In trapezoid JKLM, determine LM.

In Trapezoid JKLM, Determine LM.

Answers

Answer 1

Answer:

LM = 12.1

Step-by-step explanation:

Trapezoid

The midsegment (also known as the median or midline) of a trapezoid is the segment that joins the midpoints of the legs.

The midline is parallel to the bases a and b and its length m is equal to the average of the lengths of the bases of the trapezoid:

[tex]\displaystyle m = \frac{a + b}{2}[/tex]

Since JP and PM are congruent and KQ and QL are congruent, PQ is the midline of the trapezoid JKLM.

We are given the midline m=11.4 and one of the bases a=10.7. We can find the other base by solving for b:

b = 2m - a

b = 2*11.4 - 10.7

b = 12.1

LM = 12.1


Related Questions

A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches
24 square inches
72 square inches
48 square inches​

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Answer:

yes it is

Step-by-step explanation:

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Answer:

The answer is D (31)

Explanation: there is a pattern by adding 3 each time to the minutes

Answer:

I thinks its 30

Step-by-step explanation:

because they add 3 twice then 2 twice to sooooooo yeh

Peter went to a local zoo where 30% of the exhibits feature canines. If the zoo features a total of 27 exhibits, how many of the zoo exhibits feature canines? Round your answer to the nearest whole number if necessary.

Answers

Answer: 8 exhibits

Step-by-step explanation:

There are 27 exhibits in this zoo.

Out of these 27, 30% of them feature canines.

The question is asking for this percentage as a whole number:

= Percentage of exhibits with canines * total number of exhibits

= 30% * 27

= 8.1

= 8 exhibits

NEED HELP ASAP PLZZZZ
Marcus has a part-time job at the water park. He makes between $73.99 and $79.25 a day. Which is a reasonable amount of money that Marcus makes for working 5 days a week for 9 weeks?
A.
$3,613
B.
$3,421
C.
$351
D.
$3,278

Answers

Answer

b

highest he should make is 3599.55 and lowest is 3332.55 so a doesnt fit and b does

$3,421 because 76 times 5 =380 and then 380 times 9

3) Consider the system of equations shown below.
y=-5x+1
y=-5x+ 10
How Many solutions does this system have?
a) Six solutions
b) One solution
c) Infinite solutions
d) No Solution
I

Answers

Answer:

no solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

identify the terms, coefficient, variable,and constant a² + 2 + 7b​

Answers

Answer:

variable is letter

Step-by-step explanation:


The terms is a^2, 2, 7b

The Coefficient is 7

The variable is a, b

The constant is 2

Find the solution to the inequality 10-x>2

Answers

Answer:

x < 8 hope that helps pls lmk

What is the slope of a line that is perpendicular to the line y = -1/4 -1

Answers

y = 4x - 1

The slope here is “4”

brainliest if answered correctly! Please help

Find the scale factor if point
A (4,-2) is dilated to be
point A (1, -3)

Answers

Go over 4 and up two on the negative side for (4-2) then just do the same for the other won but in the opposite square

25 POINTS. Radar used microwaved yo check the speed of cars. If a speed of the microwaves is 2 000 000 m/ s and the wavelength is 0.0345m calculate the frequency.

Answers

Answer:

57971014.49 Hz or 5.79 * 10^7 Hz

Step-by-step explanation:

Given that:

Speed of microwave (v) = 2,000,000 m/s

Wavelength, λ = 0.0345 m

Frequency :?

Using the relation :

v = fλ

f = v / λ

f = 2,000,000 / 0.0345

f = 57971014.49 Hz

HELP ASAP
What is the scale factor?

Answers

Answer:

Step-by-step explanation: this should help

Good morning. It is Friday, Jan 22. For today's attendance check in...
Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael's age?

Answers

Answer:

14

Step-by-step explanation:

Answer:

Micheal is 14

Step-by-step explanation:

First you need to minus the 25 from 53 to see how old they both are without the age difference, 53-25=28. Since we are looking at 2 people, we need to divide this number by 2. From this we get 14. Now 14+25=39. So we can prove that our answer is valid. Ergo, Micheal's age is 14.

HELPPP it’s a test quest.. 30pts

Answers

Answer:

Should be the first one. You have $5 flat fee and an additional 10 cents per text. Then you have a $10 flat fee and an additional 5 cents per text. so the first equation would be 0.1x + 5 and the second one would be 0.05x + 10

What is the value of x?



Enter your answer in the box.

x =

Answers

I think it is x= 54

I really need help please I will give brainleist!!!

Answers

What do you want help with!?? There is nothing there

2х - Зу = -1
y=x - 1

Answers

Answer:

r666666666666666666666666655555555555555555555555555555555555555555555

need help which one is it
a)x=7
b)x=12
c)x=20

Answers

- you can use the pythagorean theorem for this.

