What is HL? Trapezoid

What Is HL? Trapezoid

Answers

Answer 1

Answer:

HL = 21

Step-by-step explanation:

HL is the midsegment of the trapezoid shown above. Thus, it follows that:

HL = (JK + GF)/2

JK = 12

GF = 2.5(JK) = 2.5(12) = 30

Plug in the values:

HL = (12 + 30)/2

HL = 42/2

HL = 21


Related Questions

A wading pool holds 30 gallons. How many pints of water would be equivalent?

Answers

Answer:

240 Pints

Step-by-step explanation:

To convert 30 gallons into pints you need to multiply 30 by the conversion factor in order to get the volume amount from gallons to pints.

Answer: 240 pints

Step-by-step explanation:

One pint is equal to 0.125 gallons.

The winner of a 50 mile race drove his car to victory at a rate of 112.9094 mph. What was his time (to the nearest thousandth of an hour)?
His time was
hours.
(Round to the nearest thousandth.)

Answers

Answer:

0.443 hours

Step-by-step explanation:

time = total distance / mph

time = 50 / 112.9094

time ≈ 0.443 hours

Answer:

0.443 hours

Explanation:

Given following:

speed: 112.9094 mphdistance: 50 miles

Formula:

[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]

Substitute values to find time taken:

[tex]\sf \rightarrow time = \dfrac{50}{112.9094 }[/tex]

evaluate

[tex]\sf \rightarrow time = 0.4428329262[/tex]

rounded to nearest thousandth

[tex]\sf \rightarrow time = 0.443[/tex]

If y is directly proportional to x and y =1200 when x=30, then what is the value of x when y=30?

Answers

Answer:

Y= 30

X= 0.75

Step-by-step explanation:

If the first Y was 1,200 and X was 30, then that means every time your divide Y by 40, you will get your X. It's the exact opposite if you want to find Y.

So you want to divide your Y, which is 30, by 40. Once who find your answer, you should have gotten 0.75 for X.

Why divide by 40? Good question. You divide by 40 because if you multiply your X example Y= 1,200, X= 30, you will get 30x40 which is 1,200. Do it the other way around divide 1,200 by 40, you get 30.

All in all your answer should be X= 0.75. If not tell me.

Thank You For Your Time

The table shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it before 4 p.m. Complete: Isabel will pay $ if she returns the sound system by 4 p.m. If she is 30 minutes late, she will pay an additiona

Answers

Answer:

56

Step-by-step explanation:

its 56 b

We can conclude that -

Isabel will pay $60 if she returns the sound system by 4 p.m.If she is 30 minutes late, then she will pay $72.

What is inequality?

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is the table that shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it before 4 p.m.

The total number of hours for which she will rent the sound system is -

{h} = 4 - 1 = 3 hours

{h} = 3 hours

Now, for 3 hours, the given inequality is -

2 < x ≤ 3

We can write the cost as $60.

If she is 30 minutes late, then she will pay $72.

Therefore, we can conclude that -

Isabel will pay $60 if she returns the sound system by 4 p.m.If she is 30 minutes late, then she will pay $72.

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Complete the function table.
y= 3x + 5

Answers

Hope this helps
-16=y=3•-7+5
5=y=3•0+5
20=y=3•5+5
-4=y=3•-3+5
83=y=3•83+5

Suppose a and b are positive integers such that lcm(a,b) = 90 and gcd(a,b) = 3. If b is three more than a, then what are the values of a and b?​

Answers

Given:

LCM(a,b) = 90 and GCD(a,b) = 3.

b is three more than a.

To find:

The values of a and b.

Solution:

We have,

LCM(a,b) = 90

GCD(a,b) = HCF(a,b) = 3

According to the question,

[tex]b=a+3[/tex]

If a and b are two positive integers, then

[tex]a\times b=HCF(a,b)\times LCM(a,b)[/tex]

[tex]a\times (a+3)=3\times 90[/tex]

[tex]a^2+3a=270[/tex]

[tex]a^2+3a-270=0[/tex]

Splitting the middle terms, we get

[tex]a^2+18a-15a-270=0[/tex]

[tex]a(a+18)-15(a+18)=0[/tex]

[tex](a+18)(a-15)=0[/tex]

Using zero product property, we get

[tex]a+18=0[/tex] and [tex]a-15=0[/tex]

[tex]a=-18[/tex] and [tex]a=15[/tex]

a is a positive integer so it cannot be negative. So, a=15.

