the angles of a triangle are described as follows: angle a is the largest angle; it measure is twice the measure of Angle b. The measure of Angle C is 10 more than one-third of angle B. Fins the measurements of the three angles in degrees.
(Angles in a triangle add up to 180 degrees.)

Answers

Answer 1

Answer:

Angle A = 102°

Angle B = 51°

Angle C = 27°

Step-by-step explanation:

angle A = 2b

angle B = b

angle C = 1/3 b + 10

Angle A + Angle B + Angle C = 180

2b + b + 1/3 b + 10 = 180

3 1/3 b + 10 = 180

10/3 b = 170

b = 51

a = 2b = 102

c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27


Related Questions

Joylin's work to solve a math problem is shown below. Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library? Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h What was Joylin's first error?

Answers

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

She switched the divisor and the dividend when creating an equation to model the problem in step 1.

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

She multiplied the two numerators and the two denominators to generate her product in step 3.

She reduced the improper fraction incorrectly when getting her final answer.

5/16 = 1/3h

Correct steps

Step 1:

h = 5/16 ÷ 1/3

Step 2:

h = 5/16 × 3/1

Step 3:

h = (5*3) / (16*1)

= 15/16

h = 15/16

Incorrect steps:

Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h

5/16 ÷ 1/3 = h

Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h

16/5 × 3/1 = h

Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h

48/5 = h

9 3/5 = h

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2  

Step-by-step explanation:

please give me brain list, please

Answers please quickk

Answers

1. addition
2. subtraction
3. division

Answer:

Step-by-step explanation:

1 is addition

2 is subtraction

3 is division

in word for, 5.004 is ____. five thousand, four five and four hundredths five and four thousandths five, four hundredths

Answers

Answer:

In word form, 5.004 is five and four thousandths.

Step-by-step explanation:

The part to the left of the decimal is simple - it's just five.

The part to the right of the decimal is a bit more complicated. The digit one place to the right of the decimal is the tenths place. The digit to the right of the tenths place is the hundredths place. The digit to the right of the hundredths place is the thousandths.

With that in mind, you should find that the number 4 is in the thousandths place. So, your answer is five and four thousandths.

Hope this helped!

Which of the following expressions is equal to 2x^2 +8?
A. (2x - 4i)(x-2i)
B. (2x-4i)(x+2i)
C. (2x-2i)(x+6i)
D. (2x +4i)(x+2i)​

Answers

Answer:

i think of

Step-by-step explanation:

c is your answer

Answer:

B

Step-by-step explanation:

Expanding the products using FOIL , noting that i² = - 1

A

(2x - 4i)(x - 2i)

= 2x² - 4ix - 4ix + 8i²

= 2x² - 8ix - 8 ≠ 2x² + 8

B

(2x - 4i)(x + 2i)

= 2x² + 4ix - 4ix - 8i²

= 2x² + 8 ← True

C

(2x - 2i)(x + 6i)

= 2x² + 12ix - 2ix - 12i²

= 2x² + 10ix + 12 ≠ 2x² + 8

D

(2x + 4i)(x + 2i)

= 2x² + 4ix + 4ix + 8i²

= 2x² + 8ix - 8 ≠ 2x² + 8

Thus

(2x - 4i)(x + 2i) = 2x² + 8 → B

Is this a good outfit for a family gathering/ holiday party?
Black velvet skinny jeans
cream/white shirt
oversized rose cardigan
sparkly barrette
lightly curled hair
matte light makeup

Answers

Answer:

in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair

Step-by-step explanation:

that is in my opinion

Evaluate 4(3x) - 8- x2 for the following values of x.
a. X =3
b. X = -3

Answers

Answer:

a. 19 b. -53

Step-by-step explanation:

I did it mentally, but you plug those x values into the equation.

A = 22
4(3x)-8-x2 = 4(3x3)-8-3x2= 22
B= -38
4(3x)-8-x2 = 4(3x-3)-8-(-3x2)=-38

HELP MEEE PLZ :( Saeed sells beaded necklaces. Each large necklace sells for 6.50 $ and each small necklace sells for4.90$ . How much will he earn from selling7 large necklaces and 6 small necklaces?

Answers

(6.50 * 7) + (4.90 * 6)
45.50 + 29.40 = 74.90
He will earn $74.90

Answer:

74.9

Step-by-step explanation:

The new Play-station has a regular price of $500.00. Gamer Stop is having an after New
Year's sale offering a 15% discount. What will the sale price be for the new Play-station?

PLEASE HELP!!! Any help will be greatly appreciated

Answers

500 * 0.15 = $75 off
500 - 75 = $425
The sale price is $425

Hi I really need help you’ll get 100 if you answer and I’ll give u brainliest!

question is pictured

Answers

Answer:

solution given:

A=l w

now

dividing both side by w ,we get

[tex] \frac{A}{w} [/tex]=[tex] \frac{lw}{w} [/tex]

l =[tex] \frac{A}{w} [/tex]

is your answer

Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£3591

Step-by-step explanation:

Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.

