mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.

K

L

M

Answers

Answer 1

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°


Related Questions

Find a. brainliest!!

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Answer:

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Step-by-step explanation:

You’re trying to figure out how many degrees to Z or Y

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It should C or either D

Which expression is equal to 27 when x = -6?
A (-x)2 - 9
B (-2x)2 - 120
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Answer:

C

Step-by-step explanation:

i got C & D to both be -27 but I think I made a mistake in C w the negatives so I believe it is C.

I hope this helps, have a great day/ night :)

I need an example of a proportional relationship​

Answers

Answer:

if you want an equation... an example could be

y=3x+5

Step-by-step explanation:

Answer:

Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

pls give brainliest

A circular mirror has a radius of 6 inches what is the circumference of the mirror

Answers

Answer:

37.68

Step-by-step explanation:

pie = 3.14

3.14 x 2 = 6.28

6.28 x 6 = 37.68

Answer: 37.68

Step-by-step explanation:

SOLVE FOR X AND Y !! WILL GIVE BRAINLIEST

Answers

Answer:

x=21, y=17

Step-by-step explanation:

180-42= 138

2x+138=180

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Answer:

x=21, y=68

Step-by-step explanation:

We're given that the quadrilateral on the left is a parallelogram as indicated by the arrow markings on the sides. We're also told that the angle on the right is 42 degrees. So, we can find the bottom right angle in the parallelogram by subtracting 42 from 180, because it forms a straight angle. 180-42 is 138. By the alternate interior angles theorem, 8y+2=138, because 138 is also the angle measure of the opposite corner. we also know that the bottom left angle in the parallelogram is the same as 2x. by the alternate interior angles theorem. Notice how the sides of the parallelogram with two arrow markings are parallel, which means that the bottom left angle and the 42 degree angle are congruent, or have the same measure, because of the parallel lines. This means that 2x=42, and the bottom left angle is 42. We can solve for x and y with simple algebra now. 8y+2=138, 8y=138-2, 8y=136, y=68. 2x=42, x=42/2, x=21. So, x is 21 and y is 68.

A delivery company has 18 vehicles in its fleet.

It has 8 vans and 10 trucks.

All 18 vehicles are on the road every working day.

The company is reviewing its fuel expenses and therefore

gathers some information about each type of vehicle.

Average distance Average distance

Type of vehicle

travelled ber day (in km) travelled per litre (in km) All the vehicles use the

Van

198

9

same type of fuel at

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Truck

620

6.2

Use this information to work out the total fuel bill for 1 working day.

You must show all your working.

Answers

Answer: £1517.04

Step-by-step explanation:

The fuel expenses for the vans will be calculated as:

Vans:

Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:

= 198/9

= 22 litres

Since there are 8 vans, they'll use:

= 22 × 8 = 176 liters

Trucks:

Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:

= 620/6.2

= 100

Since there are 10 trucks, they'll use:

= 100 × 10 = 1000 liters

The amount of liters for both the van and the truck will be:

= 176 liters + 1000 liters

= 1176 liters

The fuel cost will then be:

= 1176 × 1£1.29

= £1517.04

How many 1 1/2 -pound loaves of bread can be made from 9 pounds of dough?

Answers

Answer:

6

Step-by-step explanation:

You divide 9 by 1 1/2.

Jefferson is plotting the vertices of an isosceles triangle on a coordinate graph. He has plotted the two points shown. Where would he plot the three point?

Answers

Answer:

4,2

Step-by-step explanation:

Answer:

It is 4, 2

Step-by-step explanation:

Trust me

x^3 + 5x^2 + 2x + 10 = 0

Answers

Let's solve your equation step-by-step.

x3+5x2+2x+10=0

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(x+5)(x2+2)=0

Step 2: Set factors equal to 0.

x+5=0 or x2+2=0

x=−5

Answer:

x=−5

I WILL GIVE BRAINLIEST PLS I NEED HELP, The scale drawing of a field in the shape of a triangle is shown below.
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Answers

Answer:

20

Step-by-step explanation:

Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per
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staying within her budget.
equation:
answer x=

Answers

Answer:

Equation : y = 4x + 55.50

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Step-by-step explanation:

Given that:

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Cost per gigabyte = $4

Let,

x be the number of gigabytes.

y be the total cost

y = 4x + 55.50

Lily wants to keep her bill $63.10

63.10 = 4x + 55.50

63.10 - 55.50 = 4x

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Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{7.60}{4}\\x=1.9[/tex]

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x = 1.9 gigabytes

Answer:

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Answer: x=1.9

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.


