Triangle H J K is cut by line segment A B. Line segment A B goes from side H J to side H K. The length of H A is 5. 25 inches, the length of H B is 3 inches, and the length of B K is 5 inches. What is the length of Line segment A J if Line segment A B is parallel to lines segment J K? 8 in. 8. 75 in. 10. 25 in. 14 in.

Answers

Answer 1

The segments on triangle HJK are illustrations of equivalent ratios

The length of line AJ is 8.75 inches

The given parameters are:

[tex]H A = 5.25[/tex]

[tex]HB = 3[/tex]

[tex]BK = 5[/tex]

Because lines AB and JK are parallel lines, then we have the following equivalent ratios

[tex]HA:HB = AJ:BK[/tex]

Substitute values for length HA, HB and BK.

[tex]5.25:3 = AJ:5[/tex]

Express both ratios as fractions

[tex]\frac{5.25}{3} = \frac{AJ}5[/tex]

Multiply both sides by 5

[tex]\frac{5.25}{3} \times 5= AJ[/tex]

[tex]8.75= AJ[/tex]

Rewrite as:

[tex]AJ = 8.75[/tex]

Hence, the length of line AJ is 8.75 inches

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Triangle H J K Is Cut By Line Segment A B. Line Segment A B Goes From Side H J To Side H K. The Length

Related Questions

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

URGENT NEED HELP ASAP

Answers

Answer:

1/4

Step-by-step explanation:

We know two points on the line so we can use the slope formula

(0,6) and (8,8)

m = ( y2-y1)/(x2-x1)

   = (8-6)/(8-0)

   = 2/8

   = 1/4

Answer:

1/4

Step-by-step explanation:

slope=rise/run=1/4

Please help me with this!!! I will mark brainlist!!!

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Answer: The value of Angle F = 47

Step-by-step explanation:

Negative 4,200 divided by 300

Answers

Answer:

-14

Step-by-step explanation:

Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?

Answers

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.


PLEASE HELP
Solve for x

Answers

Answer:

you get 32

Step-by-step explanation:

Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ?

Answers

Answer:

2/9.

Step-by-step explanation:

There are 2 multiples of 4 in the 9 cards, 4 itself and 8.

So the required Probability is 2/9.

What is the measure of angle PNL?

43°
47°
86°
94°

Answers

Answer:

43°

Step-by-step explanation:

Answer:

A-   43

Step-by-step explanation:

ed2022

Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?

Answers

Answer:

40

Step-by-step explanation:

16/40×100

= 1600/40

= 160/40

= 40

HELP ASAP PLEASEEEEEEEEEEE HELP MEEE​

Answers

Answer:

5x 24 = 120 pulus degreece so that = a 120 digree angle

Step-by-step explanation:

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answers

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

what is -10 - 2g = -2(3g - 1) + 4 ​

Answers

Answer : G=4
You have to divide

IF YOU KNOW IT ANSWER IT!!!! I ONLY HAVE 4 MINUTES ​

Answers

Answer:

A, the first one.

Step-by-step explanation:

Please rate 5 stars and add thanks. Goodluck on the rest

Answer:Option A is correct.Step-by-step explanation:x/4 - 5 < -6=> x/4 < -6 + 5=> x/4 < -1=> 4 × x/4 < -1 × 4=> x < -4Conclusion:

Therefore, Option A is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​

Answers

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Composite functions

Given the following fnctions

[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]

The composite function g(f(x)) is expressed as:

[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Learn more on composite function here: https://brainly.com/question/10687170

Is the converse of the statement valid?

If a is odd, then a + 7 is even.


Yes. If a + 7 is even, then a is odd.

Yes. If a is odd, then a + 7 is odd.

No. If a is even, then a + 7 is odd.

No. If a + 7 is odd, then a is even.

Answers

Yes. If a+7 is even, then a is odd

The converse of the statement is valid

Yes. If a + 7 is even, then a is odd.

The converse of a statement is gotten by switching the hypothesis and the conclusion.

In the statement:

If a is odd, then a + 7 is even.

The hypothesis = a is odd

The conclusion = a + 7 is even

The converse of the statement will be:

If a + 7 is even, then a  is odd.

The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd

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what is the value of the expression 5 + 6 x (5 - 2) + 9

Answers

i believe its 18x + 14

33 + 55 = __ (3+5)
Help me with this

Answers

Answer:

11 I think and hi how are u ::):):):):):):):):):):):):):

11 I’m pretty sure I got it right

Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.

Answers

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.

Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.

Learn more about mathematics on:

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Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more.

Answers

Answer:

6,174

Step-by-step explanation:

in total we have 20,160 rand.

3/10 of that is =  6048.

6048 rand is euros.

we now have a remaining 14,112 rand.

the rest of the rands is split up into 9:5:2

to find out how much one part equals we add 9, 5 and 2 together.

9 + 5 + 2 = 16.

We then divide the remaining 14,112 rand by 16 to find out one part.

14,112 / 16 = 882.

1 part = 882.

(dollars) 9 parts = 882 x 9 = 7,938 rand

(rupees) 5 parts = 882 x 5 = 4,410 rand

(francs) 2 parts = 882 x 2 = 1,764 rand

to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.

7, 938 - 1,764 = 6,174

Pieter changed 6,174 more rands into dollars than francs.

Hope this helped :)

Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.

Give the five-number summary and the interquartile range for the data set.

Answers

The five-number summary of the data set given is:

Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?

The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.

The five-number summary include the following:

Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.

What is the Interquartile range?

The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1

Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:

Minimum = 48

First Quartile (Q1) = (54 + 54)/2 = 54

Median = (68 + 70)/2 = 69

Third Quartile (Q3) = (75 + 77)/2 = 76

Maximum = 80

Learn more about the five-number summary on:

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The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?

Part A: Draw the pond and label what you know from the problem above.

Part B: What is the diameter of the pond?

Part C: How many seconds does it take the boat to get to the other side of the pond?

Answers

Step-by-step explanation:

See the photo let me know if you have a question

у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2

Answers

What grade are u in?

Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?

Answers

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

look at the graph. which equation represents the graph?

Answers

The correct answer is A

PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM ​

Answers

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

This is the right answer step by step…if you are good at maths y’ll understand it

which system of equations cannot be readily solved by the substitution method 6x+12y=11

Answers

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?

Answers

Answer:

$26.32

Step-by-step explanation:

0.94x28 = 26.32

(Meeting character limit)

Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?

Answers

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

How i can answer this question

Answers

Answer:

6x

Step-by-step explanation:

7x-x = x ( 7-1) = 6x

Answer:

6 x

Step-by-step explanation:

Subtract  x  from  7 x .

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

The zero is -6, that’s where it crosses the x axis.

In a bar graph space between rectangles is always​

Answers

Answer:

the same

Step-by-step explanation:

Not as histograms where space must equal 0 as calculating area is needed.

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