Now,

[tex]b=a+3[/tex]

[tex]b=15+3[/tex]

[tex]b=18[/tex]

Therefore, the value of a is 15 and the value of b is 18.

Anna's favorite pool toys are the beach balls. If the radius of one of the beach balls
is 6 inches, to the nearest whole number, what is the volume of the beach ball?
Leave your answer in terms of a.
Inches Cubed

Answers

Answer:

288

Step-by-step explanation:

please review the attachment for step by step soluation

WILL MARK BRAINLIEST IF CORRECT ANSWER! How many solutions??

Answers

Answer: infinite

Step-by-step explanation: since they have the same slope and y interscept it is a coincident line and has infinite solutions

y= 4-x

y= 4-x

Answer:

infinitely many

Step-by-step explanation:

when you simplify, you get the following two equations:

y=-x+4

y=-x+4

those two equations are the same, therefore it is many

Which order is correct? 0.8. 1 2 3' 3 1. 0 -0.8, 2 1 1. 1 3 3 1 o 1 3. -0.8, 2 3 1 1 IN 1 -0.8 1​

Answers

I don’t know because I think you copied the question wrong

(A) just trust

ITs too good

Leonardo draws a cookie on graph paper using the scale shown below. The cookie has a diameter of 12.5 cm in the drawing. Which of the following drawings best represents the diameter of the cookie at the scale Leonardo chose?

Answers

Answer:

Where's the drawing at because I don't see anything man

how to solve this. help me ASAP​

Answers

Step-by-step explanation:

if they are parallel they must be equal

what equation is equal to the x axis x = 4, x +y = o, x = y, y = 4

Answers

The x-axis is equivalent to x = 4, x + y = 0, x = y, and y = 4, and the value of the x-axis is y = 0.

What is equivalent?

Expressions that are equivalent do the same thing even when they have distinct appearances.. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s)

The Cartesian plane is what?A coordinate system is a plane with Cartesian coordinates. Each point is uniquely identified by a pair of numerical coordinates that are the signed distances from two fixed perpendicularly oriented lines to the point, measured in the same unit of length.Given that all of the y-values on the x-axis are zero, the x-axis' equation is y = 0.Similar to the x-axis, the y-axis also has all zero values, therefore the equation of the y-axis is x = 0.

((This presupposes that we're referring to the Cartesian plane, i.e. we are limiting ourselves to two dimensions.)

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An election for favorite lunch snack is between Apples, Beets, and Carrots. Students voted for their top three from best to least. The results are: ABC : 41 BAC : 26 CAB : 42 How many votes will A have in total after B is eliminated due to the Hare method

Answers

Answer: after eliminating B due to Hare Method, A will have a total of 67 VOTES

Step-by-step explanation:

Given that;

The results are

ABC : 41

BAC : 26

CAB : 42

NOW

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

C>A>B = 42 ⇒ C has 42 votes

According to Hare method, least votes gainers will be eliminated and once eliminated, his/her/its votes will be transferred to the next choice of person/thing.

based on the question; B will be eliminated

so we have;

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

we eliminate B, the votes are transferred to the next (A)

A>C = 26 ⇒ A has 26 votes

C>A>B = 42 ⇒ C has 42 votes

SO in total

A votes = 41 + 26 = 67 VOTES

Therefore after eliminating B due to Hare Method, A will have a total of 67 VOTES

After eliminating B due to Hare Method, A will have a total of 67 votes

We have given that,the results are

ABC : 41

BAC : 26

CAB : 42

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

C>A>B = 42 ⇒ C has 42 votes

What is the Hare method?

The Hare method is least votes gainers will be eliminated and once eliminated,The  votes will be transferred to the next choice of person/thing.

