What's the answer???

Quadrilaterals ABCD and PQRS shown below are two similar figures.<br>Find the values of x and y.

nadezda [96]

Answer:

x = 12, y = 16

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{AD}{PS}$ = $\frac{DC}{SR}$ , substitute values

$\frac{20}{2x+6}$ = $\frac{18}{27}$ ( cross- multiply )

18(2x + 6) = 540 ( divide both sides by 18 )

2x + 6 = 30 ( subtract 6 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

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and

$\frac{AB}{PQ}$ = $\frac{DC}{SR}$ , substitute values

$\frac{y}{24}$ = $\frac{18}{27}$ ( cross- multiply )

27y = 432 ( divide both sides by 27 )

y = 16

3 0

3 years ago

Help please help me idk the answer

Firdavs [7]

Answer: 1 3/10a+19

Step-by-step explanation:

Ok so first you have to open the parenthesis. Since the sign to the left of both the parenthesis is positive we can just normally open the parenthesis .

We get: 1/2a+12+4/5a+7

We need to convert the denominators of 1/2a and 4/5a so we can add them together

1/2a=5/10a

4/5a=8/10a

Now we can add the a variables together.

5/10a+12+8/10a+7=

13/10a+12+7

Then add 12 and 7 together:

13/10a+19 = 1 3/10a+19

Keep in mind: If the sign to the left of the leftmost parenthesis is negative then the sign inside the parenthesis is negative.

For example when opening this parenthesis: (2+3/x<u>)-(2+3x)</u> the sign is negative so the opening parenthesis is -2-3x.

4 0

3 years ago

I'm giving away some points

andreyandreev [35.5K]

Answer:

First off, I would like to thank my mother for birthing me, and giving me the chance to grow and seize this opportunity.

I also want to thank the lady in the hair store who told me I could do anything I set my mind to when I was buying my wig.

And of course, I must thank despicable me 1,2, and 3 for teaching me everything i know.

I really appreciate this. Honestly, this really warmed my heart to be able accept this award from you today.

3 0

3 years ago

If -3(x + 6) = x - 2, then x = -4.

Anon25 [30]

3(x + 6) = x - 2

3(-4+6)= -4-2

mutiply the bracket by 3

(3)(-4)= -12

(3)(6)= 18

-12+18= -4-2

6= -4-2

6= -6

Answer:

No solution

4 0

3 years ago

Rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of

Zepler [3.9K]

The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.

<h3>What is Pythagoras' Theorem?</h3>

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.

Her friend Ronan's house is due north of her house.

After showing him the new scooter she went to the library which is due west from rocks house.

while returning back she drove 17km diagonally to her house.

By Pythagoras' theorem

|AC|^2 = |AB|^2 + |BC|^2

Here we can assume that

AB = The distance between rhea and her friend's house.

BC = The distance of the library from rocks house.

The triplet of the 17 would be (8, 15, 17)

So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.

Learn more about Pythagoras' theorem here:

brainly.com/question/12105522

#SPJ1

7 0

2 years ago