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

- square root this.

c = 20

therefore, x = 20.

so option C.

Answer:

c. X = 20

Step-by-step explanation:

Pythagoras theorem

a² + b² = c²

12² = 144

16² = 256

144 + 256 = 400

√400 = 20

terri is planning to build a garden using the plans below. how much fencing will she need to split the garden on the diagonal? rectangular 40yards by 30yards

Answers

Answer:

Length of the fence is 50 yards.

Step-by-step explanation:

The dimensions of the garden are:

length of the garden = 40 yards

width of the garden = 30 yards

Representing these by the sides of a right angled triangle, the diagonal is the hypotenuse of the triangle. So that applying the Pythagoras theorem, we have:

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

Let the diagonal be represented by x, so that;

[tex]x^{2}[/tex] = [tex]40^{2}[/tex] + [tex]30^{2}[/tex]

   = 1600 + 900

   = 2500

x = [tex]\sqrt{2500}[/tex]

  = 50

x = 50 yards

Hence, Terri would need a fence of length 50 yards so as to split the garden on the diagonal.

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Answers

Answer:

4+8+12

Step-by-step explanation:

Answer:

if the top is twelve and part of the bottom is 4 12-4=8 the missing part is 8

Which triangle is congruent to PQR?
A. aSTU
B. aJKL
C. aDEF
D. none

PLEASE HELP!!

Answers

DEF is congruent to PQR because they have the same shape and also if you do reflection over x axis it would be DEF

A square measures 17r on each side. Which monomial represents the area of the square?

Option 1: 289r^2
Option 2: 34r^2
Option 3: 289r
Option 4: 34r

Answers

Answer:

Area of square = 289r²

Step-by-step explanation:

Given:

Side of square = 17r

Find:

Area of square

Computation:

Area of square = side²

Area of square = (17r)²

Area of square = 289r²

A company makes cars.

The company’s income in 2017 was $500 000 more than the company’s income in 2016
The company’s income in 2017 was 8% more than the company’s income in 2016

Work out the company’s income in 2016?

Answers

Answer:

$6,250,000

Step-by-step explanation:

Let :

2016 income = x

2017 income = x + $500,000

2017 income is 8% more than company's income in 2016

Thus ;

8% of 2016 income = 500000

0.08x = 500,000

x = 6,250,000

Hence, the company's income in 2016 is $6,250,000

PLEASE HELP ITA DUE AT 9​

Answers

B is the correct answer

Answer:

its the third one

Step-by-step explanation:

1.7x10^9

take care

-tired kitten

who wants to rest forever

Add the following term
2x^7 + 3x^7 =

Answers

Answer:

5x^7

Step-by-step explanation:

3/4 cups of sugar for every 3/8 teaspoon of cinnamon what is the unit rate of cups per teaspoon

Answers

Answer:

2 cups per teaspoon

Step-by-step explanation:

3/4 cups of sugar for every 3/8 teaspoon of cinnamon what is the unit rate of cups per teaspoon

From the question:

3/4 cups = 3/8 Teaspoons of cinnamon

the unit rate of cups per teaspoon is calculated as:

3/4 cups÷ 3/8 teaspoons

= 3/4 ×8/3

= 2 cups per teaspoon

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Answers

Answer:

y is greater or less then 4

Step-by-step explanation:

Im jesus

The distance around a garden is 745 yards long. One brick is 15 yard in length. How many bricks are needed to go around the garden?
A.
11425
B.
735
C.
35
D.
39

Answers

Answer:

49

Step-by-step explanation:

745 / 15 = 49

not 39, 49

each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its historical average. which list shows water levels in order highest to lowest. :
A 0.38 0.7 0.09 -0.41 -0.6
B 0.7 0.38 0.09 -0.6 -0.41
C 0.38 0.09 0.7 -0.6 -0.41
D 0.7 0.38 0.09 -0.41 -0.6​

Answers

Answer:

0.7, 0.38,0.09, -0.41, -0.6 (A)

Step-by-step explanation:

It makes sense

The price of a flight was increased by 3% to £650. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

£631.07

Step-by-step explanation:

Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:

[tex]1.03p=650[/tex]

To solve for p, we can simply divide both sides of our equation by 1.03 to get

[tex]p=650/1.03\approx631.07[/tex]

So our orignal amount, to the nearest penny, was £631.07

Answer:

£631.07

Step-by-step explanation:

Expand 5a +2 (3a + 3b)​

Answers

Answer:

Step-by-step explanation:

we will do:

5a+2*3a+2*3b=

=5a+6a+6b=11a+6b

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