\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

Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent

Answers

200 represents how much money was Initially put into the account

–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4

Answers

Answer:

0

Step-by-step explanation:

Given

- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression

= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]

= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]

= - 0.4(10) + [tex]\frac{12}{3}[/tex]

= - 4 + 4 = 0

0 also thanks for putting the whole thing most people don’t so it hard to understand lol

Solve the compound inequality. −5x≤−10 or 7x−21≥14

Answers

-5x ≤ -10

Divide both sides by -5

x ≥ 2

7x - 21 ≥ 14

Add 21 to both sides

7x ≥ 35

Divide both sides by 7

x ≥ 5

Those are the math questions I need the answers of ​

Answers

Answer:

1)

[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]

[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]

[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]

[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]

[tex]25\sqrt{2}[/tex]

2)

[tex]\frac{1}{5+2\sqrt{6}}[/tex]

Multiply [tex]5-2\sqrt{6}[/tex]:

[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]

Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]

[tex]\frac{5-2\sqrt{6}}{1}[/tex]

[tex]{5-2\sqrt{6}}[/tex]

a = 5, b = -2


[tex]2 + \frac{60}{( - 3)} - 5( - 2)[/tex]
Simplify please ​

Answers


Answer: -8

Step by step explanation:

2+60/-3+10

12-20

= -8

Directed line segment porque is shown on the coordinate plane. What are the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1)?

Answers

Answer: (2,3).

Step-by-step explanation:

We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).

Let the point be A.

[tex]PA:PQ=1:3[/tex]

[tex]PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2[/tex]

It means the point A divide the segment PQ in 1:2.

Section formula: If a point divide a segment is m:n.

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]A=\left(\dfrac{1(-2)+2(4)}{1+2},\dfrac{1(1)+2(4)}{1+2}\right)[/tex]

[tex]A=\left(\dfrac{-2+8}{3},\dfrac{1+8}{3}\right)[/tex]

[tex]A=\left(\dfrac{6}{3},\dfrac{9}{3}\right)[/tex]

[tex]A=\left(2,3\right)[/tex]

Therefore, the required coordinates are (2,3).

Is 0.35217534 a rational

Answers

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

--------------------------------------------------------------

0.35217534

It is a terminating decimal, which fits the third point.

So it is rational.

Hope this helps!! :)

Please Help!! 10 Points! Brainliest Answer

Answers

The correct answer is D because you already have one side and one angle that are equal so you need one more side

What is 4(5n+7)-3n=3(4n-9)
Simplified?

Please help this us due tomorrow and I’m stuck

Answers

20n + 28 - 3n = 12n - 27
5n + 28 = -27
5n = -55
n = -11

Find the value of n-7 when n=17.

Answers

Answer:

10

Step-by-step explanation:

17-7=10

Answer:

10

Step-by-step explanation:

f(x) = n - 7

f(17) = 17 - 7

f(17) = 10

Solve the literal equation cy−7=5d+3y for y.

y=

Answers

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.

Answers

Answer:

10.75 is the answer I think

The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine which submarine has the greater range of depths.

Submarine A Submarine B
Minimum Depth −146 ft −194 ft
Maximum Depth −532 ft −621 ft

Answers

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

2(y + 5) = 18 - 12
2y + 10 = 18 - 12
2y + 10 = 6
- 10 -10
2
22
y = -2
What is the name of this method ?

Answers

Answer:

Distributive property

4) How many km in
58,795cm?


Please help thanks!!

Answers

Step-by-step explanation:

1 km is equal to 100,000 cm.

58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.

Convert 58,795 to a decimal.

0.58795

The decimal cannot be simplified so there is

0.58795 km in 58,795 cm

Hope it helps!

What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth - my god someone please help I’ve been up all night and just need sleep :(

Answers

Step-by-step explanation:

using Pythagoras theorem

d}^{2} =4}^{2+7}^{2}

d}^{2}=16+49

d}^{2}=65

d}^{2}=√65

[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]

d=8.06 or 8

please answer this question for geometry

Answers

Answer:

D is the correct answer in 95% sure :)

What would a solution to h(t) = 0 mean in this situation?

Answers

Step-by-step explanation:

is this probability question

The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%

Answers

Answer:

The answer is 40.1%

Step-by-step explanation:

I just took the test

The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.

When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:

= (Correlation coefficient)² x 100%

= 0.633² x 100%

= 0.4007 x 100%

= 40.1%

In conclusion, 40.1% of the variation in salary can be explained by age.

