\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. \small m\angle L= degrees \small m\angle M= degrees

Answers

Answer 1

Answer:

[tex]L = 111[/tex]

[tex]M = 69[/tex]

Step-by-step explanation:

Given

[tex]L = 12x + 45[/tex]

[tex]M = 18x - 30[/tex]

Required

Determine L and M

Since both angles are supplementary;

[tex]L + M = 180[/tex]

Substitute values for L and M

[tex]12x + 45 + 18x - 30 = 180[/tex]

Collect Like Terms

[tex]12x + 18x= 180 - 45 + 30[/tex]

[tex]30x= 165[/tex]

Divide both sides by 30

[tex]x = \frac{165}{30}[/tex]

[tex]x = 5.5[/tex]

Substitute 5.5 for x in [tex]L = 12x + 45[/tex]  and    [tex]M = 18x - 30[/tex]

[tex]L = 12 * 5.5 + 45[/tex]

[tex]L = 111[/tex]

[tex]M = 18 * 5.5 - 30[/tex]

[tex]M = 69[/tex]


Related Questions

9 x 10' =
______________________

Answers

Answer:

9 x 10 = 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

9x1=9 then add the zero

=90

A robot can complete 8 tasks in
5
hour. Each task takes the same amount of time.

Answers

Answer:

if you're asking how long each task takes, it should take 37.5 minutes per task.

-9 blank =-14 what would fill in this blank

Answers

Answer:

-5

Step-by-step explanation:

Answer: -5

Answer if it is multiplication: 1.5555...(If it is additon don't pay attention to this answer)

Step-by-step explanation: -9 + -5 = -14.

Hello i need help with 3/4(x+2) =6

Answers

Answer:

X = 6.

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

since you want to solve for x, you want to get it by itself

to start, you want to try to get (x+2) by itself, and you can do this by multiplying both sides by the reciprocal of 3/4

[tex](\frac{4}{3}) \frac{3}{4}(x+2) = 6 (\frac{4}{3})[/tex]

since a number multiplied by its reciprocal is equal to 1, this leaves you with

[tex](x+2) = \frac{24}{3}[/tex]

[tex](x+2) = 8[/tex]

now, you can subtract 2 from both sides in order to get x by itself

[tex](x+2)-2 = 8-2[/tex]

[tex]x = 8-2=6[/tex]

and then you have your answer

x = 6

hope this helps :)

For which values of a the system has at least one solution: x≤7 x≥a urgent pls help now

Answers

Answer:

We have the system:

x ≤ 7

x ≥ a

Now we want to find the possible values of a such that the system has, at least, one solution.

First, we should look at the value of a where the system has only one solution:

We can write the 2 sets as:

a ≤ x

x ≥ 7

So, writing both together:

a ≤ x ≤ 7

if a is larger than 7, we do not have solutions.

then a = 7 gives:

7 ≤ x ≤ 7

Here the only solution is 7.

Now, if a is smaller than 7, for example 5, we have:

5 ≤ x ≤ 7

Now x can take different values, so we have a lot of solutions.

Then the restrictions for a, such that the system has at least one solution, is:

a ≤ 7.

erwfehaitdryefjk evg5rmd fhbc tg8

Answers

Answer:

this the answer 4.5m

Step-by-step explanation:

formula 1/2(a+b)h

9514 1404 393

Answer:

  18 square meters

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The bases are the parallel line segments, and the height is the perpendicular distance between them.

  A = (1/2)(7 m + 5 m)(3 m) = 1/2(12 m)(3 m) = 18 m^2

The area of the trapezoid is 18 square meters.

Melina graphed a line which passes through the points (-4, 2) and (6, 8). What is the slope of the line?

Answers

Answer:

The answer is

[tex] \frac{3}{5} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

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

From the question the points are

(-4, 2) and (6, 8)

The slope is

[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]

We have the final answer as

[tex] \frac{3}{5} \\ [/tex]

Hope this helps you

Mako's goal is to save $42. He currently has $2 and
plans to save $18 per week. Let x represent the
number of weeks Mako saves money.

Answers

Answer:

5 weeks its 40 divided by 8

Step-by-step explanation:

Find each of the following using prime
factorisation
(a)
[tex] \sqrt[3]{3375} [/tex]

Answers

Answer:

15

Step-by-step explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

[tex]\sqrt[3]{3375}[/tex]

= [tex]\sqrt[3]{3^3(5^3)}[/tex]

= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]

= 3 × 5

= 15

the answer would be 15

Which value has only 4 significant digits? a. 6.930 b. 8450 c. 0.392 d. 0.0450

Answers

Answer:

A 6.930

Step-by-step explanation:

4(2x + 9) = - 17+ 13

Answers

Answer:

x= -5

•use photomath it gives you answers to these kinds of math problems. hope this helped:))

1) Find the value of X if m < EDG= 112 degrees

Answers

Answer:

x = 12

Step-by-step explanation:

From the question given above, the following data were obtained:

m < EDG = 112°

m < EDH = 6x – 9

m < HDG = 4x + 1

x =.?

