The ratio of the measure of three angles of a triangle is 2:3:10. Find the measure of the largest angle.

Answers

Answer 1

Answer:

The measure of the largest angle:

120°

Step-by-step explanation:

The sum of the internal angles of a triangle = 180°:

2 + 3 + 10 = 15

then:

180/15 = 12

then, the measure of the largest angle:

10 * 12 = 120°

Answer 2

Answer:

120 degrees

Step-by-step explanation:

Let the constant of proportionality between the angles of the given triangle be x.

Hence,

The Measure of The First Angle = 2x

The Measure of The Second Angle = 3x

The Measure of The Third Angle = 10x

The Angle Sum Property Of A Triangle says that the sum of all angles of any triangle is 180.

Hence,

[tex]2x+3x+10x=180\\15x=180\\x=180/15\\x=12[/tex]

As the Constant Of Proportionality obtained is 12

Hence,

The Measure of The First Angle = 2*12 = 24

The Measure of The Second Angle = 3*12 = 36

The Measure of The Third Angle = 10*12 = 120

As The Third Angle is the largest, its measure is 120.


Related Questions

a linear graph passes through the point (6,4) and has a slope of 1/3 what is the x-intercept of the graph?

Answers

Answer:

74

Step-by-step explanation:

Mike got 31 out of 50 for a test.
The pass mark is 60%.
Did Mike pass the test?

Answers

Answer:

Yes Mike passed the test.

Step-by-step explanation:

31/50 is equal to 62% which is higher than the needed mark to pass.

Answer:

Yes

Step-by-step explanation:

Change denominator to 100 by multiply both denominator and numerator by 2, so 31*2= 62, so he passed the test.

What is a fraction form of 1.40?

Answers

1 2/5

Hope this helps :)

Which is the best estimate for the percent equivalent to StartFraction 3 Over 8 EndFraction?

Answers

Answer:

The answer is 38%.

What is the best estimate of the quotient of 118.6 ÷ 29

Answers

Answer:

4.1

Step-by-step explanation:

The quotient id the output of the value when 29 is divided by 118.29

On dividing;

118.6/29 = 4 + {26/29}

4 + {26/29} = 4 + 0.08966

4 + 0.8966 = 4.08966

Hence the best estimate will be the estimate of the value to the nearest one decimal place and that is 4.1.

which algebraic of an transformation on a coordinate grid does not preserve congruence

Answers

Answer:

rotation

Step-by-step explanation:

There are 3,072 books in the school library. If 96 students team up to read all the books and each student reads the same number of books, how many books will each student need to read? *

Answers

Answer:

32

Step-by-step explanation:

Equivlency:

3072/96 =32

what fraction of 5 liter is 1500 ml​

Answers

I think the answer is 1.5/5

Find the slope of the line
y = 9/4x - 9/2

Answers

Answer:

The slope is 9/4.

Step-by-step explanation:

In the equation y=mx+b, the slope is m. In you're case, the m=9/4.

Mr. Hawkins is covering a wall with
wallpaper. The room measures 14 feet by 12
feet in a rectangular shape. Each square foot
of wallpaper costs $2.90. What is the cost of
adding wallpaper to the room

Answers

Answer:

The total cost of adding wallpaper to the room is $487.20

Step-by-step explanation:

Basically, how I got the answer is:

1. The shorter sides of the rectangle are 12 and the longer sides are 14.

2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.

3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.

Hope this helps! :)

The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.

The formula to find the area of a rectangular shape is,

Area of a rectangular shape = Length × Width

Given that,

Length of the wall = 14 feet

Width of the wall = 12 feet

Substituting the given measurements to the formula, we get,

Area of the wall = 14 × 12 = 168 feet²

Also, given that,

Cost for each square foot of wall = $2.90

Cost for 168 square feet = $2.90 × 168

                                        = $487.20

Hence the total cost for adding wallpaper to the room is $487.20.

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A pre-algebra book is 8 1 half inches by 9 1 fourth inches. Determine the perimeter of the textbook.

Answers

Answer:

Rectangular book--

two 8 1/2 sides

two 9 1/4 sides

8 1/2*2=17

9 1/4*2=18 1/2

17+18 1/2= 35 1/2

The perimeter of the textbook is 35 1/2 inches or 35.5 inches.

