If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°

If MOK And JOM Are Supplementary Angles, Then What Is The Value Of X And MLOK? A. X = 130; MLOK = 66

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )

We are given that angle MOK and angle JOM are supplementary

Supplementary angles add up to 180

This means that:

angle MOK + angle JOM = 180

If angle JOM = angle LOK

Then angle MOK + angle LOK also = 180

If angle MOK = 66 and angle LOK = x + 64

Then 66 + x + 64 = 180

Note that we've just created an equation that we can use to solve for x

We now solve for x

66 + x + 64 = 180

Combine like terms

66 + 64 = 130

130 + x = 180

Subtract 130 from both sides

x = 50

We also want to find the measure of angle LOK.

To do so we simply plug in the value of x into x + 64

angle LOK = x + 64

x = 50

angle LOK = 50 + 64 = 114

So x = 50 and angle LOK = 114

Hence the answer is B


Related Questions

YO I NEED HELP PLEASE!!

1. The sum of 6 times a number n and 4 times a number n is -30.
What is the number?


2. Four less than the product of 6 and a number n is -30.
What is the number? _____


3. Four less than the product of 6 and a number n is -30.
What is the number? _____

Answers

Answer:

1. n = -3

6n + 4n = -30

10n = -30

n = -3

The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.

Answers

Answer:

I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.

Show that the statement is true. If JK has endpoints J(−2, 1) and K(4, 3), and LN has endpoints L(0, 3) and N(2, 1) then JK and LN have the same midpoint.

Answers

Answer:

yes they both have the same midpoint of (1,2)

Step-by-step explanation:

For the midpoint of JK

[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]

[tex](\frac{2}{2}, \frac{4}{2} )[/tex]

(1,2)

then for LN

[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]

[tex](\frac{2}{2}, \frac{4}{2} )[/tex]

(1,2)

My question is in the picture attached below, thank you.

Ps: I need full explanations of the answers as said by the instructions. Thanks

Answers

The volume of a rectangular prism is the product of the prism's dimension (i.e. length, width and height). The dimension of the rectangular prism are:

[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]

Given that:

[tex]Volume = (18x^4 + 15x^3 - 12x^2)[/tex]

First, we factor out [tex]3x^2[/tex]

[tex]Volume = 3x^2 \times (6x^2 + 5x - 4)[/tex]

Expand

[tex]Volume = 3x^2 \times (6x^2 + 8x-3x - 4)[/tex]

Factorize

[tex]Volume = 3x^2 \times (2x(3x + 4) -1(3x + 4))[/tex]

Factor out [tex]3x + 4[/tex]

[tex]Volume = 3x^2 \times ((2x -1) (3x + 4))[/tex]

Rewrite as:

[tex]Volume = 3x^2 \times (2x -1) \times (3x + 4)[/tex]

The volume of a rectangular prism is:

[tex]Volume = Length \times Width \times Height[/tex]

So; by comparison:

[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]

Read more about polynomials and volumes at:

https://brainly.com/question/2141804

A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.​

Answers

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

-5^2(3)-4(-6)
ILL GIVE YOU POINTS JUST SOLVE

Answers

the answer to this is -51

Answer:

The answer foe the problem is -51

Compare and order the numbers below from least to greatest.
4.6, 2.8, V7, V17,

Answers

Answer:

2.8, 4.6, V7, V17

i hope it help n im sorry i can't explain

A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle

Answers

Answer:

3x - 13

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.

(x-6) + (x+2) + (x-9)

Group:

x + x + x - 6 + 2 - 9

3x - 13

-8=x+ll/-2 solve for x step by step and answer

Answers

Answer:

x=(-5)/2

Step-by-step explanation:

-8×(-2)=-2x+11

16-11=(-2x)

x=(-5)/2

Y'ALL PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!

Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.

Show how you got your answers I can see if it makes sense!!!

Answers

I hope this helps!
Apologies that the photo of the actual notebook is a little small, trying to handle this app’s photo-taking capabilities is a little weird for me.

How to solve 3х/2+5/2= 7

Answers

Answer:

x = 3

Step-by-step explanation:

3х/2+5/2= 7

(3x+5)/2 = 7

3x+5 = 14

3x = 9

x = 3

what is 2x-9=5x+12 with the step by step

Answers

Answer:

x = -7

Step-by-step explanation:

Please view the detailed answer in the image attached

Answer:

[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]

Step-by-step explanation:

x = -7

Is -1 1/6 rational? HURRY

Answers

Answer:

yes

Step-by-step explanation:

since it can be expressed as a fraction, it is rational

Please help.Please show the formula,thanks.

Answers

Answer:

DE=6.3

Step-by-step explanation:

triangles are similar so, its sides and angles are comgruent.

side BC=side DE

side BC=6.3

side DE=6.3

Note:if you need to ask any question please let me know.

Find the Value of X

(please don't just give me a fake answer)

Answers

(6+4)/6=(x+1 +x)/(x+1)
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2


Jonathon can jog 2 2/7 miles in 2/8 hour. Find his average speed of miles per hour.

