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
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
Read more about equivalent ratios at:
https://brainly.com/question/2328454
Related Questions
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.
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
Answers
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
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 .
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 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 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
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.
what is -10 - 2g = -2(3g - 1) + 4
Answers
You have to divide
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.
HELP ASAP PLEASEEEEEEEEEEE HELP MEEE
Answers
Answer:
5x 24 = 120 pulus degreece so that = a 120 digree angle
Step-by-step explanation:
what is the value of the expression 5 + 6 x (5 - 2) + 9
Answers
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]
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 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
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)
look at the graph. which equation represents the graph?
Answers
Negative 4,200 divided by 300
Answers
Answer:
-14
Step-by-step explanation:
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
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
Learn more on converse statement here: https://brainly.com/question/2751386
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
Therefore, Option A is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
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
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
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
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:
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 :)
Please help me with this!!! I will mark brainlist!!!
Answers
Answer: The value of Angle F = 47
Step-by-step explanation:
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:
https://brainly.com/question/24809873
PLEASE HELP
Solve for x
Answers
Answer:
you get 32
Step-by-step explanation:
33 + 55 = __ (3+5)
Help me with this
Answers
Answer:
11 I think and hi how are u ::):):):):):):):):):):):):):
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:
https://brainly.com/question/12798024