In the Diagram of parallelogram HIJK below, the diagonals HJ and IK are perpendicular, as shown. If HJ is 10 inches and IK is 24 inches long, then why must HK be 13 iches long?

Answers

Answer 1

The measure of the section HK of the parallelogram will be 13 inches.

What is a parallelogram?

A parallelogram is a straightforward quadrilateral with two parallel sides. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.

A diagonal in geometry is a line segment that connects two vertices of a polygon or polyhedron that are not on the same edge. Informally, any sloping line is referred to as a diagonal.

The length of the HK will be calculated as,

HK = √ ( 12² + 5²)

HK = √ ( 144 + 25 )

HK = √ (169 )

HK = 13 inches

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In The Diagram Of Parallelogram HIJK Below, The Diagonals HJ And IK Are Perpendicular, As Shown. If HJ

Related Questions

Which answer choice is an expression that represents Melissa's age in 9 years, when the variable a represents her current age?

Answers

Answer:

a + 9

Step-by-step explanation:

Given that :

Melissa's current age = a

Melissa's age in 9 years will be will be expressed as :

Melissa's current age + number of years from present time

Thus ;

Expression to represent Melissa's age in 9 will be :

a + 9

Thus ;

Melissa's in 9 years = a + 9

=

In the figure below, C is between A and D, and B is the midpoint of AC. If BD=11 and BC=8, find AD.

Answers

Answer:

AD = 19

Step-by-step explanation:

Here, we want to find the length of AD

To do this, we will use the illustration drawn below in the attachment

Since B is the midpoint of AC, and BC = 8; then AB will also be 8

Mathematically;

AD = AB + BD

AD = 8 + 11

AD = 19

(1)/(8)-1(7)/(8) please help

Answers

Answer: -0.75

1/8 - 1(7)/8 = -3/4= -0.75

Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.

Answers

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

The value of y is proportional to x. When x=3 , then y = 15. Which equation represents the relationship between x and y?
A.y=5x
B.y=12x
C.y=0.2x
D.y=45x

Answers

Answer:

A. y = 5x

Step-by-step explanation:

Direct proportion equation:

y = kx, where k is the coefficient of proportionality

We have:

x = 3 and y = 15

Using the equation to find the value of k:

15 = 3kk = 15/3k = 5

The equation of the line:

y = 5x

Correct choice is A

Can someone please solve this for me

Answers

I think the answe is d please be aware I might be wrong

Two parallel lines have same slopes so we need to find the slope of the line which passes through the given points.

Suppose : A = ( - 2 , 7 ) & B = ( 4 , 4 )

Slope = y ( B ) - y ( A ) / x ( B ) - x ( A )

Slope = 4 - 7 / 4 - ( - 2 )

Slope = - 3 / 4 + 2

Slope = - 3 / 6

Slope = - 1 / 2

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

As you know The coefficient of x is the slope of the line in slope-intercept form.

Thus we have to find the option which x has - 1 / 2 as the coefficient .

Look we have that in D so the correct answer is D .

The value of a new $5400 sailboat decreases 10% per year. Find its value after 5 years. Round to the nearest penny.

Answers

Answer:

FV= $3,352.98

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,400

Number of periods (n)= 5 years

Interest rate (i)= 10%

To calculate the future value (FV), we need to use the following formula:

FV= PV / (1 + i)^n

FV= 5,400 / (1.1^5)

FV= $3,352.98

The probability that a student guesses the correct answer to a five​-choice multiple choice question is ​P(correct)=0.2. How many correct answers should a student expect to guess on a test with 60 ​five-choice multiple choice​ questions?

Answers

Answer:

12 correct answers

Step-by-step explanation:

It is given that :

The probability of a student guessing the correct answer for a five choice multiple choice question is [tex]$\text{P(correct)}=0.2$[/tex]

Number of multiple choice questions = 60

So the number of correct answers that a student are expected to guess correctly on the test is :

[tex]$=60 \times 0.2$[/tex]

= 12

Q26. Division A has 15 students and division B has 20 students. Average score of students in division A is greater by 2 as compared to the average score of students in division B. The total marks of all the students in divi- sion B is 160 more than total marks of all the students in division A. Find the average marks of students in division A

Answers

Step-by-step explanation:

Let a be the total score of Div. A

Let b be the total score of Div. B

given,

[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]

as equation 1.

and

[tex]b - a = 160 \\ - a + b = 160[/tex]

as equation 2.

Now multiply equation 2 by 1/20 to eliminate b to solve for a.