Thus, we can obtain the value of x as shown below:

m < EDG = m < EDH + m < HDG

112 = 6x – 9 + 4x + 1

112 = 6x + 4x – 9 + 1

112 = 10x – 8

Collect like terms

112 + 8 = 10x

120 = 10x

Divide both side by 10

x = 120/10

x = 12

Therefore, the value of x is 12.

There is a giant spinning wheel at a carnival. The wheel is numbered 1 to 12. Each section is the same size. The wheel is spun, and, if it stops on your number, you win a prize. Molly has numbers 2, 5 and 11. What is the probability that she wins a prize? Give your answer as a fraction in its lowest terms.

Answers

Answer:

3/12

=1/4

your answer is 1/4

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answr 3/12 explanation

what is the property of (4y+1)x 0=0

Answers

Answer:

lemme guess algebra test?

Step-by-step explanation:

A equivalent ratio of 3:7 is?
3:9
6:10
9:12​

Answers

Answer:

it is none of these options

Step-by-step explanation:

after multiplying it by 1,2 or 3 none of the option comes up

..

find If g(x) = x2 + 2, find g(3). 9 8 11 6

Answers

Answer: 11

Step-by-step explanation: replace x for 3 and solve.

Find the midpoint between the lake of points. Make sure to simplify all fractions

Answers

Answer: The midpoint  is MZ midpoint = (0.5,1)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)[/tex]

2 lines intersect. A horizontal line has points D, E, B. Line A C intersects that line at point E. Angle A E D is (x + 25) degrees and Angle A, E, B is (9 x + 10) degrees. What is the numerical sum of the degree measures of ∠DEA and ∠AEB? What are the numerical measures of the angles? x = m∠DEA = ° m∠AEB = °

Answers

Answer:

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

180

What are the numerical measures of the angles?

x = 14.5

m∠DEA = 39.5°

m∠AEB =  140.5°

Step-by-step explanation:

x + 25 + 9x + 10 = 180

Subtract 35 from both sides and you get,

10x = 145

The divide both sides by 10 and you get,

x = 14.5

To get the angle measurements you plug x back into the angle equations which in this case is 14.5.

It would look like,

m∠DEA = (14.5 + 25) = 39.5

and,

m∠AEB = (9 (14.5) + 10) = 140.5

The numerical sum of ∠DEA and ∠AEB  is 180°.

Numerical value of x is 14.5°.

Measure of ∠DEA is 39.5°.

Measure of ∠AEB is 140.5°.

What is Supplementary angles?If the sum of two linear angles is 180° then, they are known as supplementary angles.∠A + ∠B = 180°, (∠A and ∠B are linear angles.)

Given: Two lines intersect.

Points D, E and B lie on a horizontal line and point E is intersected by line AC.

∠DEA = x + 25

∠AEB = 9x + 10

Now, from the given information we can deduce that to obtain the angles ∠AED and ∠AEB, point E should lie in between points D and B.

Since, points D, E and B lie on the horizontal line, then the ∠DEA and ∠AEB should form the supplementary angles (Figure 1).

∠DEA + ∠AEB = 180°

⇒ (x + 25) + (9x + 10) = 180°

⇒ 10x + 35° = 180°

⇒ 10x = 145°

x = 14.5°

Now, we will substitute the value of x = 14.5° in the ∠DEA and ∠AEB, hence we get:

⇒ ∠DEA = x + 25°

⇒ ∠DEA = 14.5° + 25°

⇒ ∠DEA = 39.5°

Also,

⇒ ∠AEB = 9x + 10°

⇒ ∠AEB = 9 × 14.5° + 10°

⇒ ∠AEB = 130.5° + 10°

⇒ ∠AEB = 140.5°

Therefore, the numerical sum of the degree measures of ∠DEA and ∠AEB is 180°; The numerical measures of the angles is, x = 14.5°, m∠DEA = 39.5° and m∠AEB = 140.5°.

Learn more about the Supplementary angles here: https://brainly.com/question/13045673?referrer=searchResults

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Write the slope-intercept form of the equation:
7x + 5y = -35

Answers

Answer:

[tex]y=\frac{-7x}{5} -7[/tex]

Step-by-step explanation:

[tex]7x+5y=-35\\5y=-35-7x\\y=\frac{-35-7x}{5} \\y=-7-\frac{7}{5} x\\[/tex]

milo runs 4.5 miles around his house he has to run 6.7 miles how many miles does he have to run left

Answers

Answer:

2.2 miles

Step-by-step explanation:

6.7 - 4.5 = 2.2

Answer:

6.7 miles

Step-by-step explanation:

The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.

