The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!

The M&lt;1 Is 18 More Than Twice M&lt;2. Find M&lt;3. See Picture For Full Problem. Please And Thank

Answers

Answer 1
Answer:  126 degrees

====================================================

Explanation

x = measure of angle 1

y = measure of angle 2

x = 2y+18, since angle 1 is 18 more than twice that of angle 2

Assuming this is a parallelogram, the adjacent angles are supplementary. So,

x+y = 180

2y+18+y = 180

3y+18 = 180

3y = 180-18

3y = 162

y = 162/3

y = 54

This leads to,

x = 2y+18

x = 2*54+18

x = 108+18

x = 126

Note that x+y = 126+54 = 180

Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees

Answer 2

The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°

What is polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

The measure of angle 1 = 2 × The measure of the angle 2 + 18

Write an equation for the above statement,

x = 2y + 18

Here, x is a measure of angle 1 and y is the measure of angle 2,

As you can see from the figure it is a parallelogram then,

x + y = 180  (The sum of supplementary angle)

Solve the equation by elimination method,

y = 54, x = 2 × 54 + 18 = 126

The opposite angle of a parallelogram are equal,

Measure of angle 3 = Measure of angle 1 = 126

To know more about polygons:

https://brainly.com/question/10441863

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Related Questions


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51 units
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Find the unknown side (w) of the rectangular solid. Please help..

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Answer:

W= 2

Step-by-step explanation:

Please help I don’t understand please!!!

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Answer:

y>5.5

Step-by-step explanation:

4y+3>2y+14

Subtract 2y from both sides.

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Suppose the length and width of a 6 by 10 sandbox is doubled. Find the percent change in the perimeter. Find the percent change in the area

Answers

Answer:

it becomes a 12 by 20

Step-by-step explanation:

Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Food sells than those sold by Cat Caterers? Reduce your answer to lowest terms.

A. 1/2 lb
B. 5/8 lb
C. 1 5/8 lbs
D. 1 1/2 lbs

Answers

Answer: The answer for the question is: 1 5/8

Step-by-step explanation:

Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:30 tacos and 70 burritos

Step-by-step explanation:

inequality 1: y≤110−x shade down

inequality 2:y≥80− 1/2x Shade up

Answer (30,70)

HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!​

Answers

Answer:

So Jennys Jean store charges the higher rate.

Step-by-step explanation:

Jeanys Jean store

Cost/pair = 20/1 = $20 per pair

Jeans warehouse

Cost/pairs = 36/2 = $18 per pair

So Jennys Jean store charges the higher rate.

Complete the sentences below based on the graph of the function.

Please help!

Answers

Answer:

20 km20 km/h5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

  Sean's workplace is located 20 km from his home.

__

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

  (20 km)/(1 h) = 20 km/h

  Sean's speed driving to work was 20 km/h.

__

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

  (10 km)/(2 h) = 5 km/h

  Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

Additional comment

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

Fred makes $750 a week working 5 days .How much does he make in one day

Answers

Answer:

$150

Step-by-step explanation:

750/5 = 150

GUYS PLEASE HELP!!!

Answers

Answer:

C (5,4)

Step-by-step explanation:

(x,y)

fist number in the ordered pair is the X value

Second number in the ordered pair is the Y value

A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis

B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis

C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)

After doing all of these we see that C does not end up on the line

greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?

Answers

Answer:

No.

Step-by-step explanation:

To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:

300 / 5 = 60.

60 miles represents the speed for 1 hour.

60<70.

The inequality indicates that his rate (60 miles per hour) is less than the speed limit.

What’s the slope of a line that goes through (0,2)(7,5)

Answers

Answer:

slope = 3/7 or 0.43

Step-by-step explanation:

use the slope(gradient) formula

change 4700g into kg

Answers

Answer:

4.7 kilograms

Step-by-step explanation:

[ 1000 g = 1 kg ]

Change 4700g into kg,

→ 4700 ÷ 1000

→ 4.7 kg

Answer: 4.7 kg (divide by 1000)

Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer: To to find the percentage, you simply need to divide 45 by 60:

Step-by-step explanation:

45/60= .75

Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%

Answer:

75%

Step-by-step explanation:

To find the percentage of questions Darren got correct, first create a fraction.

question's correct/total question's so 45/60

Then, convert the fraction to a percent.