[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]

take this new equation as equation 3.

now we will use equation 1 + equation 3 to eliminate b to solve for a.

[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]

Div.A total score = 600

Average Score = Total Score / Number of students.

[tex] \frac{600}{15} \\ = 40[/tex]

i will mark brainliest if you’re correct!!!

The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:

V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length

Which formula best represents l in terms of w and V ?


A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3

Answers

V = 8w + 3l
V-8w/3 = l
Answer is C.

What is the GCF of:
4n. 16n2, 8n

Answers

The answer to the problem is 4n.

Answer:

1st expression=4n

2nd expression=16n²=4n×4n

3rd expression=8n=2×4n

so

GCF=4n

Geometry problem, please help ASAP

Answers

Answer: 255.988°

Step-by-step explanation:

Use SOH-CAH-TOA (O=opposite, A=adjacent(side), H=hypotenuse)

They gave us the quest to find the adjacent side, so we can cross off SOH. The angle of elevation is 38 and the angle is adjacent to the right angle(side) and they gave us the opposite which is 200. Now we can also cross off the CAH because they didnt give us or ask for the hypotenuse. SO now solving time.

tan(38)=[tex]\frac{200}{x}[/tex], since x is on the bottom we switch.

x=[tex]\frac{200}{tan(38)}[/tex]

x=255.988°

What is the solution to 3/4 a >-16?​

Answers

the one u clicked one is the answer ?

Answer:

a

Step-by-step explanation:

you were right.

hope this helps

I've been very confused for hours now on when to put an imfity sign when doing quadratic inequalities pls help​

Answers

Answer:

The symbol (∞) is read as infinity. and indicates that the set is unbounded to the right on a number line. Interval notation requires a parenthesis to enclose infinity. The square bracket indicates the boundary is included in the solution.

Step-by-step explanation:

If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for π. Round to the nearest whole number if necessary.

Answers

Answer: 15

Step-by-step explanation:

The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15

The radius of the inflated beach ball is equal to 58 inches.

What are the surface area and volume of a sphere?

Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.

Given: The volume of the sphere is 14,310 inches³

we know the volume of the sphere is  4/3 πr³

Thus equating we get

4/3 × 3.14×r³=14310

r³=3417.99

r³=3418

r=58.463 or 58 (approx)

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Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!

Answers

Answer:

2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536

2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748

Step-by-step explanation:

The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.

2a:

a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}

a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}

a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.

a₈ = -1536

2b:

a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)

a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}

a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}

a₈ = 8748

1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?

2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?

3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?

4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?

5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?

6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?

7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?

8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?

9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?

10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?
I need your help.

Answers

Answer:

1- 24

2- $96

3- $7.75

4- 37

5- 11

6- 54

7- $38

8- 12

9- $46

10- 59

Can someone please help me with math.

Answers

Answer:

4. (2,1) 5. (-2,1) 6. (8, 80)

Step-by-step explanation:

4.

2x + 4y - 2x + 2y = 8 - 2

6y = 6

y = 1

2x + 4 = 8

2x = 4

x = 2

(2,1)

5.

3x + 4y + 6x - 4y = -2 - 14

8x = -16

x = -2

-6 + 4y = -2

4y = 4

y = 1

(-2,1)

6.

multiply first equation by 4

4y = 40x

4y + 40x + 6y = 40x + 800

10y = 800

y = 80

80 = 10x

x = 8

(8, 80)

pls help it’s 12 POINTS!!!

Answers

Answer:

1=200

2=300

3=400

4=400

Step-by-step explanation:

Each year they get 100 more dollars. If you have any questions, just ask!

Please help me on this! Name it like A, B, C, D

Answers

Answer:

B. -2_x_4÷3 this answer are not sure

Answer:

D

Step-by-step explanation:

-5 < 6x +3

-8 < 6x

-(4/3) < x

I use < to represent 'no no smaller than'

!!!!!!!!! PLEASE HELP !!!!!!!!!!


Solve x² - 6x - 7 = 0

Answers

Answer:

x = 7, -1

Step-by-step explanation:

ahh problem/question in the image ​

Answers

Answer:

60 clockwise

Step-by-step explanation:

find the value of x. pls and thank you quickly

Answers

Answer:

X=4

Step-by-step explanation:

[tex]\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4[/tex]

hope it helps....

the answer is 4, x=4

Solve the following quadratic equation for all values of xx in simplest form.
17-2x^2=-21

Answers

Answer:

17-2x^2=-21

Step-by-step explanation:

17-1x=-21

17-21=x

-4=x/x=-4

Every month, $80 is withdrawn from tom's savings to withdrawn no more than $240. For how many months can tom pay for his gym membership?

