4. FGH - MNP. Solve for x.

4. FGH - MNP. Solve For X.

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values

[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6


Related Questions

the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year​

Answers

Answer:

The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan

Step-by-step explanation:

In the given figure, PQ 11 RS, find the value of x. ​

Answers

Answer:

73 degrees

Step-by-step explanation:

Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.

So, now just subtract 50 from 123 to get x.

Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12

Answers

Answer:

x= 4, y= 1

Step-by-step explanation:

5x +3y= 23 -----(1)

2x +4y= 12

Divide both sides by 2:

x +2y= 6 -----(2)

(2) ×5:

5x +10y= 30 -----(3)

(3) -(1):

5x +10y -(5x +3y)= 30 -23

Expand, simplify:

5x +10y -5x -3y= 7

Divide both sides by 7:

7y= 7

y= 7 ÷7

y= 1

Substitute y= 1 into (2):

x +2(1)= 6

x +2= 6

x= 6 -2

x= 4

6973x63 pls explain how u did it!

Answers

Answer:

4,39299

Step-by-step explanation:

I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.

What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!

Answers

the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. The reason is the tilt of Earth's axis of rotation with respect to the orbital plane.. l hope it helped :)

Answer:

At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.

Step-by-step explanation:

I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?

Answers

Answer:

answer is the number 5

Step-by-step explanation:

First you square root 9 which is 3. Then u  3-1=  2.   then u times 2 by 6 which equals = 12. Then minus 7 from this number.    12-7=5            ur number is 5.

Need help will give five starst and a thanks and MAYBE just MAYBE a brainleist.

Explain how to use the GCF and the distributive property to rewrite and solve subtraction problems.

Answers

Answer:

here u go

Step-by-step explanation:

As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:

3 traditional country songs

6 traditional rock songs

4 hip-hop rap songs

5 contemporary country songs'

1 Latin rap song

3 traditional pop songs

What is the probability that the player will select some rap music next?

Answers

Answer:

the probability will be 18.18%

18.18 maybe






aaaaaaaaaaaaaaaaaaaaa

What is 3, 4, 5, 6, and 7.

Answers

3-reflexive
4- angle addition postulate
5-?
6-?
7-

A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag.

Answers

Answer:

9

Step-by-step explanation:

→ Divide the number of red marbles by the ratio of red marbles

12 ÷ 4 = 3

→ Multiply 3 by the ratio of 3

9

Morgan is buying packages of hotdogs and hamburgers. She is spending a total of $25. Hamburgers cost $9 and hotdogs cost $2. She bought a total of 9 packages.

Morgan wrote the following system of equation to model the scenario:






What does the variable "y" represent?

Answers

Step-by-step explanation:

I don't see the equations.

but I can build some myself :

x = number of hamburger packages

y = number of hotdogs packages

x + y = 9

9x + 2y = 25

the first equation tells us after moving y to the right side

x = -y + 9

and that we are using now in the second equation :

9(-y + 9) + 2y = 25

-9y + 81 + 2y = 25

-7y = -56

y = 8

x = -y + 9 = -8 + 9 = 1

The sum of two consecutive even integers is 122. What are the two numbers?

Answers

Answer:

Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph

Answers

Answer:

inequality is:12 ≤ x ≤ 15

Step-by-step explanation:

Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?​

Answers

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

Solve the simultaneous equation


3x-4y=11
9x+2y=5

Answers

Answer:

I assume you are looking for the x and y values of the two equations? if not message me!

y=–2

x=1

Step-by-step explanation:

Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28

We can now divide both sides by 14 to get y by itself so we are left with: y=–2

plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1

To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)

Answer:

Below in bold.

Step-by-step explanation:

3x-4y=11

9x+2y=5

Multiply the first equation by 3:

9x - 12y = 33

Subtract the above from the second equation:

2y - (-12y) = 5 - 33

14y = -28

y = -2.

Now plug y = -2into the first equation:

3x - 4(-2) = 11

3x = 11 - 8 = 3

x= 1.

Pls help WILL MARK BRAINLY also 34 POINTS

Answers

Answer:

X is 38, y is 27.

Step-by-step explanation:

This is because you are subtracting on the 90 degree angles.

Answer:

The answer is 27 degrees for x, and 38 degrees for y.

Step-by-step explanation:

There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.

evaluate 10-(5-(4-(8-2))​

Answers

=》The answer is 3.

Steps are in the attachment.

______

Hope it helps :)) ⚜

Answer:

The answer is 3

Step-by-step explanation:

By using PEMDAS, calculate the parenthesis first.

10-(5-(4-(8-2))

10-(5-(4-6)

10-(5-(-2)

10-7

= 3

jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour

Answers

Answer:

3:5

Step-by-step explanation:

ratio!

Question and answer choices are in the SS attached!!!! Pls help me! ty!

Answers

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

pls help…. quickkkkkkkkkkk

Answers

Answer: b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The shading is above the line, so it must be ≥ or >.

The line is solid, so it must be ≥.

The only choice with ≥ is the answer.

Answer: B.

Solve each proportion.
5/n=6/12

Answers

Answer:

5/n=6/12n = 6/12×5n = 6/60n =1/ 10n = 1:10

would this be A? Im not too sure about this.

Answers

Answer:

You're correct

Step-by-step explanation:

Basically, just add the answers with the given 67° until you get 180°

Yup it would be A :)

if a ll b and line c is perpendicular to line a then line b and c are?​

Answers

Answer:

perpendicular

Step-by-step explanation:

Answer:

Perpendicular

What is dehydration reaction ?

Answers

Answer:

In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.

Answer:

In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.

Step-by-step explanation:

The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is 1/4
of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D.
Part B: Simplify the expression and explain why the answer is negative or positive.

Answers

Answer:

6 ft.

Step-by-step explanation:

If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24  so the expression would be 1/4 x 24

im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.

hope this helps :)

Answer:

  A. 1/4×24 ft

  B. 6 ft, the product has no negative factors that would make it negative.

Step-by-step explanation:

A.

1/4 of the elevation of city C can be written as ...

  (1/4)(24 ft)

__

B.

When the expression is simplified, it becomes ...

  6 ft

The product of two positive numbers is positive.

When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.

Answers

From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.

Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.

Therefore, the length of the candles at 11:00PM will be:

= 8 - (3/4 × 6)

= 8 - 4.5

= 3.5

In conclusion, the correct option is 3.5 inches tall.

Read related link on:

https://brainly.com/question/25711376

Answer: 3.5

just did it

Step-by-step explanation:

Simplify the expression 4x^3x2x^3

Answers

8x^4 is the answer
(4×2)x^2x^2
8x^2x^2
8x^2+2= 8x^4


If f(x) =6(9)^x then f(1/2)=?

Answers

Answer: f(1/2) = 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

In order to find f(1/2), we want to substitute 1/2 for x in our equation.

[tex]f(\frac{1}{2}) = 6(9)^{\frac{1}{2} }[/tex]

Then we can solve.

[tex]9^\frac{1}{2}[/tex] = 3, which means our equation is now:

[tex]f(\frac{1}{2}) = 6(3)[/tex]

6 * 3 = 18, so now we have:

[tex]f(\frac{1}{2}) = 18[/tex]

A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 ​ inches?

Answers

Answer:

9.5 hours

Step-by-step explanation:

What is another word for the input values in a proportional table.

a) y-values


b) output values


c) plug in value


d) x-values

Answers

D because the input value is also Known as the X value
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