From the given question we have B will be eliminated

Therefore  we have

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

We eliminate B, the votes are transferred to the next (A)

A>C = 26 ⇒ A has 26 votes

C>A>B = 42 ⇒ C has 42 votes

Therefore the total votes are

A votes = 41 + 26 = 67 votes

Therefore after eliminating B due to Hare Method, A will have a total of 67 votes.

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given h (x) = 4x+2x^2-1

Answers

[tex]12a+18a^2-1[/tex]

Answer: 12a+6a^2 -1

Step-by-step explanation:

4(3a)+2(3a)^2-1

Solve the equatuon

x/2-(2/(x+1))=1

x=?

Answers

[tex]\frac{x}{2}-\frac{2}{x+1}=1[/tex]

We have 2 denominators that we need to get rid of. Whenever there are the denominators, all we have to do is multiply all whole equation with the denominators.

Our denominators are both 2 and x+1. Therefore, we multiply the whole equation by 2(x+1)

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

Then shorten the fractions.

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

Distribute in all.

[tex]x^2+x-4=2x+2[/tex]

We should get like this. Because the polynomial is 2-degree, I'd suggest you to move all terms to one place. Therefore, moving 2x+2 to another side and subtract.

[tex]x^2+x-4-2x-2=0\\x^2-x-6=0\\[/tex]

We are almost there. All we have to do is, solving for x by factoring. (Although there are more than just factoring but factoring this polynomial is faster.)

[tex](x-3)(x+2)=0\\x=3,-2[/tex]

Thus, the answer is x = 3, -2

-2 1/3 - (-5) =
Solve please

Answers

Answer:

2 2/3

Step-by-step explanation:

15.
Find m of angle B

Answers

Answer:
X= 9
M angle B = 79

Explanation: Add all of the angles and you should get 37x + 27. Then you have to substitute the number of sides into the equation.

(N-2) 180 N = the number of sides in the
shape. If this case, it’s 4


Once you substitute 4 in, you should get 360 once you solve it. So you should have 37x + 27 = 360. Then you just solve it from there. 360 - 27 = 333

37x = 333
—— —— X= 9
37 37

Now you just put in 9 for x.

8 (9) + 7

72 + 7

M angle B = 79

Sammy has a rectangular doormat on her porch. The mat is ​4/5 m long and 1/2 wide. What is the area of the doormat?

Answer:
​4/5 x 1/2
Multiply 4/5 x 1/2 by multiplying numerator times numerator and denominator times denominator.
4x1 4x1
____ Do the multiplications in the fraction ___
5x2 5x2

4/10 Reduce the fraction 4/10 to the lowest terms by extracting and canceling out 2.
2/5 0.4

Answers

The area of the given doormat is 0.4 meter square.

Here, we are given that Sammy has a rectangular doormat. The dimensions of the doormat are given as follows-

The length of the doormat is = 4/5 meters

and the breadth of the doormat is = 1/2 meters

The area of a rectangular figure is given by the formula as follows-

Area of a rectangle = length × breadth

Let the area of the rectangular doormat be A

Thus, in this case, we have-

A = 4/5 × 1/2

A = 4/ 10

A = 2/5

Now, converting the area obtained into a decimal number we get-

A = 0.4

Thus, the area of the given doormat is 0.4 meter square.

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An artist can draw 3 illustrations in 3.5 hours. How many hours will it take to
draw 15 illustrations? Explain or show how you found your answer.

Answers

Answer:

17.5 hours

Step-by-step explanation:

divide 15 by 3 to get 5,

multiply 5 by the amount of hours it takes to draw 3 illustrations so 5 x 3.5, the answer is 17.5

Solve for x
-2(x+6) =-36

Answers

Answer:

x= 12

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

-2(x+6)=-36

distribute the -2

-2x-12=-36

add 12 to both sides

-2x=-24

divide both sides by -2

x=12

Please help ill give brainliest!

Answers

Answer:

for the 1st one x=9 y=4

Step-by-step explanation:

the second triangle is twice the size of the first one

I need help :(
Figure ABCD is a rhombus. Find the value of x.