I hope this answers your question and you understand! Have a great rest of your day! :)

Convert 0.9285714 into a fraction

Answers

0.9285714 = 0.9285714/1
= 9.285714/10
= 92.85714/100
= 928.5714/1000
= 9285.714/10000
= 92857.14/100000
= 928571.4/1000000
= 9285714/10000000

And finally we have:
0.9285714 as a fraction=
9285714/10000000

or each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

Answers

Answer:

6=[tex]\frac{c}{2}[/tex]+1

Step-by-step explanation:

anderson's $6 per hour is one half of carey's hourly rate, plus one.

Answer:

A)

6 = c/2 + 1

Step-by-step explanation:

edg2020

I need help ASAP.

3+2-(6-(1+1)

Answers

Answer:

1

Step-by-step explanation:

3+2-(6-(1+1)

3+2-(6-2)

3+2-4

1

Answer:

1.

Step-by-step explanation:

i got confused me explaining it but I can verify the answer is 1.

An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.

a. Write a formula for the perimeter of the indoor track
P=

b. Solve the formula for x.
x=

c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round to the nearest foot.
x=____feet

Answers

Answer:

(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)

Ok, we have a rectangle of length x by r.

At the extremes of length r, we add two semicircles.

So the perimeter will be equal to:

Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).

The radius of the semicircles is r, and the perimeter of a circle is:

C = 2*pi*r

where pi = 3.14

Then the perimeter of the track is:

P = 2*x + 2*pi*r.

b) now we want to solve this for x, this means isolating x in one side of the equation.

P - 2*pi*r = 2*x

P/2 - pi*r = x.

c) now we have:

P = 660ft

r = 50ft

then we can replace the values and find x.

x = 660ft/2 - 3.14*50ft = 173ft

1.8 + 45 tenths = ___

Answers

Answer: 6.3

Step-by-step explanation:

1.8 + 45 tenths equal 6.3

what is -0.5m - 0.75 = 2.15

Answers

Answer:

m=5.8 or -29/5

Step-by-step explanation:

I used a calculator

m= -5.8 just add 0.75 to each side and then divide 0.5.

hello I have a question to ask.
A man's age today is three years less than four times the age of his oldest daughter. Let a represent the daughter's age. Write an expression to represent the man's age.​

Answers

let x represent the girls age. let y represent the man’s age.
y=4x-3

Simplify: 675 ÷ (6 + 9 ÷ 3)


Answers

The answer is 111.5 :) :-)

The simplified form of the given expression is 75.

The given expression is 675 ÷ (6 + 9 ÷ 3).

We need to simplify the given expression.

What is PEDMAS rule?

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction

Now, in the given expression simplify the bracket.

That is, (6 + 9 ÷ 3)=(6+3)

=9

Now, 675 ÷ 9=75

Therefore, the simplified form of the given expression is 75.

To learn more about the PEDMAS rule visit:

https://brainly.com/question/24086845.

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2 (4z-1)=3(z+2) simplify

Answers

Answer:

z=8/5

Step-by-step explanation:

2(4z-1)=3(z+2)

distribute the 2 and 3

8z-2=3z+6

move 2 to the other side by adding 2

8z=3z+8

move 3 to the other side by subtracting 3

5z=8

divide both sides by 5

z= 8/5

The equivalent value of the expression is z = 8/5 = 1.6

Given data ,

Let the equation be represented as A

Now , the value of A is

2 ( 4z - 1 ) = 3 ( z + 2 )

On simplifying the equation , we get

2 ( 4z - 1 ) = 3 ( z + 2 )

So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )

Opening the parenthesis on both sides , we get

2 ( 4z ) - 2 = 3z + 6

8z - 2 = 3z + 6

Subtracting 3z on both sides , we get

5z - 2 = 6

Adding 2 on both sides , we get

5z = 8

Divide by 5 on both sides , we get

z = 8/5

z = 1.6

Therefore , the value of z = 8/5 = 1.6

Hence , the expression is z = 8/5 = 1.6

To learn more about equations click :

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Your cell phone plan costs $34.99 per month plus $0.16 for each text message you send or receive. You have at most $42 to spend on your cell phone bill. What is
the maximum number of text messages that you can send or receive next month?
The maximum number of text messages is
HELP NOW PLEASE

Answers

Answer:

262.5 messages per month

Step-by-step explanation:

Cost of plan = $34.99

Cost per message = $0.16

Maximum bill = $42

Maximum # of messages = $42/$0.16 = 262.5

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