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

Read more about equivalent ratios at:

https://brainly.com/question/2328454

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

pls help me with this maths question ​

Answers

Answer:

a.7/4x

b.2/3c

Step-by-step explanation:

Which of the following lists of ordered pairs is a function?

Answers

Answer:

Option D.

Step-by-step explanation:

A  function is a relation in which one input (x-value) is assigned to exactly one output (y-value).

Since option D's x-values do not repeat, then it is a function.

Hope this helps.

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

For each problem below put the lettered measures in order for greatest to the least

Answers

Angles can be used to estimate the side lengths of a shape.

The letters in order of greatest to least are (a), (b) and (c)

The sum of angles at side (a) is:

[tex]a = 30 + 50[/tex]

[tex]a = 80[/tex]

The sum of angles at side (c) is:

[tex]c = 50 + 90[/tex]

[tex]c = 140[/tex]

The sum of angles at side (b) is:

[tex]b = 40 + 90[/tex]

[tex]b = 130[/tex]

So, we have:

[tex]a = 80[/tex]

[tex]b = 130[/tex]

[tex]c = 140[/tex]

The smaller the base angles, the longer the side.

Hence, the letters in order of greatest to least are (a), (b) and (c)

Read more about angles at:

https://brainly.com/question/11585894

Two what expression must 5a²-4a+3 be added to make the sum zero?

Answers

addition sybole is right

Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he find the measure of the third angle?

Answers

Answer:

the third angle is 50 degress

Step-by-step explanation:

the angle sum property states that the sum of all the interior angles of a triangle is 180.

therefore : 30 + 100 + x = 180

x = 180 - 130

x = 50

The third angle is 5p degrees

The cashier read the totals: $33.83, $19,40, $43.50, $3.08, $2.40. Circle the number that is wrong and record what it should be explain how you corrected the mistake

Answers

Answer:

74.0 g/mol

Explanation:

Step 1: Write the generic neutralization reaction

HA + NaOH ⇒ NaA + H₂O

Step 2: Calculate the reacting moles of NaOH

At the equivalence point, 33.83 mL of 0.115 M NaOH react.

0.03383 L × 0.115 mol/L = 3.89 × 10⁻³ mol

Step 3: Calculate the moles of HA that completely react with 3.89 × 10⁻³ moles of NaOH

The molar ratio of HA to NaOH is 1:1. The reacting moles of HA is 1/1 × 3.89 × 10⁻³ mol = 3.89 × 10⁻³ mol.

Step 4: Calculate the molar mass of the acid

3.89 × 10⁻³ moles of HA have a mass of 0.288 g.

M = 0.288 g / 3.89 × 10⁻³ mol = 74.0 g/mol

you need to really explain more and not going in person

PLEASE HELPPP!!
Find the value of X.

Answers

6x+10+81.5=180
Combine like terms
6x + 91.5 = 180
Subtract 91.5 from both sides
6x = 88.5
Divide by 6
X = 14.75

The answer is 3) 14.75

Evaluate 46.32 You may complete your work offline to show your thinking.

Answers

Answer:

you want me to round it I will edit it and show you

Step-by-step explanation:

Solve the following compound inequality. Graph the solutions. x <2 and x> -1 Solve the compound inequality. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The solutions are enter your response here. ​(Simplify your answer. Type an inequality or a compound​ inequality.) B. The solutions are all real numbers. C. There is no solution.


please help :(

Answers

Answer is b because I took the test no cap

Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?

Answers

Answer:

  9 hours

Step-by-step explanation:

"At the same rate" means time and wages are proportional.

  time/wages = t/$108 = (13 h)/$156

  t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel

  t = 9 h

Chang would have to work 9 hours to make $108.

Evaluate the expression when a=-2 and x=7.
-2a+x

Answers

Step-by-step explanation:

-2a + x

Putting values of a = - 2 and x = 7

-2(-2) + 7

4 + 7

= 11

The answer is 11 bc -2*-2 =4+7=11

The three solids below have the same height. The cross-sections of the parallel planes have equal areas,
Which solid has the greatest volume?