The formula for Depreciation rate =

P = Po × e^-rt

P = Amount after depreciation

Po = Initial amount = £ 3600

r = depreciation rate = 5% = 0.05

t = time in years = 2

Hence:

P = £3600 × e ^ -0.05 × 2

P =£ 3600 × e-0.0025

P = £ 3591.0112406

Approximately = £3591

a graph passes through the points (0,2),(1,3), and (2,4). Does this graph represent a linear function or a non linear function?

Answers

9514 1404 393

Answer:

  linear

Step-by-step explanation:

The slope of the line between the first pair of points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -2)/(1 -0) = 1/1 = 1

The slope of the line between the second pair of points is ...

  m = (4 -3)/(2 -1) = 1/1 = 1

The slopes are the same, so the points are on the same line. The graph is that of a linear function.

I’m stuck, need help!!

Answers

Answer:

Step-by-step explanation:

A + B + C = 180

x + x - 24 + 68 = 180

2x - 24 + 68 = 180

2x + 44 = 180

2x = 180 - 44

2x = 136

x = 68

A = 68

B = 44

C = 68

Which expression is equivalent to -9a-10-6a+7−9a−10−6a+7

Answers

Answer:

−30a−6

Step-by-step explanation:

Let's simplify step-by-step.

−9a−10−6a+7−9a−10−6a+7

=−9a+−10+−6a+7+−9a+−10+−6a+7

Combine Like Terms:

=−9a+−10+−6a+7+−9a+−10+−6a+7

=(−9a+−6a+−9a+−6a)+(−10+7+−10+7)

=−30a+−6

BRAINLIEST. if you don't mind.

A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces

Answers

Answer:

the correct answer is choice D. if 24 precent of the snack mix is pretzels we simply need to multiply the total number of ounces by 0.24 7.68 ounces of the snack mix will be pretzels

Answer:
D. 7.68 ounces

Explanation:
What we know:
- the snack mix is 32 ounces
- 24% of the snack mix is pretzels

To find the ounces of pretzels, find 24% of 32 ounces by multiplying them.

24% = 0.24 as a decimal
0.24*32=7.68
Therefore, 7.68 ounces are pretzels.

I hope this helps!

Please help! if abcd is dilated by a factor of 3, the coordinate of b would be

Answers

Answer:

(-6, 6)

Step-by-step explanation:

The coordinates of B to start with is

(-2, 2)

To dilate this by a factor of 3....

-2 * 3 = -6

2 * 3 = 6

The new coordinates of B' would be

(-6, 6)

A few things to know:

- The number 3 is called a "scale factor"

- Dilation means we are multiplying all the (X, Y)'s by the scale factor

- If the scale factor is greater than 1, the size of the shape overall increases

- If the scale factor is less than 1, the size of the shape overall decreases

- If the scale factor is negative, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.

Answer:

-9,-1

Step-by-step explanation:

this is for A

I was looking for it so here you go

you multiply your x and Y by 2

hope this helps :))

In a certain year, the volume of the coral is 37.5 cubic centimeters. Which year is this? Explain your reasoning.​

Answers

Answer:

Yes

Step-by-step explanation:

Have a nice day

Answer: year 5

Step-by-step explanation:

t=-5

y=1200*2^t

y=1200*2^-5

y=37.5

Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?

Answers

Answer: 480 pennies
Explanation: 4/5=8/10 8/10-3/10= 5/10
240 pennies filled half of the bank thus 480

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale. To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale. How many ounces are in each container of ginger ale?

Answers

Given:

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale.

To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale.

To find:

The number of ounces in each container of ginger ale.

Solution:

Let n be the number of ounces in each container of ginger ale.

According to the question, the ratio of fruit juice and ginger ale is 2:5. it means,

[tex]\dfrac{\text{Fruit juice}}{\text{Ginger}}=\dfrac{2}{5}[/tex]

[tex]\dfrac{18}{\text{Ginger}}=\dfrac{2}{5}[/tex]

[tex]5\times 18=2\times \text{Ginger}[/tex]

[tex]90=2\times \text{Ginger}[/tex]

Divide both sides by 2.

[tex]45=\text{Ginger}[/tex]

So, ginger required for punch is 45 ounces.

Number of containers = 3

Number of ounces in each container of ginger ale = n

Number of ounces in 3 containers of ginger ale = 3n

Now,

[tex]3n=45[/tex]

Divide both sides by 3.

[tex]n=15[/tex]

Therefore, 15 ounces are in each container of ginger ale.

