LAST ONE \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle

LAST ONE \small \angle L And \small \angle M Are Supplementary, \small M\angle L=12x+45 And \small M\angle

Answers

Answer 1

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]


Related Questions

4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!

Answers

Step-by-step explanation:

4ˣ + 2¹⁺²ˣ = 50

Rewrite 4 as a power of 2.

2²ˣ + 2¹⁺²ˣ = 50

Factor out 2²ˣ.

2²ˣ (1 + 2) = 50

2²ˣ = 50/3

Take log of both sides.

ln(2²ˣ) = ln(50/3)

Use exponent property.

2x ln 2 = ln(50/3)

Solve for x.

x = ln(50/3) / (2 ln 2)

Simplify.

x = ln(50/3) / (ln 4)

x ≈ 2.03

Reduce the fraction into simplest terms. 9/12

Answers

Answer:

3/4

Step-by-step explanation:

divided by 3 to get the answer.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

9 can also be written as 3×3 & 12 can also be written as 3×4.

So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.

[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]

The radius of a circle is 4.8cm. What is the diameter?

Answers

Answer:

9.6cm

Step-by-step explanation:

Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.

4.8*2=9.6

Diameter=9.6cm

The area of a rectangle is 136 square centimeters. The
rectangle is 8 centimeters wide how long is the rectangle

Answers

Answer:17

Step-by-step explanation: count 8, 17 times and that is how you get your answer

The length of the rectangle is 17 cm if the area of a rectangle is 136 square centimeters.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that:

The area of a rectangle is 136 square centimeters.

A  = 136 square cm

w = 8 cm

A = lw

136 = 8l

l = 17 cm

Thus, the length of the rectangle is 17 cm.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

C(-3,-1), Q(-2,3)
Find the distance between each pair of points

Answers

Answer:

The answer is

[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(-3,-1), Q(-2,3)

The distance between them is

[tex] |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...[/tex]

We have the final answer as

[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]

Hope this helps you

4.2 units ! Is your answer

6x – 3y = 36 find ySolve the equation below for y.

Answers

Answer:

y = 2x -12

Step-by-step explanation:

6x – 3y = 36

Subtract 6x from each side

6x-6x – 3y =-6x+ 36

-3y = -6x +36

Divide by -3

-3y/-3 = -6x/-3 +36/-3

y = 2x -12

What is the equation of the line with slope of – 5 and passes through (2, – 3)?

Answers

Answer:

y = -5x + 7

Step-by-step explanation:

Graph has a slope of -5, which is the gradient

y = -5x + c

To find c you have to sub in the point (2, -3)

-3 = -5(2) + c

-3 + 10 = c

c = 7

Hence equation is:

y = -5x + 7  

Find an equation of the line that passes through the points (3,-2) and (-7,6).

Answers

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

Answer:

y = -0.8x + 0.4 or

y= -4/5x + 2/5

Step-by-step explanation:

Simplify 9x + 4(x + 2) - 5:

Answers

The answer is 68
Instructions: follow the bedmas rule of solving.

Answer:

Step-by-step explanation:

9x+4x+8-5

=13x+3

Solve for x: 6x−8=8x−6

Answers

x=-7 that's the answer
add 6 to both sides making it 6x-2=8x then subtract 6x from both sides and get -2=2x then divide both sides by 2 and you’ll get -1=x

The perimeter of a rectangle is 96 feet. The
length is twice the width. What is the length?

Answers

Answer:

Step-by-step explanation:

THE LENGTH OF THE RECTANGLE IS SIX LESS THAN TWICE THE WIDTH. FIND THE DIMENSIONS OF THE RECTANGLE. W=18 FOR THE WIDTH. 2*18-6=36-6=30 FOR THE LENGTH. (sorry caps)

The length is 30 because the width is 18. So 2•18-6=36-6=30

A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. If necessary, round to two decimal places. Group of answer choices

Answers

Answer:

435.73 revolutions per minute

Step-by-step explanation:

Find the circumferance of the wheel.