Answers

It should be noted that all the solids have the same volume.

What is volume?

Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. It should be noted that the definition of length is interrelated with volume.

Here, the three solids below have the same height. The cross-sections of the parallel planes have equal areas. They all have same volume.

Learn more about volume on

https://brainly.com/question/1972490

#SPJ1

1 point
A jacket is on sale for $48 in a Texas store. The sales tax in Texas is 6,25%.
How much does the jacket cost with sales tax included? *

Answers

Answer:

$51

Step-by-step explanation:

First, we can convert the tax to a decimal by dividing by 100.

6.25% = 0.0625

Then, we can calculate the sales tax by multiplying the original amount by the tax.

48 * 0.0625 = 3

Finally, we can add the sales tax to the original amount to get our final amount of

48 + 3 = 51

Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems per minute?

Answers

The student that did more maths problems per minute is Diedra.

In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.

Rate = total questions / total time

Malcolm = 15 / 18 = 0.833 problems per minute

Diedra = 16/ 17 = 0.941 problems per minute

To learn more about rate, please check: brainly.com/question/9834403

cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)​

Answers

Answer:

97

Step-by-step explanation:

If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733

Answers

Step-by-step explanation:

csc(Theta) = 1/sin(Theta) = 3.2362

Answer:

C. 3.2362

Explanation:

What do u get after dividing the sum of 352 and 698 by 5

Answers

Answer:

the answer to the question is 210

which function describes the arithmetic sequence shown -5,-7,-9,-11,-13

Answers

Answer:

[tex]n(x)=x-2[/tex]

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

n is the function and x repersent the number which is givenWe can write this function as: [tex]n(x)=x-2[/tex]So if we input x = -5 we will get -7. If we input -11 we get -13.

A train takes 50 minutes to travel 106.3 if the train travels at the same rate how long would it take to travel 416 miles

Answers

Answer:

Step-by-step explanation:

Let's find how many miles the train travels per minute.

do 106.3miles/50minutes=2.13miles/minute.

now we know it travels 2.13miles per minute.

we can know find the amount time it takes for the train to travel 416miles.

416miles/2.13miles= about 195.3 minutes or 11718seconds, or 3.3 hours.

Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
A y=-18
B y=3
C y=8
D y=-8

Answers

2+2=4 and 4+4=8 and 8+8=16

[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]

Jonah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would
Jonah use to make 1/2 of a recipe?
Write your answer as a fraction or as a whole or mixed number.
cups

Answers

Answer:

1/4 cup

Step-by-step explanation:

Assuming that the recipe makes 1 cup of dressing, Jonah would need 1/4 cup of vinegar. Half of 1/2 is 1/4.

What is the product of 10 and 9 divided bye 24 in simplest radical form?

Answers

Answer:

15/4

Step-by-step explanation:

You do 10*9 which is 90. Then divide it by 24 to get 90/24 and simplify it by dividing the numerator and denominator by 6

a group of 3 people are sharing chocolates each person wants 8 chocolates and each box has 4 chocolates

Answers

Answer: not sure

Step-by-step explanation: uhhh this ain't clear. how many boxes are there?

Answer:3x8/4
I Hope This Helps

Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?


ANSWER SOON

Answers

Divide the amount of savings by the percentage off:

12/0.30 = 40

The regular price was $40

Can no one really help me? I've posted a question worth 50 points and people who are just in it for the points keep responding...I need help this is literally very important to my grade and no one is helping me please help ​

Answers

Answer:

repost so i can see

Step-by-step explanation:

repost so i can seee

Answer:

wheres the answer???

Step-by-step explanation:

cant find the answer thats all

Evaluate the expression when c=−4 and y=2
-y+4c

Answers

Answer:

-2 - 16 = -18

Step-by-step explanation:

-y+4c

You take the values for c and y and substitute them in the original equation.

It would then look like:

-(2) + 4(-4)

Solving that would be -2 -16 = -18

Answer:

-18

Step-by-step explanation:

-(2)+4(-4)    Plug in the values of y and c.

-2+(-16)       Simplify.