Volume of largest figure

Answers

Answer:

D= 3375

im not gr8 at math lol ;/

20 balloons have to be devided between a group A and Group B in the ratio 2:3. How many balloons will each group receive? ​

Answers

Answer:

There are 8 and 12 balloons for groups A and B, respectively.

Step-by-step explanation:

The ratio 2 : 3 means that there are 2 balloons in group A for each 3 balloons in the group B. The amounts of balloons asigned to each groups are determined by the following formulas:

Group A

[tex]n_{A} = \frac{2}{2+3}\cdot (20)[/tex]

[tex]n_{A} = 8[/tex]

Group B

[tex]n_{B} = \frac{3}{2+3}\cdot (20)[/tex]

[tex]n_{B} = 12[/tex]

There are 8 and 12 balloons for groups A and B, respectively.

Solve the problem. 10^-6

Answers

The answer is one million! Hope this helps!
0.000001/ 0.01 I think

Working together, Adam and JOhn can harvest a field in 8.18 hours. Had he done it alone it would have taken John 15 hours. Find how long it would take Adam to do it alone

Answers

Answer: Adam alone would take 6.82 hours

If John alone would’ve taken 15 hours we subtract 15-8.18 to see how much time Adam took off of the 15 hours by helping. 15-8.8=6.82 hours.

Hope this helps!

What is the length of segment BD?

Answers

The length of segment BD is 18

9 added to twice a number is the same as 27 reduced by 4 times the number

Answers

Answer:

x = 12

Step-by-step explanation:

Let the number be x.

9 added to twice a number is the same as 27 reduced by 4 times the number

If we add 9 to the number = (9+x)

If 27 reduced by 4 times the number = (4x-27)

ATQ,

(9+x) = (4x-27)

Taking like terms together,

x-4x = -27-9

-3x = -36

x = 12

Hence, the number be 12.

Simplify completely: 220 - 2,5
O 65
O /15
O 25
O 2/15

Answers

Answer:

Exact Form:

2√5

Answer: Okay, the answer is [tex]2\sqrt{5}[/tex], the decimal form is 4.4, please mark me as brainliest! :)

Step-by-step explanation: You'll need to pull terms out from under the radical, assuming positive real numbers. I hope you using Math-way to simplify the square root expression correctly to find this helpful for you, have a wonderful day! :D

Given the figure below, find the values of x and z.
(10x - 65)
(9x - 49)

Answers

(10x - 65) degrees is equal to (9x - 49) degrees, therefore you can set them into an equation.

(10x - 65) = (9x - 49)

By subtracting 9x in both sides,

(10x - 9x) - 65 = (9x -9x) - 49

x - 65 = -49

By adding 65 in both sides,


x - 65 + 65= -49 + 65
x = 16


Next, to find the value of z, it’s important to know that the straight line has 180 degrees. Then you would substitute the x value you found into one of your equation and subtract it from 180.

10 (16) - 65 = 160 - 65 = 95

Now you know that (10x - 65) degrees is equal to 95 degrees,

180 - 95 = z = 85


Answer: x = 16
z = 85

please help ill give brainliest and 60 points :((( im gonna cry

Answers

Answer:

All systems have 2 real solutions.

Step-by-step explanation:

there are X and Y unknowns.

school lunches cost $14.50 per week. About how much would 5.5 weeks cost of lunches​

Answers

I think it would be 79.75, I hope this helps!

Answer:

The answer should be about $81.20

Step-by-step explanation:

$14.50 x 5weeks = $72.50

A school week is usually 5 days.

The middle of the week is Wednesday, so that's 3 whole days.

$14.50 / 5days = $2.90 per day

$2.90 x 3days = $8.70

$72.50 + $8.70 = $81.20

Eric goes to the store to buy ingredients for dinner. He needs ground beef, shredded cheese, salsa, and tortillas. The ground beef costs $3.79, the shredded cheese costs $2.69, the salsa costs $3.77, and the tortillas cost $1.50. He has the following coupons: off ground beef, $0.50 off shredded cheese, and $1.00 off salsa.

Part A: What is the total cost of the items before Eric uses the coupons?

Part B: What is the total of all of the coupons?

Part C: How much will Eric pay after he uses the coupons?`

Answers

Answer:

part.a  11.75

part.b 1.50

part.c 10.25

Step-by-step explanation

first you do is add your original prices first

then you go back to your percentages and sense the ground beef doesn't have a coupon off its the original price for that

and your coupons added up deduct from the price and 10.25 is your new answer

PLS ANSWER I NEED HELP
Which input value produces the same output value for the two functions on the graph?
f)--x1
ot) -x-2
3
g(x)

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Each line shows you the output value for a given input value. If you want a particular input value to give the same output for both functions, then you need to find the point where the lines cross. This question asks for the input value at that point, the x-coordinate.

The lines cross at (x, y) = (3, -1), so x = 3 produces the same output from both functions.

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