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453 acres

489 acres

509 acres

553 acres

Answers

Answer:

553 acres

Step-by-step explanation:

94010 ÷ 170 =553

Answer:

D

Step-by-step explanation:

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Answers

Answer:

√430 or 20.74

Step-by-step explanation:

√430

Prime factorize 430

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Please mark me Brainliest :)

An elevator can carry up to 2,500 pounds. Suppose the weight of an average adult is 150 pounds. At most how
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Answers

Answer:

16

Step-by-step explanation:

2500/150=16 2/3

but we dont want 2/3 of a person so just ignore that part

im in a hurry sorry

Answer:

16

Step-by-step explanation:

assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.

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Answers

Answer:

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Step-by-step explanation:

Answer:

because thay are the same problom

Step-by-step explanation:

3x4 is  12

Sarah used 3 pound of blueberries to make 1 cup of jam. How many pounds of blueberries would she need
42
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Answers

Answer:

126 pounds of blueberries

Step-by-step explanation:

1cup of jam=3pounds of blueberries

42cups of jam=?

42 X 3=126

Find the product of the
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Answers

Answer:

96 is the answer.

Step-by-step explanation:

The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4

We multiply 24 *4 we shall get 96 as the answer.

Answer:

24*4=96

Step-by-step explanation:

lcm of 8 and 12 is 24

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greater x =

Answers

Answer:

lesser x = -2

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So, finding the zeros:

[tex]5x^2 - 20 = 0[/tex]

[tex]5x^2 = 20[/tex]

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[tex]x = \pm 2[/tex]

So

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Answers

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Step-by-step explanation:

Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder y, but its height is three times the height of cylinder Y. The figures and have the same volume.​

Answers

I believe it’s y, but I’m not sure

Answer:

sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]

Step-by-step explanation:

a youth organisation collected nickels and dimes for a charity drive. by the end of the 1 day drive, the youth had collected $45.90. if there were four times as many dimes as nickels,how many of each type of coin was collected?​

Answers

Answer:

Ok Now this is Hard for me Lets Just Say That Its 1 each day if though its not the answer

Step-by-step explanation: anyway Nothing

A man needed to sell a car. He priced it at 3500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?

Answers

Answer:

Step-by-step explanation:b

2 - (7/8) - (3/4) i need help its hard :/

Answers

Answer:

0.375

Step-by-step explanation:

Answer:

The answer is  1 and 39/50

Step-by-step explanation:

Hope this Helps! :)

help! please look at the picture, the answer is needed quick the explanation doesn't matter. Thanks!​

Answers

Step-by-step explanation:

49

only the positive 49

hope this helps bro!!

Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No​

Answers

Answer:

No.

Step-by-step explanation:

For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.

Now we have two equations. y=x+z, and z=0.1x.

For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.

We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.

You pay $6.59 for 8 ounces of black pepper
What is the price in dollars per ounces?
dollars per ounce
How many ounces do you get for a dollar?
ounces per dollar.

Answers

Answer:

0.82375

Step-by-step explanation:

6.59 / 8 = 0.82375 oz / dollar

if correct, pls mark 5 star, thanks, and brainliest!

Bill drove 240 miles in 4 hours. On another day, he drove 480 miles in 8 hours. What is the constant of proportionality?

Answers

Answer:

12

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53

Answers

Answer:

Choice 3: AAS

Step-by-step explanation:

We can prove that by AAS that means we need two congruent angles and one congruent side.

The first angle will be the vertical pair <FBG and <DBC.

The second angle will be the alternate interior pair <G and <D.

The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].

9/45 how to simplify to it lowest term​

Answers

Answer:

1/5

Step-by-step explanation:

divide numerator and denominator by 9.

(Because that will go into both 9 and 45.)

9/45 = 1/5

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