27 times π which is 84.823 inches

divide that by 12 to get it into feet, 7.061 feet

Divide by 5280 to get that to miles, 0.001 miles

Divide 35 by 60 to get how many miles per minute the car travels, 0.583

Divide your miles per minute by the diameter of wheel

Your answer will be 435.73 Revolutions per Minute

The elevation of an airplane changes by-420 feet in 12 seconds. What is the change in the airplane's elevation each second?

Answers

Answer:

-35 feet each second

Step-by-step explanation:

Divide -420 by 12:

-420/12

= -35

So, the change in the plane' elevation is -35 feet each second

Answer:

-35 feet per second

-420/12 = -35

Kora uses the following ingredients to make 111 s'more.
Ingredient Amount
Graham crackers 222
Chocolate squares 888
Marshmallows 333
How many s'mores can Kora make if she has 202020 graham crackers?

Answers

she can make 10 s'mores.

Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?

a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4

Answers

Answer:

a

Step-by-step explanation:

y-2/x+3= -4

-4x-12=y-2

y=-4x-12+2

y=4x-10

Alex rolls a six-sided number cube 570 times. Approximately how many times can he expect to roll a 5?

Answers

Answer:

95 times

Step-by-step explanation:

Probability of rolling a 5 =1/6

So no. of times 5 is expected when the number cube is rolled out 570 times = 570*1/6 = 95 times

1)First determine the probability of rolling a 5

2)Since you can only roll a 5 once in a 6-sided cube the probability is ⅙ or about 0.1667

3)Multiply the probability and the total number of rolls

.1667 * 570= 95

Answer : 95 times

(-1,2), (-1,-5) can you solve this for me

Answers

Answer:

Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.

the slope would be x=-1 and it would be vertical

Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles

Answers

Show a picture of the question

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices? Solve using unit rates.

Answers

Answer:

63 miles

Step-by-step explanation:

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?

2 track practices = 18 miles

7 track practices = y miles

Cross Multiply

2 track practices × y miles = 18 miles × 7 track practices

y miles = 18 miles × 7 track practices/ 2 track practices

y miles = 63 miles.

Therefore, Bonnie will have run 63 miles after 7 track practices

Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la tercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?

Answers

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:45.. good luck:)

Step-by-step explanation:

It’s d .... you do length times width times height

PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK

Answer:

45

Step-by-step explanation:

If you just take the length (3)

and the width (5)

and multiply them it'll give you 15

then multiply that by the height(3)

and thats how you get 45!

I will give brainliest!!!! Which expressions are equivalent to j+j+2k? Choose all answers that apply: (Choice A) A 2jk (Choice B) B 2(j+j+k) (Choice C) C None of the above

Answers

Answer:

The Answer Is C

Answer:

CHOICE C.

Step-by-step explanation:

They are not like terms, so they can't be added up.

Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour

Answers

Answer:

1/3

Step-by-step explanation:

are x and 12x like terms plz i need this!

Answers

Yes.

You can add them together to get 13x.

because you can add them together, they are alike terms.

0= -5/4(x - 6/5) find the solution to x

Answers

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

5 x + (6 - 6) = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

5 x = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

Hint: | Any nonzero number divided by itself is one.

5/5 = 1:

Answer: x = 6/5

What is 0.007826 converted to scientific notation

Answers

7.826 x 10^-3 ( 10 to the negative 3rd power)

Answer:

7.826 • 10^-3

Step-by-step explanation:

the decimal is moved 3 places to the right in order for there to be a digit in the ones place

because decimal is moved right, the exponent must be negative

Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..

How far away from home is he after a half hour?

Answers

The answer to this question is 2.

Hi there!

Your answer to this question would be, B) 2 miles.

Happy to Help!

how does slope affect a linear graph??

Answers

Answer:

With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.

hope this helps

Step-by-step explanation:

In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.

Answers

Answer:

(x-1)!

Step-by-step explanation:

lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!

18/40 in it's simplest form​

Answers

Answer:

9/20

Step-by-step explanation:

I guess I was help full for u

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