-by-step explanation:

Given the equation

$\:y=x^4+13x^2+12$

Let us find the solution by setting y=0

$x^4+13x^2+12=0\:\:\:\:\:$

$\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4$

$u^2+13u+12=0$

if $ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$u+1=0\quad \mathrm{or}\quad \:u+12=0$

$u=-1,\:u=-12$

$\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x$

$x^2=-1,\:x^2=-12$

solving

$x^2=-1$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{-1},\:x=-\sqrt{-1}$

$x=i,\:x=-i$ ∵ $\:\sqrt{-1}=i$

solving

$x^2=-12$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{-12},\:x=-\sqrt{-12}$

$x=2\sqrt{3}i,\:x=-2\sqrt{3}i$

Hence, the solutions are:

$x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i$

Therefore, the equation in option A is correct.

6 0

3 years ago

Angles 1 and 2 are complimentary angles.

podryga [215]

Answer:

38 degrees

Step-by-step explanation:

Well if the angles are complimentary, that means they add up to 90 degrees.

So just do

90 - 52

and you will get

38 degrees

6 0

4 years ago

Will mark as brainleist <br><br> Please help!

TiliK225 [7]

Answer:

y=10x-2

Step-by-step explanation:

-2 is the y-intercpt

4 0

3 years ago

Read 2 more answers

dale has a special deck of cards. each card has a different rational number on it. the cards are 0.25, 4/5, 2/9, 0.48 and 8/11.

Darina [25.2K]

Two cards have a value that is greater than 1/2, they are 8/11 and 4/5

3 0

3 years ago

Are these supplementary, complementary, or neither?

elixir [45]

Answer:

Neither, complementary

Step-by-step explanation:

1. 62 + 128 = 190 (Neither)

1. 44 + 46 = 90 (Complementary)

Adding up to 90 is complementary, adding up to 180 is supplementary

8 0

3 years ago