Mathematics Middle School

(Similar Triangles MC)

Triangle XYZ is similar to triangle JKL.

triangle XYZ with side XY labeled 8.7, side YZ labeled 7.8, and side ZX labeled 8.2 and triangle JKL with side JK labeled 10.44

Determine the length of side LJ.

8.79
9.36
9.84
10.13

Answers

Answer 1

Answer:

C) 9.84

Step-by-step explanation:

JK ~ XY

XY = 8.7

JK = 10.44

10.44/8.7 = 1.2

That’s the scale or dilation

LJ ~ ZX

ZX = 8.2

8.2 X 1.2 = 9.84

LJ = 9.84

Answer 2

The length of side LJ in the triangle JKL is 9.36.

We are given that triangle XYZ is similar to triangle JKL, which means that the corresponding sides are proportional.

We are also given the lengths of the sides of triangle XYZ, so we can use these lengths to find the corresponding sides of triangle JKL.

The ratio of the corresponding sides of triangle XYZ to triangle JKL is:

XY : JK = 8.7 : 10.44

YZ : KL = 7.8 : 9.36

ZX : LJ = 8.2 : x

Since the two triangles are similar, we know that the ratios of the corresponding sides are equal.

Therefore, we can set the two ratios equal to each other and solve for x, the length of side LJ:

8.7 / 10.44 = 7.8 / 9.36 = 8.2 / x

Cross-multiplying, we get:

8.7 * x = 10.44 * 7.8

x = (10.44 * 7.8) / 8.7

x = 9.36

Therefore, the length of side LJ is 9.36.

To learn more about length here:

https://brainly.com/question/32060888

#SPJ2

Related Questions

Answer the written question only : Explain the meaning of both values in the context of the situation.

Slope and Y-intercept and what they both mean!

Answers

Answer:

see below

Step-by-step explanation:

Slope: The slope is [tex]\frac{rise}{run}[/tex], and this means that depending on how many students are increased, then the total number of flags also increases.

Y-intercept: When x=0, when there are 0 students, how many flags are already made.

The slope is

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{44-8}{12-0}\\ =\frac{36}{12}\\ =3[/tex]

The y intercept is (0,8)

In this context, the slope represents that for every 3 students, 1 flag string is made.  The y-intercept represents that when no students had made their own flag string, 8 flag strings had already been pre-made.

To answer the very last question (even though you didn't ask for it), the equation would be:

y=3x+8

Hope this helps additionally! :)

Answer:

The y-int=8 and the slope=3

Step-by-step explanation:

y-int in this situation means that they start with 8 flags.

slope means that each time there are 3 more students then there is 1 more flag. (I think)

What goes into 8x and goes into 56?

Answers

Answer: 7Step-by-step explanation:8*7=56
X=7 cause 8x=56
X=56/8
X=7

9. The graph below represents Randy's drive to school. Which of the following is a correct conclusion based on the graph? Distance Time
questions in photo
A. Randy stopped twice on the way to school.
B. Randy drove uphill most of the drive.
C. Randy increased his speed the entire drive. D. Randy did not make any stops on the way to school.​

Answers

The correct answer is A

Answer:

The answer is A. Randy stopped twice on the way to school

Hope that helps!

Step-by-step explanation:

Solve the inequality m-3 ≥ -2

Answers

Answer:

m ≥ 1

Step-by-step explanation:

Step 1: Isolate the variable. (Add 3 to both sides.)

m - 3 + 3 = -2 + 3

m ≥ 1

Answer: m ≥ 1

Step-by-step explanation:

Set up the equation

Add three to both sides

-3 + 3 = 0

-2 + 3 = 1

m ≥ 1

To find an increase of 30% of price P, which expression should you use to find the final price?

A. .70p
B. .30p
C. 1.70p
D. 1.30p

Answers

The final price would be 1.3 times the original price P, or 1.3P. This corresponds to option D, 1.30P.

why the option D is correct

To find an increase of 30% of price P, you would need to use the expression:

D. 1.30P

This is because an increase of 30% means adding 30% of the original price P to P. Mathematically, this can be represented as:

P + 0.3P

Simplifying this expression, we get:

1.3P

Therefore, the final price would be 1.3 times the original price P, or 1.3P. This corresponds to option D, 1.30P.

Help meeeeeeeeseeeee fast

Answers

The lower is 1 median is 5 upper is 7

Answer:

lower quartile: 3

Median: 4

upper quartile: 6

Help can someone answer this for me?

