If FGH ~ KJH, find FH.

If FGH ~ KJH, Find FH.

Answers

Answer 1

The required length of FH is obtained as 64.68.

What is the criteria for similarity of two triangles?

Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.

Two similar triangles are the same in shape but not in size.

The given diagram shows two similar triangles as ΔFGH and ΔKJH.

Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,

(x + 8)/32 = (4x - 25)/52

=> 52(x + 8) = 32(4x - 25)

=> 52x - 128x = -32 × 25 - 52 × 8

=> -76x = -1716

=> x = 22.42

Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68

Hence, the length of FH for the given case is 64.68.

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Related Questions

13.5 x 12.1 what does it equal

Answers

Answer:

163.35

Step-by-step explanation:

13.5 x 12.1 = 163.35

Simplify
Plsss hurry

Answers

Answer:

imma say the third one

Step-by-step explanation:

sorry if wrong

Find the total cost of these items, including tax. Round to the nearest hundredth.

Water bottle:
Flashlight:

Answers

Answer: watter bottle : $1.61

Flashlight : $3.20

Step-by-step explanation:

What is the value of x in the equation below?
4(x + 1) = 3x +7

Answers

Answer:

89

Step-by-step explanation:

4(x+1) = 3x + 7
4x + 4 = 3x + 7
4x + 4 - 3x = 7
x + 4 = 7
x = 7 - 4
x= 3

Records kept for a period of 30 weeks by a
dietician at a cafeteria show the following
weekly consumption of milk ( in gallons).
200
205
210
215
220
225
230
235
240
Milkin
gallons
Probability
3/30
4/30
6/30
5/30
4/30
3/30
2/30
2/30
1/30
Find the average number of gallons of milk
consumed per week.

Answers

Answer:

216

Step-by-step explanation:

LCD = 30

200(3/30) = 600/30

^ do this process for each number

Answer: 216

Step-by-step explanation:

Solve for m:

14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2

Answers

Answer:

D. m = 5/2

Step-by-step explanation:

35 / 14 = m

35 / 14 = 2.5

2.5 as a fraction is 5/2

The equivalent value of m is given by the expression m = 5/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:

14m/14 = 35/14

Simplifying, we get:

m = 35/14

On further simplification of the equation , we get

m = (35/7)/(14/7)

m = 5/2

Hence , the equation is m = 5/2.

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Out of 40 times at bat, Raul got 15 hits. Find Raul’s batting average.

Answers

Answer:

.375

Step-by-step explanation:

To find the batting average, do 15/40. And 15/40=.375

X-4<5 I don’t get that

Answers

Answer:

x<9

Step-by-step explanation:

so first you add 4 to both sides,

then it is x<9 right?

WELL THAT'S THE ANSWER :)

pls give me brainliest

ˆ

THEY ARE CORRECT

GIVE THEM BRAINLIST BEFORE THIS GETS DELETED

Solve the inequality for the missing variable
24 -1t
1/5

Answers

Answer:

−t+24

Step-by-step explanation:

80.6 divided by 6 please answer

Answers

Answer:

13.433333333

Step-by-step explanation:

13.4 I used a calculator.

How do you get from 4 to 4/3

Answers

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.

Noah wanted to check his solution of x = 14/5 for the equation 1/2 (7x - 6) = 6x - 10 substituting 14/5 for x, he writes the following

Find the incorrect step in Noah's work and explain why it is incorrect

PLEASE HELP ME ​

Answers

Answer:

Line 4 is incorrect. Noah applied the distributive rule incorrectly.

Step-by-step explanation:

The incorrect step in Noah's work is fourth step that is :

[tex]7.14-6=12.14-20[/tex]

We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]

Substituting [tex]x=\frac{14}{5}[/tex] in the given equation

[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]

So, here in the given solution we observe that the fourth step is incorrect.

Since 5 is not multiplied to 6 and 20.

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The wall is 624 feet long and
made of 6,500 bamboo poles. How many
bamboo poles are there per foot, rounded to
the nearest whole number?

Answers

For this question you would simply divide the number of bamboo poles by the number of feet which would be:
6,500/624= 10.41666666666667
Since it says to round to the nearest whole number,

Your answer would be about 10 bamboo poles per feet

Compute. 321 divide 24

Answers

The answer is 13 quotient 9 remainder

please help me with his it needs to be in a fraction form

Answers

That hard but I’ll try to answer it once I have the answer

Solve and check please help ty

Answers

so wt's the question of this pic?