Answers

Answer:

9.14 miles an hour

Step-by-step explanation:

Rational number between 3.623623 and 0.484848​

Answers

Answer:

1

Step-by-step explanation:

A rational number between 3.623623 and 0.484848 is 1.

Answer:

Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:

0.5, 3/4, 1, 1.5...3, 3.5

Step-by-step explanation:

BRAINLIEST, PLEASE!

Which figure shows an example of symmetry?
A.
B.
C.
D.

Answers

A.

Both halves created by the line of symmetry are equal in diagram A.

Find the mode, median, and mean of each data set ( ASAP pls can someone help me )

Answers

Answer:

mean = 10.818181...

median = 10

mode = 5

Step-by-step explanation:

first put the numbers in order, smallest to largest

5 5 6 8 9 10 11 13 15 18 19

mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)

median = 10

mode = 5

solve using substitution
y = 3x - 4
3x + y = -4

Answers

y= 3x –4

3x + y = –4

3x + (3x –4) = –4

3x+3x – 4 = – 4

6x = – 4 +4

6x=0 —> x= 0/6 —> x=0

x = 0

y = 3x – 4 —> y = 3(0) – 4 = – 4

y = – 4

So; (x , y) —> (0 , – 4 )

I hope I helped you^_^

Answer:

(0,-4)

Step-by-step explanation:

3x + y = -4

3x + (3x - 4) = -4

3x + 3x - 4 = -4

6x = 0

x = 0

y = 3(0) - 4

y = -4

1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one less
than the integer. Find the integer algebraically using rational expressions.

Answers

Answer:

9

Step-by-step explanation:

Let the integer be n

According to the text

30 / (n + 1) = 24 / (n-1)

Cross multiply we have

30 (n -1) = 24 (n + 1)

30 n - 30 = 24 n +24

30n -24n = 30 + 24

6n = 54

n = 9.

So the integer is 9.

-6, 20, 4.3, 159/-9
Order from least to greatest

Answers

159/-9, -6, 4.3, 20

Katie is sending flowers to her friend for her birthday. The florist is selling lilies for $0.60 each and the delivery fee is $7.50. She has $16.50 to spend on the flowers. Write the equation to solve this.

Answers

Answer

16.50=0.6l+7.50

Step-by-step explanation:

L is for the amount of lillies

Evaluate the function.
f(x) = –22 +2
Find f(-1)

Answers

Answer:

Cant do this problem since there is no x variable. So the answer would be :

f(x) = -22+2

Step-by-step explanation:

Riley needs to make fruit punch for the family reunion. One batch of punch has the ingredients shown. if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?

Answers

Answer:

6 cups

hopes this help you

Given f(x) = 3x – 1, solve for x when f(x) = -7.

Answers

Answer:

x = -2

Step-by-step explanation:

Given f(x) = 3x – 1

f(x) = -7

3x-1 = -7

3x = -7+1

3x = -6

x = -2

Answer:

x = -22

Step-by-step explanation:

given:

[tex]f(x) = 3x - 1[/tex]

solve for x, when:

[tex]f(x) = -7[/tex]

replace x with -7

~~~~~~~~~~~~

➡️ [tex] x = 3(-7) - 1 [/tex]

➡️ [tex] x = -21 - 1 [/tex]

➡️ [tex]x = -22 [/tex]

An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.

How much paint is in each part?

Answers

Answer:

0.575 ounce

Step-by-step explanation:

Total paint

= Green paint + white paint

= 1.6 ounces + 1.85 ounces

= 3.45 ounces

Paint in each part if divided into 6 parts equally

= 3.45 ounces/6

= 345 ounces/600

= 23/40

= 0.575 ounce

The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

Amount of green paint = 1.6 ounces

Amount of white paint = 1.85 ounces

Total paint = 1.6 + 1.85 = 3.45

The ratio of green paint to total paint = 1.6/3.45 = 0.46

Now, this ratio must be maintained in each part after dividing it into 6 equal parts.

Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58

With the same ratio,

Green paint / Total paint = 0.46

Green paint / 0.58 = 0.46

Green paint  = 0.27 ounces

White paint = total paint - green paint

White paint = 0.58 - 0.27 = 0.31 ounces

Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

Write -0.450 as a fraction in simplest form.

Answers

Answer:

-0.450 as a fraction is -9/20

Step-by-step explanation:

Since there 3 decimal places, divide it by 1000

-450/1000 and simplify it

Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?

Answers

I think it should be 31.32 points, but 32 if you’re not supposed to count partial points and it has to be a whole number.

Sawyer has -$15.34 in his bank account. He does his chores at home and makes
$5.75. He deposits the money into his banking account. How much money does
Sawyer have now?

Answers

Answer Hi! you would do 15.34- 5.75

so do 75-34 =  41 and then 15- 5 = 10 so your anwser is -10.41 MAKE SURE ITS NEGTIVE

Step-by-step explanation:

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