Answers

Answer:

The outdoor carpet would be 36 square ft.

it's 36ft²

i hope this helps!

have a great rest of your day!      (^w^)

Helpnasapvpledssd help asap pls

Answers

Answer:

lower quartile = 3

media = 8

upper quartile = 9

Not sure ummm hmmmm I think it’s nvm

4. Which of the following situations does not have the same unit rate as the graph shown?

graph is in the photo


F. Asher buys gum for $0.20 a piece.


G. A daycare has six workers for every 30 children


H. Melanie reads 9 pages of her book every 45 minutes.


J. Richie earns $10 every 2 hours to pet sit for his neighbor.​

Answers

Answer: h

Step-by-step explanation: answer

Answer:

The answer is J: Richie earns $10 every 2 hours to pet sit for his neighbor

Step-by-step explanation:

I’m struggling with geometry

Answers

Answer:

201.5 m squared

Step-by-step explanation:

There is 2 triangular bases, and the area of a triangle is 1/2 of the base times the height Ex. 1/2 (bxh)

your length is 5 a your width is 4.3 So

5 x 4.3 = 21.5 divided by 1/2 = 10.75 x 2 because their is 2 triangular bases which brings you back to 21.5 m.

now for the slants.

The area of a rectangle is l x w

The length is 12 and your width is 5

12 x 5 = 60  60 x 3 because there is 3 rectangular sides

= 180 m.

add both sums add your surface area is

201.5 m2 squared

I believe this is the answer sorry if it's wrong

201.5m2
Hope that helps mate.

I forgot how to do this so can someone help me out with this question your generosity will be thanked

Answers

Answer: 62ft^2

Step-by-step explanation:

Area of rectangle - Area of triangle = Area of outdoor carpet

RECTANGLE = 72

TRIANGLE = 9

72 - 9 = 63

the answer is 9ft^2 your welcome

Someone help please i need this fast like asap

Answers

Answer:7ft2

Step-by-step explanation:   3 x 2 = 5       1 x 2 = 2       5 + 2 = 7

6. The graph below shows the distance of three runners compared to the time during a race. Which of the following is not a true statement based on the graph? A, B, C. Distance Time
questions in photo
F. Runner B gradually increased his speed.
G. Runner A started in 2nd place and finished 1st
H. Runner C ran the furthest distance.
J. Runner C gradually decreased his speed.​

Answers

Answer:

Its H. they all ran the same distance, so C didn't run the furthest, they just took the most time.

the answer is H because the other choices dont make sense because they all ran the same amount its just the speed they ran

Please help needed in 5 mins

Answers

Answer:

93.75 square feet

Step-by-step explanation:

[tex]((12.5+6.25)/2)*10[/tex]

so (18.75/2)*10

93.75 square feet

Is the relation a function? Explain.

No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.

Answers

Answer:

no, because for each input there is not exactly one output

Step-by-step explanation:

ordered pairs (-1,3) and (-1,-2) are are the same line

Answer:

No, because for each input, there is not exactly one output. The input of -1 corresponds to two outputs, -2 and 3, so this is not a function.

What fraction is equal to 24/36?

Answers

Answer: 2/3

Step-by-step explanation:

The GCD of 24 and 36 is 12.

So divide each number by 12

12/2=2

36/2=3

2/3

Answer:

2 / 3

Step-by-step explanation:

You can simplify 24/36 to 2/3. That would make 2/3 equal to 24/36!

If you have any question please ask me! :)

slope hw

(this is different)

thx!

Answers

Answer:

I don't know if i'm right but i think k=8.75. don't take my word for it though!

The slope would be 1/2

What is the value of p +(p-q)+q+(q-p)

Answers

i think You can do addition and subtraction in any order. So let's remove all the brackets.

p + (p-q) + q + (q-p) = p + p - q + q + q - p

Now let's rearrange these two:

p + p - q + q + q - p

= p - p + p - q + q + q

= 0 + p - q + q + q

We get p - q + q + q.

Now,

p - q + q +q

= p + 0 + q

= p + q

Therefore, answer: p + q.

Hope this helps. :)

Answer:

The answer is p + q.

Step-by-step explanation:

If you have any questions ask me please! :)

cld someone pls help me i need it asap wait mb its not math its science

Answers

Answer:

Step-by-step explanation:

6345634563456345

Put the atoms close to each other

FINALLY!!! THE LAST SLOPE PUZZLE! PUZZLE 5!!