-2-16

-18

Hope this helps you out!! Have an amazing day <3

There are 120 apartments on 15 floors. Find the unit rate.

Answers

8 apartments per floor.

This is a fraction equal to 120 apartments divided by 15 floors. We want a unit rate where 1 is the denominator, so we should divide the top and the bottom by 15

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

B,D,E

Step-by-step explanation:

I need help with this. 2 to the 6 power, +2 to the 3 power, raised to the 3 power. Please tell me the steps you took to get the answer. and happy. Christmas Eve

Answers

Answer: 576

Step-by-step explanation:

(I just know the powers of smaller numbers by memory so...)

2^6(2x2x2x2x2x2) = 64

You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512

Final answer = 512 + 64 = 576

[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]

[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]

[tex]\\ \sf\Rrightarrow 64+512[/tex]

[tex]\\ \sf\Rrightarrow 576[/tex]

Option A is correct

Other Questions
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise what is most likely to occur when the sun, moon, and earth are aligned in a relatively straight line? how do you evaluate numbers in math? the wind pushes a paper cup along the sand at a beach. the cup has a mass of 0.025 kg and accelerates at a rate of 5 m/s2. how much force is the wind exerting on the cup Factorize the following: 9x+6x+1-25y What is one way that gerrymandering hurts the political process? suppose that basho haiku were twice as long, containing six lines-and more words- instead of three. how would this change affect the poem Need help!!!!!!!!!!!!!!!!!!!!!!!! how to find the domain and range of a piecewise function without a graph What are three differences between the Roman republic government and the United States government? what can scientists gain clues about by analyzing the speed at which seismic waves travel? (I just need help on b)You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.Hot Chocolate Sales and Outside TemperaturesSales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199Temperature (F) 92 88 54 62 85 16 52 65 68 89 91a) Make a scatterplot of the data above. (2 points)b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points) What did Governor Winthrop call Puritan Massachusetts, meaning that it was a symbol to the rest of the world? Choose one of the two prompts below. Based upon your choice, write a 5-6 paragraph argumentative essay. Prompt #1:Choose an aspect of the struggle for equality and/or equal representation (i.e. political equality, racial equality, gender equality, etc.) from any of the previous texts we have read and make an argument in its favor using 2-3 examples from any of the materials from this course (such as What the Fourth of July Means to Me, Civil Disobedience, Aint I a Woman, An Indians View of Indian Affairs, etc.)OrPrompt #2:Consider the difference in philosophy between Bright Romanticism (Emerson, Thoreau, and Whitman) and Dark Romanticism (Hawthorne, Melville, Poe, and Dickinson) from any of the previous texts we have read and consider their underlying premise of the inherent hopefulness or hopelessness of human nature. Is the human experience more positive or negative? Is humanity hopeful or doomed? Make an argument for one or the other using 2-3 examples from any of the materials from this course.Be sure to include the following:A central thesisA counterclaim and rebuttalEvidence that supports your claim that is properly cited (see MLA guidelines)PLEASE HELP i have my final in three days and i need to get 9h of work caught up before then WILL MARK AS BRAINLIEST (no links) What were the environmental effects of the silk road? what is the number of the atom in 1 mole of methanol CHOH ? Sponges are sold for 20 dollars. How many sponges per dollar. when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter Read the sample student claim.Many people claim that cell phones are unsafe and that the damage they cause has yet to be revealed, but the benefits they provide far outweigh any potential and unproven risks.Which best addresses a potential counterclaim?Certain types of cancers take twenty to thirty years to develop, and cell phone studies have only been monitoring this potential connection for ten years or less.On April 3, 1973, the first mobile telephone call was made by Martin Cooper, who is now referred to and known as the father of the cell phone.The portability of cell phones increases personal safety by affording people an easier and faster way to call for help in the event of a serious or life-threatening emergency.According to the Federal Communications Commission and the Food and Drug Administration, cell phone use has not been linked to an increased risk of brain tumors. You buy 3.18 pounds of apples, 1.35 pounds of oranges, and 2.25 pounds of pears. What is your total bill?