-this is not mine btw creds to sunflowerem :))

c) (2x3 + 5x2 - 4x – 5) ÷ (2x + 1) calculate using long division

Answers

Nech sa páči dúfam že pomôže

Can you help me find x and y intercept?
I dont understand how to do it.​

Answers

Answer:

The y-intercept is where the line crosses the y-axis, and the x-axis is where the line crosses the x-axis. For example, the y-intercept for Line A is 2 because it crosses the y-axis at (0,2) on the coordinate plane.

Step-by-step explanation:

Answer: y= 12 and x= is a value

Step-by-step explanation:

x=2+7=x

y= 7+5=y which is 12

what is (-2³)-2. PLEASE I NEED LOTS OF HELP. I BEG YOU

Answers

Answer:

-10

Step-by-step explanation:

-2³-2=-8-2=-10

2³= 8 = 2×2=4×2=8

Here’s the answer w steps :)

PLEASE HELP!
The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially. How many grams of the substance are left after 300 years?
a) 5039.684g
b) 2828.427g
c) 3000g
d) 2000g

Answers

Answer:

B) 2828.427g

Step-by-step explanation:

Hope this helps!

The answer is B hope I helped

Raymond drove from San Antonio to Dallas in 5.2 Hours. It is 390miles from San Antonio to Dallas. If Raymond drove at a constant rate of speed, and did not stop on the trip, how fast was Raymond driving?

Answers

Answer:

75 mph

Step-by-step explanation:

The speed of Raymond from San Antonio to Dallas is given by S = 75 mph

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Raymond from San Antonio to Dallas be S

Let the distance between San Antonio to Dallas be represented as D

Now , the value of D = 390 miles

Let the time taken for Raymond to travel D miles be T = 5.2 hours

Now , the speed is = Distance / Time

On simplifying , we get

The speed of Raymond from San Antonio to Dallas S = D / T

The speed of Raymond from San Antonio to Dallas S = 390 / 5.2

The speed of Raymond from San Antonio to Dallas S = 75 mph

Hence , the speed is 75 miles per hour

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Which scenario could be represented by this graph?

a. Randy turns the oven off. After heating his food for 10 minutes, he turns the oven off. The a-axis represents time; the y-axis represents the oven temperature.

b. Randy places a thermometer inside a beaker of water and brings it to a boil. When the water begins boiling, he turns off the heat and waits until the water returns to room temperature. The x-axis represents time; the y-axis represents the temperature reading.

c. Randy turns off the oven. After the oven returns to room temperature, he waits 10 minutes and then turns the oven back on. The x-axis represents time; the y-axis represents the oven temperature

d. Randy place is a thermometer inside a beaker of water and brings it to a boil. the x-axis represents time; the y-axis represents the temperature reading

Answers

Answer:

The answer is C

Step-by-step explanation:

When he turned the oven off the temperature dropped. Then is stayed at a steady 0° until he turned it back on, causing the graph to move up again because the temperature rose.

Answer:

The answer is C

Step-by-step explanation:

When he turned the oven off the temperature dropped. Then is stayed at a steady 0° until he turned it back on, causing the graph to move up again because the temperature rose.

which points are separated by distance of 6 units?
A. (1,3) (6,3)
B. (7,2) (1,2)
C. (8,1) (1,1)
D. (5,6) (4,6)​

Answers

i think it’s b! i hope that helps!

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. As the size of a sample​ increases, the mean of the distribution of sample means increases.

Answers

Answer:

False

-As the size of the sample increases, the mean of the distribution of sample doesn't change.

Step-by-step explanation:

From central limit theorem, as the size of a sample size increases, the sample mean and sample standard deviation will be far much more closer in value to the population mean(μ) and standard deviation(σ).

Thus, as the size of the sample increases, there will be no changes to the mean of the distribution of the sample mean.

Expand the expression.

t(–1.2w + 3)

Answers

Answer:

-2.5

Step-by-step explanation:

srry if I'm wrong...........

The expression t(–1.2w + 3) can be expanded as -1.2wt + 3t.

What is an expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given expression,

t (-1.2w + 3)

Using distributive property

-1.2wt + 3t

Hence, -1.2wt + 3t is the expanded form of the expression t(–1.2w + 3).

Learn more about expressions here:

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A cylinder has a height of 9 inches and a diameter of 12 inches. What is its volume?