Answers

The value of x is 32 degrees.

Rhombus

A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. The rhombus is also called a diamond or rhombus diamond.

It is given in the question that there is a rhombus ABCD with ∠ DAC = 58 degrees.

We have to find the angle x or  ∠ ADB.

We know the property that the diagonals of the rhombus perpendicularly bisect each other.

Hence, the rhombus is divided into 4 right triangles.

Hence,

∠DAC +  ∠ADB = 180 - 90  = 90 degrees

58 + x = 90 degrees

x = 90 - 58

x = 32 degrees.

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what if you use 24 cups of water. how much sugar do you need.

Make a ratio table​

Answers

Answer:

24:?

Step-by-step explanation:

it depends on the ratio of cups of water to sugar.

For example: if there is one cup of sugar for every 12 cups of water. the ratio would be 24:2

Let f(x) = 2x^2-2x+ 7 and g(x) = x^2 + 9x -6z Find f(x) - g(x).

A. X^2-11x+13

B. X^2-11x+1

C. X^2+7x+1

D. X^2+7x+13

Answers

Heres the answer welcome btw

C is the answer im pretty sure

What is the value of x, y, z? Please answer need help soon

Answers

Answer:

x = 55

y = 55

z = 70

Step-by-step explanation:

x + 125 is a straight line, 180⁰ x+125=180 x=55⁰

since this is an isosceles triangle, x = z

and the sum of all angles in any triangle is 180⁰

55+55+y=180⁰

y = 70⁰

Answer:

x=55º, y=70º, z=55º

Step-by-step explanation:

We have that xº = 180º - 125º = 55º

As it is an isosceles triangle, we have xº = zº = 55º

Therefore, yº = 180º - (xº + zº) = 180º - (55º + 55º) = 180º - 110º = 70º

Help? Will give brainliest!

Answers

Answer:

Top one

Step-by-step explanation:

It is more appropriate to measure the speck of dust using millimeters because that is most similar to the scale of the speck's size.

Bonnie filled her car’s gas tank. She put in 10 1/2 gallons and paid $15.36.
Write the ratio in fractional form to determine the cost of gasoline per gallon.
What is the cost of gasoline per gallon?

Answers

Answer:

1: 2 and $3.072

Step-by-step explanation:

According to the question, the data provided is as follows

10 half gallons

For this she paid $15.36

Based on the above information,

The ratio in fractional form is

= 1 ÷ 2

= 1 : 2

And, the cost of gasoline per gallon is

Since  half of 10 gallons is 5

And, the amount paid is $15.36

So, the cost of gasoline per gallon is

= $15.36 ÷ 5

= $3.072

Step-by-step explanation:

PLEASE HELP!!! Angle ABC is a straight angle.
The measure of angle DBC is 25°. The measure of angle ABD is x°. What is the value of x

Answers

Answer:

x = 155

Step-by-step explanation:

These angles are supplementary, so they add up to 180 degrees. So:

180-25 = x

155 = x

Julius earns $47,800 a year working for a delivery service. He is single and pays $2,152.60 in state income
tax each year. He claims no dependents. What is the tax rate of Julius' state?

Answers

2152.60/47800 = 0.045033472803347 round that up to however your teacher has asked ~ .045

The tax rate is 4.50% if Julius earns $47,800 a year working for delivery service. He is single and pays $2,152.60 in state income tax each year.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Julius earns $47,800 a year working for delivery service. He is single and pays $2,152.60 in state income tax each year.

To find the tax rate:

tax rate = (2152.60/47800)×100

tax rate = (0.045)×100

tax rate = 4.50%

Thus, the tax rate is 4.50% if Julius earns $47,800 a year working for delivery service. He is single and pays $2,152.60 in state income tax each year.

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In a game a spinnerwill land on red 45% of the time, yellow 15% of the time, and blue 40% of the time. If the spinner is spun three times, find the following probabilities.

Answers

Answer:

Step-by-step explanation:

if im correct it should be 100% but if its not then im sorry

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