Akiko shot 204 baskets in 17 minutes. Find her basket rate in baskets per minute

Answers

Answer:

204/17

Step-by-step explanation:

and then you should get your answer

Answer:

12 baskets/per minute

Step-by-step explanation:

so u know that she can shoot in 204 baskets in 17 u just need to take 204 divided by 7 to figure out how many she makes per minute. ( 204 ÷ 7 = 12 )

I need help please.

Answers

Answer:

  12% or c

Step-by-step explanation:

590/670 = 88.059 rounded to 88

100 - 88 = 12

Answer: c

Step-by-step explanation: 80/670 = ____/100 then cross multiply

find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

What is the coordinate where x=-1 ?

What is the coordinate where x=2?

What is the rate of change between those two points?

Answers

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.

What’s the function and domain and range. (1, -2) (-2, 0) (-1, 2) (1, 3)

Answers

Answer: Domain:

{

1

,

2

,

1

}

{

1

,

-

2

,

-

1

}

Range:

{

2

,

0

,

2

,

3

}

Step-by-step explanation: The domain is the set of all the values of

x

x

. The range is the set of all the values of

y

y

.

How is a constant term different from a variable term
for an expression that represents a real-world situation?

Answers

Answer:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.

Step-by-step explanation:

select all that applies

Answers

Answer:

A

C

D

F

G

Step-by-step explanation:

You can pretty easily find the answer by just going through each statement and analyzing what it means.  For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel.  This could be correct.  The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question.  We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees)  This answer choice is incorrect.  Next up we have BPC and APD and it asks whether or not they are congruent.  We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent.  This means C is also a correct option.  Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent.  This answer choice is correct also.  Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from.  AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram.  This IS a correct choice.  Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question.  Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC.  These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes.  G is also a correct answer.  Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles.  Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other.  Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct.  This leaves A,C,D,F, and G as the correct answers.


The two triangles above are similar. What is the value of x ?


A) 5
B) 7.5
C) 8
D) 13 1/5

Answers

Answer:

7.5

Step-by-step explanation:

[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]

Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,

6/x = 8/10

Solving the ratio for x,

x = (6×10)/8

x = 60/8

x = 7.5 units

Hence, in the two similar triangles, the value of x is 7.5 units.

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The number 163 represents the
of the data set.

Answers

Answer:

Median

Step-by-step explanation:

The line that divides the rectangular box that into two on a box plot usually represents the median of the data set.

Therefore, number 163 would be the median of the data set.

163 represents the median value of the data set.

Answer:

The number 163 represents the

median

of the data set.

Step-by-step explanation:

emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit

Answers

Answer:

small box costs $11, large box costs $13

Step-by-step explanation:

2S + 3L = 61

3S + 3L = 72

Eliminate the L terms: subtract first equation from second equation

2S + 3L = 61

-3S - 3L = -72

-------------------

-S = -11

S = 11

2S + 3L = 61

2(11)+3L  = 61

3L = 39

L = 13

small box costs $11, large box costs $13

Answer:

no tienes idea de lo que estoy diciendo, chico

Step-by-step explanation:

what is 5% of 20= pls I really need some help on this will mark brainly if correct

Answers

Answer:

1

Step-by-step explanation:

5% of 20 = 1. hope this helps :)

How many 1/6 are in 2/3

Answers

Answer:

4

Step-by-step explanation:

2/3 ÷ 1/6 = 2/3 · 6/1 = 4

Answer:

It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.

Hope you enjoy !

1) Can a line have a slope of 1.25? Exp

Answers

Yes a line can have a slope of 1.25 if you do the math you should find the answers

5. Murphy obtains a 15/5 balloon mortgage to finance $113,500 at 4.95%. How much principal and interest will he have already pald when his balloon payment is due? (2 points)

$85,433.10

O $70,863.13

O $52,781.40

O $53,676.00

Answers

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

PLEASE HELP i have by the end of the day to turn this in PLEASE DO NOT GUESS :)

Answers

Answer:

x=101

Step-by-step explanation:

the missing angle and the outside angle have to equal 180 so

148-180= 32

then add 32+47 and subtract by 180 and that's your answer

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