45/60 = 0.75 =75%

So, Darren got 75% of the questions correct.

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Solve for B: 19 (less than or equal too sign) B + 17

Answers

Here you go, the work is on the paper attached

Which of the following is a nonlinear function

Answers

Answer:

Linear functions are equations where the greatest power of the variable (typically x) is 1;

They are graphed as straight lines;

So, any function that has the following format:

f(x) = ax + b;

Nonlinear functions would be any equation that has a variable to a power greater than 1;

This could be a quadratic equation or an exponential equation

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?

Answers

Answers:

To reach the breakeven point, how many attendees will that take?     117  

What will be the company's total expenses and revenues?      $1755  for each  

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

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Answers

Answer:

a.7/4x

b.2/3c

Step-by-step explanation:

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Answers

Answer:

(9 ^ 3) x 0.04 (4/99)

Step-by-step explanation:

This seems overwhelming, but after simplifying, it will look much easier

Numerator (First Row)

First, we will combine like terms and simplify the top row

(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81

(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)

(9 ^ 2x) x 648

Denominator (Second Row)

Next, we can combine like terms and simplify the second row

(9 ^ x) x 66 - (9 ^ x - 2) x 243

(9 ^ x) - (9 ^ x - 2) x (66 x 243)

(9 ^ 2x + 2) x 16,038

Simplify

Our expression is now

(9 ^ 2x) x 648

(9 ^ 2x + 2) x 16,038

We can simplify it as

(9 ^ 3) x 0.04 (4/99)

12. Find the measure of the exterior angle.

Answers

Answer:

68

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

3x - 2 + 4x + 4 = 6x + 8 add like terms

7x - 2 = 6x + 8

7x - 6x = 8 + 2

x = 10

The measure of exterior angle

6x + 8 = 6*10 + 8

The measure of exterior angle is 68 degrees

deposited ​$7,500 into a savings account 5 years ago. The simple interest rate is 2​%. How much money did earn in​ interest?

Answers

Answer:

$750

Step-by-step explanation:

simple interest equation is:

I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)

I = 7500 x .02 x 5

I = 750

Identify the terms and like terms in the expression.3n+7−n−3

Answers

Answer:

n

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers.

the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach

Answers

Answer:

The ladder reaches [tex]15ft[/tex]

Step-by-step explanation:

In the first case we have

[tex]cos\theta =\frac{12}{15}[/tex]

In second case let the height be [tex]x[/tex]

We have

[tex]sin\theta =\frac{x}{25}[/tex]

We know that

[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]

Substituting

[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]

The ladder reaches [tex]15ft[/tex]

a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?

Answers

54 tiles.

9x12=108feet
6x4=24in
Convert 108 feet into inches which will become 1296 inches.

1296/24 will give u 54 tiles

Answer:

Step-by-step explanation:

12 inches per foot

The floor is 9(12) = 108 inches by

12(12) = 144 inches

The floor area is 108(144) = 15552 sq. In.

Each tile is 4(6) = 24 sq. in.

Need 15552/24 = 648 tiles

Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!

Answers

Answer:

your answer is the last option

Step-by-step explanation:

There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer

The answer is 58 hope this helps

Please help me with this math problem!! :) NO LINKS PLEASE!!

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Answer:

2 more

Step-by-step explanation:

you can only get 1 of everything 2 times

this is - the outfit she already made

3 - 1 = 2   - 1 = 1

7 - 1 = 6   - 1 = 5

4 - 1 = 3   - 1 = 2

2 - 1 = 1    - 1 = 0

Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?

How many trucks will Megan need to pack all 539 boxes? (show work )

Answers

Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.

Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.

539/22=24.5. Since there is a remainder, you will need 25 trucks total

I need help please:(

Answers

Answer: times

Step-by-step explanation:

a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed

Answers

Answer:

10π

Step-by-step explanation:

First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.

So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ

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Answers

Answer:1. (1,2)    2.(-1,0)

Step-by-step explanation:

1.  5x-4(-3x+5)=3  x=1             2. 3(2y-1)-2y=-3    y=0                                                  

y=-3x1+5    y=2 Plug them in                       X=2x0-1            x=-1       plug them in                

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