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

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Answers

Answer:

q = 4p - 32

Step-by-step explanation:

P = 1/4q + 8

Making q the subject

P - 8 = 1/4q

Divide both sides by 1/4

q = (p - 8) ÷ 1/4

= (P - 8) × 4/1

= 4p - 32

q = 4p - 32

A store display shows two red shirts, four blue shirts, and

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Answer:

The probability is 3/5

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

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So

12/20 = 3/5

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Answer: If you're talking about fractions, then it's 2/3.

Step-by-step explanation:

Step one is to divide.  Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.  And you should get your answer.

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Combine m terms (including signs in front)
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4m+8

Step-by-step explanation:

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hi

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Answer:

you have the answer right

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

2.5 percent chance

Step-by-step explanation:

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The y-intercept is 0.

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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The set is formed by months of year with indexes larger than 0 and lesser than 12.

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10.

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one of three treatments: watching 20 minutes of a Hollywood action movie (The Island), watching the same 20-minute excerpt of the movie with no sound, and watching 20 minutes of an interview program. While watching, participants were given snacks (M&M’S®, cookies, carrots, and grapes) and allowed to eat as much as they wanted. Subjects who watched the highly stimulating excerpt from The Island ate 65% more calories than subjects who watched the interview show. Participants who watched the silent version of The Island ate 46% more calories than those who watched the interview show.36 Identify the explanatory and response variables in this study. Then determine if it is an experiment or an observational study. Explain your reasoning.

Answers

Answer:

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Step-by-step explanation:

Reference angle = <BCA = C

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

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What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problem

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

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y = (-1/20)x + 20

y = - (1/20)x + 20

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y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Equation Solving

Given the equation

[tex]\displaystyle l=\frac{gT^2}{4\pi^2}[/tex]

It's required to solve it for g. Let's swap sides of the equation:

[tex]\displaystyle \frac{gT^2}{4\pi^2}=l[/tex]

Multiply by [tex]4\pi^2[/tex] to remove the denominator:

[tex]\displaystyle gT^2=4\pi^2l[/tex]

Divide by [tex]T^2[/tex]

[tex]\boxed{\displaystyle g=\frac{4\pi^2l}{T^2}}[/tex]

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orrect:

Answers

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Answer:

34/5, 6 4/5

Step-by-step explanation:

1 1/5 = 6/5

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Answers

Answer:

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Step-by-step explanation:

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Can someone help? Thank you

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Answer : B

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Which inequality is equivalent to -6x>30

Answers

Answer:

x > -5

Step-by-step explanation:

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