Answers

Answer:

The volume of the cylinder is 4071.5

May I have brainliest please? :)

What are the X and y intercepts?

Answers

Answer:

2,1

Step-by-step explanation:

0,2 maybe? Those are the coordinates in which it meets a point.

Plz help I don’t under stand how to get this common ratio

Answers

Answer:

2 over 5

Step-by-step explanation:

Common ratio =

7/ (35/2) = (14/2) / 7

Our answer became 2/5

Is the sum positive negative or zero without adding -8+20

Answers

Answer:

positive

Step-by-step explanation:

-8+20 will have a positive sum because the positive number 20 is greater than the negative number 8

Answer:

Positive

Step-by-step explanation:

Without adding you can tell wether a number is positive or negative with addition because it is basically a number line. Think of subtracting -8 from 0 which would give you -8. Now add 20 to it causing it to get out of the negatives and become positive.

HELP PLZZZZZ ASAP
What is the new price of a clock that is on sale for 25% off the original price of $30.00?
$25.00
$22.50
$23.50
$7.50

Answers

Answer: $22.50

Step-by-step explanation:

25% of 30 = 7.5

30 - 7.5 = 22.50

Answer:

$22.50

Step-by-step explanation:

$30.00 x %25 or .25 = $7.50

$30.00 - $7.50 = $22.50

Helene invested a total of $1,750 in two simple-interest bank accounts. One account paid 4% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $82. Find the amount invested in each account.

Answers

Answer:

The amount invested in the account paid 4% is $1150

The amount invested in the account paid 6% is $600

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

P is the amount investedr is the rate in decimalt is the time

∵ Helene invested a total of $1,750 in two simple-interest bank accounts

P1 + P2 = 1750 ⇒ (1)

∵ One account paid 4% annual interest

r1 = 4% = 4/100 = 0.04

∵ The other paid 6% annual interest

r2 = 6% = 6/100 = 0.06

∵ The total amount of interest she earned after 1 year was $82

I1 + I2 = 82 ⇒ (2)

t = 1

I1 = P1 × (0.04) × 1

I1 = 0.04 P1

I2 = P2 × (0.06) × 1

I2 = 0.06 P2

→ Substitute them in equation (2)

0.04 P1 + 0.06 P2 = 82 ⇒ (3)

Now we have a system of equations to solve it

→ Multiply equation (1) by -0.06 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -0.06(P1) + -0.06(P2) = -0.06(1750)

-0.06 P1 + -0.06 P2 = -105 ⇒ (4)

Add equations (3) and (4)

∵ (0.04 P1 + -0.06 P2) + (0.06 P2 + -0.06 P2) = (82 + -105)

∴ -0.02 P1 + 0 P2 = -23

∴ -0.02 P1 = -23

→ Divide both sides by -0.02

P1 = 1150

→ Substitute the value of P1 in equation (1) to find P2

∵ 1150 + P2 = 1750

→ Subtract both sides by 1150 to find P2

P2 = 600

The amount invested in the account paid 4% is $1150

The amount invested in the account paid 6% is $600

algebra 1 please help​

Answers

Answer:

that seems hard

Step-by-step explanation:

i cant see the pic tho

A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at dilferent
times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best-fit line is y = 73.6 --
67.8x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Which of the following statements are true? Select all that apply.
The distance from the retailer decreases with time.
The distance from the retailer increases with time.
OOOOO
The distributor is 73.6 miles away from the retailer
The distributor is 678 miles away from the retailer
The truck is traveling at a rate of 67.8 miles per hour.

Answers

Answer:

B. The distance from the retailer decreases with time, D. The distributor is 73.6 miles away from the retailer, E. The truck is traveling at a rate of 67.8 miles per hour.

Answers: B, D, E.    

Step-by-step explanation:

I need help with this ​

Answers

Answer:

the answer is c and maybe b and aslo maybe a also maybe d

Step-by-step explanation:

hahah  I hope this help but it is b b is the correct answer

Please help ASAP Due in 1 hour!!! Marking Brainliest!!!

Answers

Answer:

the answer is d

Step-by-step explanation:

a function is where you have 1 output for every input so you can't have an x value with 2 different outputs

Answer: I’m sure it’s D

Step-by-step explanation:

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