Tom can pay for _______ (here are the choices)

•less than
•more than
•no less than
•no more than

Tom can pay for (the choice above) _____ months of his membership.

This is a one-step inequality btw

Answers

Tom can pay for 3 months of membership because 240 divided by 80 is 3.
Tom can pay for no more than 24o dollars.

Someone plz help me

Answers

Answer:

a

Step-by-step explanation:

Solve for x.
SHOW WORK!

Answers

Answer:

6

Step-by-step explanation:

1)

-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]

2)

NOW, Simple simplify....

The value of a house is 400,000 in 2015 and it doubles every decade. 1.If v is the value of the house,in dollars write an equation for v in terms of d, the number of decades since 2015.

Answers

Answer:

[tex]v=400,000 \times (2)^d[/tex]

Step-by-step explanation:

Given that,

The value of a house is 400,000 in 2015 and it doubles every decade.

Let v be the value of the house.

We need to find an equation for v in terms of d (the number of decades since 2015).

It shows that the function is exponential. So,

[tex]v=ab^d[/tex]

Where

a = Initial Value = 400000

b = rate = 2

d = number of decades

v = the current value of the home

So,

[tex]v=400,000 \times (2)^d[/tex]

The coordinates of three corners of a rectangle are A(2, 3), B(-5,3), and C(-5, -2).
Part A
Plot points A, B, and C. Plot the fourth corner, D, and give its coordinates. What are D's Coordinates?

Answers

Answer: I took a screen shot of your answer hope this helps

Step-by-step explanation:

pleas make brainly  

Find the area of each figure and round to the nearest tenth if necessary

Answers

Given:

The figure of two semicircles with diameters 6 cm and 5 cm.

To find:

The area of the combined figure.

Solution:

It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.

Area of a semicircle is:

[tex]A=\dfrac{1}{2}\pi r^2[/tex]

So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:

[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]

[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]

[tex]Area=14.137167+9.817477[/tex]

[tex]Area=23.954644[/tex]

Round the value to the nearest tenth (one decimal place.

[tex]Area\approx 24.0[/tex]

Therefore, the area of given figure is 24.0 sq. cm.

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260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys (2, -7) and (5, -4) find the slope of this lineNEED AN ANSWER ASAP What historical event influencedpeopleof the Renaissance to view their livesless controlled by fate and moreopento opportunity?A. The outbreak of the plague In Europe decreasedpeople's belief that Ilfe was controlled by fate.B. Albert Einstein's discoveries in physics helpedpeople of the Renaissance seek for new opportunity.C. The invention of the printing press madeInformation and new opportunity available to themasses, Please give me the right answer A pontoon boat is traveling 25 miles per hour in the direction of S 65 W. If it hits a current traveling at 6 miles per hour in the N 15 W direction, find the resultant vector. Ive finished my class good luck!!? EASY POINTS!!!!According to this section, Wilson's plays surround the themes of... (pick 2)A: gender and sexualityB: the history of BlackAmericaC: tradition and revolutionD: racism in America 9.) This 200 kgstag that weighs1,960 N on earthwould only weigh324 N on themoon. Calculate the moon'sacceleration due to gravity. The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all? What Scene in chapter 10 of kite runner is a deliberate juxtaposition to Amirs cowardice in 1975? Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster? Many employees say that their managers give them clear and sufficient directions, as well as goals for their work. TrueFalse The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with mean =1497 and standard deviation =322. A certain test-retake preparation course is designed for students whose SAT scores are in the lower 25%, percent of those who take the test in a given year. What is the maximum SAT score in 2014 that meets the course requirements? In 1819, two states joined the U.S. This meant that there were 12 states that allowed slavery and 12 states that did not. Which two were they? Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.A. $487,988.40B. $720,421.84C. $37,784.31D. $556,559.8 -6y+15= -27 what is y? A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 Liked jazz. If the company estimates sales of 3,000 copies a week at its online store, how many will likely be from the rock genre?* 520 1,500 2,100 1,560 Georgians could trade in their Confederate money for US dollars. True or False Find which of the following fractions is larger: 51) 2/5,1/3,1/15 A) 2/5 B) 1/3 C) 1/15 52) 3/12,2/6, 1/24 A) 3/12 B) 2/6 C) 1/24 A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpole. Find the height of the flagpole