Answers

Answer: I have no idea how to solve this

Step-by-step explanation: need more info

Answer:

I only know 3, sorry :')

Its -3

fill in the blanks.
Triangles are both__________and________.​

Answers

Answer:

two dimensional and polygonal

2 dimensional and polygon

fill in the blanks this is on simple probability if that helps

Answers

Answer:

[tex]\large \boxed{\mathrm{ion \ even \ know \ fr \ }}[/tex]

Can you give me brainlyist

halp meh p|z!!!!!

People said that both of these equal the same answer but I don't think that the answers can be repeated...
I'm not sure. Maybe they can.
But I just need to double check.

Answers

They don’t equal the same because a negative and a positive equal a negative but a negative and a negative equal a positive

Please help and show your work if you do I will make you the brainliest

Pls ASAP

Answers

Answer:

The answer is 288 inches!

Step-by-step explanation:

First you have to split the kite in multiple shapes. To be able to get the surface area of the top triangles, you have to do 32 - 20 to get the height, the answer would be 12. Then you can multiply the height times the width. (the width is 9) If you would do that you would get 108, but since it is a triangle you would need to divide that by 2. But, there is 2 triangles that have the same surface area so we will just keep it at 108. Now we have to get the surface area of the shapes at the bottom of the kite. It shows the width of both of the triangles but we will divide that by 2 to get the width of one, once doing that you will have a width of 6. You need to multiply the width times the height. (the height is 20) Doing that you will get 180, but since it is a triangle you need to divide that by 2. There is 2 triangles so we will just keep it at 180. So now we have to add the 2 groups of triangles together. The lower triangles have a surface area of 180 and the upper triangles have a surface area of 108. Adding those together will get our total surface area of 288 inches!

Also, if I helped you please mark me as a brainliest! :)

The answer is 288 inches!!

i need some help with a math question what is the radius of a circle if the circumference is 6

Answers

Answer:

0.95493

Step-by-step explanation:

I think this is the answer you are looking for?

If you have any questions just ask me :)

Answer:0.95493Step-by-step explanation:the person above me is correct

Rewrite each equation without absolute value for the given conditions: [tex]y=|x-5|+|x+5|[/tex] if x<-5

Answers

Answer:

y = 10, if  x < -5

Step-by-step explanation:

Please Help
If the area of the shaded region in the diagram below is 103 square feet, what are the dimensions of the inside rectangle?

(Please don't mind my work)

Answers

Answer is 5/3 because I did this yesterday:)
I had a test of it today the answer is 5/3

Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E"

Answers

Answer:

Reflecting over the y axis will have the point (x,y) turn into (-x,y).

Step-by-step explanation:

If there are 27 lollipops and 54 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made.

Answers

the ratio is 1 : 2. hope this helps

Answer:

1:2

Step-by-step explanation: 54 divided by 27 is 2 so 1 lollipop is 2 candy bars!

Mandissa and Katelynn each make a pitcher of strawberry lemonade. Mandissa wants her drink to be more strawberry flavored with less lemon. She uses 2 1/4 times as many strawberries as Katelynn uses, and 2/3 the amount of lemons. If Katelynn uses 1/3 cup of strawberries and 6 lemons to make her pitcher of lemonade, how many strawberries and lemons will Mandissa use?

A:) 3 cups of strawberries and 6 2/3 lemons
B:) 1 11/16 cups of strawberries and 4 lemons
C:) 3 cups of strawberries and 4 lemons
D:) 1 11/16 cups of strawberries and 6 2/3 lemons

Answers

Answer:

  B:) 1 11/16 cups of strawberries and 4 lemons

Step-by-step explanation:

You want to know how many cups of strawberries and how many lemons Mandissa uses in her lemonade if she uses 2 1/4 times 3/4 cups of strawberries, and 2/3 times 6 lemons.

Strawberries

Mandissa's recipe has strawberries in the amount of ...

   (2 1/4) × (3/4 cup) = (9/4)(3/4) cups = 27/16 cups = 1 11/16 cups

Lemons

Mandissa's recipe has lemons in the amount of ...

  (2/3) × (6 lemons) = (2/3)(6) lemons = 4 lemons

Mandissa uses 1 11/16 cups of strawberries, and 4 lemons, matching choice B.

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