Find out more at https://brainly.com/question/3560028.

Given the graph below, which of the following statements is true?
Ту
5
4
3
1 2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all X-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with
multileve

Answers

Answer:

it’s d on edg

Step-by-step explanation:

The equation which represents the graphed function is; y = (-1/3)x + 3

What is Equation of a line?

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

here, we have,

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

y = (-1/3)x + 3

Read more on equation of a line;

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If m CGD=4x+2, m DGE=3x-5, m EGF=2x+10, find the following measures.

Answers

It means we need to find degree or x

R is in between P and S. PR = 15.5 mm, RS = 13.3 mm. Find PS

Answers

Answer:

28.8mm

hope this helped you

please mark as the brainliest (ㆁωㆁ)

In the Caribbean Sea, there are 15 yachts, 32 sailboats, and 8 trawlers. What fraction of the boats are sailboats?

Answers

Answer:

32/55

Step-by-step explanation:

You have to get the total number of boats first :

15 + 32 + 8 = 55

out of the 55 boats, 32 are sailboats

the fraction would be :

32/55

Hope this helps :)

Which of the following is equivalent to the given equation 7x2 = 98x - 343
a
(x+4)(x-3)
(x-7)
b
(x-6)(x+7)
d

Answers

Answer:

(x-7)

Step-by-step explanation:

i guessed and got it right

(25 X 43) + (25 x 57) =​

Answers

Answer:

2500

Step-by-step explanation:

Step 1:

( 25 × 43 ) + ( 25 × 57 )

Step 2:

1075 + 1425

Answer:

2500

Hope This Helps :)

HELP I WILL GIVE BRAINLIEST I NEED ANSWER ASAP!!!

Mr. Green wants to know how far he can run. He knows he can run 103,000 mm. How many miles can he run? Show all work if you want to receive credit.

I know the answer is 0.064 miles but I need the work!! help please

Answers

Answer:

1 Mile = 1609000  mm.

1.03 × 10^5 × 6.21371192237337 = 0.064 mile

103000 /1609344= 103000 mm.

Step-by-step explanation:

The beginning process is just to find the amount that mm = miles. After that you will move the decimal to then get 0.064 of a mile.

103,000 mm is 0.064 miles

So he can run 0.064 miles.

Given,

He can run = 103,000 mm

We need to find how many miles he can run.

How many mm in a mile?

1 mile = 1609344 mm

Find how many miles is 103,000 mm.

We have,

1 mile = 1609344 mm

Multiplying both sides by 103,000

103,000 x 1 mile = 103,000 mm x 1609344

Divide both sides by 1609344

( 103,000 x 1 mile ) / 1609344 = (103,000 mm x 1609344) / 1609344

0.064 miles = 103,000 mm

This means 103,000 mm is 0.064 miles.

Thus 103,000 mm is 0.064 miles

Learn more about the conversion of meters and millimeters here:

https://brainly.com/question/14699264

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Ronald is trying to reconstruct his spending pattern from May. He knows that he had $315 in his account on May 1, but after that, his receipts and balance statements are all scrambled. Here are Ronald’s records: Date Transaction Type Amount ($) 5/25 Purchase 66 5/18 Purchase 90 5/30 Purchase 188 5/24 Deposit 151 5/22 Purchase 152 5/8 Deposit 104 5/3 Purchase 175 5/6 Purchase 82 Assuming that this is a complete, if scrambled, record of Ronald’s May spending and that any overdraft fees incurred do not affect the running total, how many times did Ronald overdraw his account in May? a. Ronald never overdrew his account. b. Ronald only overdrew his account once. c. Ronald overdrew his account twice. d. Ronald overdrew his account more than twice. Please select the best answer from the choices provided A B C D

Answers

Answer: C. Ronaldo overviewed his account twice.

Step-by-step explanation:

Just took a test on edge.

If ST has endpoints S(-6, -1) and T(0, 1), then the midpoint M of ST lies on the x-axis.
SOMEONE PLEASE HELP!!!

Answers

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

What is a midpoint?

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

To know more about Midpoint

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The height of Dougal is 1.84 metres. The height of Seb is 1.7 metres. Write the height of Dougal as a fraction of the height of Seb. Give your answer in its simplest form. Write your fraction in the form a / b eg * 19/16 would be 19/16

Answers

Answer:

No se bro suerte con eso V:

Step-by-step explanation:

You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?

Answers

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

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