The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.

Answers

Answer 1

Answer:

x = 45

y = 60

z = 75

Step-by-step explanation:

We can create three different equations with the given variables:

x + y + z = 180

y + z = 3 x

z = y + 15

then we can use this last equation to substitute for 'z" in the second equation:

y + z = 3x

y + y + 15 = 3 x

2 y + 15 = 3 x

x = 2/3 y + 5

Then we can re-write the first equation in terms of y and solve for this unknown:

2/3 y + 5 + y + y + 15 = 180

2/3 y + 2 y = 160

8/3 y = 160

y = 3 * 160 /8

y = 60

Then   x = 2/3 (60) + 5 = 45

so x = 45

and finally:   z = 60 + 15 = 75

so  z = 75


Related Questions

Can you guys help me please and thank you.

Answers

Answer:

Y intercept is 3 (the first one)

Step-by-step explanation:

This is a question on me homework and me need help so plz help

Answers

u need to post the picture or else it doesn’t make sense

Classify the triangle shown below. Check all that apply.

Answers

equilateral and acute

Answer:

A, E, F

equilateral, acute, and isosceles

Step-by-step explanation:

Ruby drank 4/5 liter of water Monday before jogging.She drank 2/3 liter of water after her jog.How much water did Ruby drink altogether?

Answers

Answer:

22/15, or  Liters of Water

Step-by-step explanation:

First find a Common Denominator, which in this case would be 15. But, you have to make the numerators numbers that can be with the new common denominator, so multiply 2*5, and that's 10, and 4*3, which is 12. Since the problem is  asking you to find out how much water she drank in total, you can just add the numbers up since the denominators the same. So with the new numbers 10/15, add that with 12/15, and you get 22/15. At this point you can either keep it as 22/15, or you can make it into a mixed number of 1 7/15 as your final answer.

3x?=90 Can somebody please help me

Answers

Answer: 30

Step-by-step explanation:

3 x 30 = 90

Hope this helps!!

Answer:

x = 30

Step-by-step explanation:

3x = 90

Divide both sides by 3.

x=  3/ 90

Divide 90 by 3 to get 30.

x=30

5. A life insurance policy costs $16.00 for every $1,000.00 of insurance. At
this rate, what is the total policy cost for $50,000.00 of insurance.

Answers

Answer:

800.00

Step-by-step explanation:

so you give me a hint that was for every 16.00 it was 1000.00

i did 16x50=800

i got 50 from 50 in 50000 and the 16 from 16.00 so then i times 16 from 50 which is 800

Need help with fractions? Comment here if you need help :) I would love to help. This is Math subject. Please don't report. I'm just trying to help :)

Answers

Answer:

yeah what is 122×321???

It's really nice of you to help people when they're struggling with their subjects. You're a smart person! Stay positive and stay safe during this pandemic! Have a beautiful splendid day!!!

Get this right and I'll give Brainlist!!!!!!

Answers

Step-by-step explanation:

So, we have f / -(2/3) = -(1/3), right?

Well, this means that f = -(1/3) * -(2/3) = positive 2/9 !

Your answer is f = 2/9 :)

Answer:

F = 2/9

Step-by-step explanation:

PART III
You operate a local mortgage & loan business with two other partners. Your role is to adjust
the prime interest rate for variable & fixed mortgages for your customers, as well as deal
with the length of a mortgage.
1. A client comes in looking to apply for a mortgage, but does not have any prior knowledge.
Answer the following questions to help them decide which type of mortgage to get.
(a) At most banking institutions, there are two types of mortgages available: fixed
mortgages and variable mortgages. Describe the difference between the two main
types of mortgages. Give one positive and one negative aspect of each type of
mortgage
(b) Banks will often advertise interest rates using the terminology prime plus/minus
percent. For example, if prime is 1.5%, then 2.5% might be advertised as prime plus
1%. Express 1.45% and 4.35% using the terminology of prime plus/minus percent
using Canada's current prime interest rate.
2. How many years will it take for your client to pay off a mortgage of $250,000 if he makes
month-end payments of $1,500? Assume a fixed interest rate of prime minus 0.5% over
the term of the whole mortgage. You may answer either by hand, or using the calculators
TVM buttons. If you use the calculator, ensure you write down all of your inputs for
full marks. No time diagram is necessary.
3. Your client borrows $250,000 and agrees to pay $1,500 at the end of every month for
a 5-year term. At the end of years, there is $200,000 remaining on the mortgage.
Use the calculator's TVM buttons to determine the fixed interest rate on this mortgage
(you will be unable to do this any other way). Write down all of your inputs, paying
careful attention to negative signs, for full marks. Express your final answer using prime
plus/minus terminology. No time diagram is necessary

Answers

Answer:

liflifljfjchhjxnxnxjjxdkhdkudkud

Change 3 minutes 12 seconds to seconds?​

Answers

Answer:

192

Step-by-step explanation:

Answer:

192 BECAUSE 3 MIN = 180 SECONDS + 12 SECONDS = 192 SECONDS

Step-by-step explanation:

Which equation has a slope of -3/4 and goes through the point (-3,4)?​

Answers

Answer:

Step-by-step explanation:

First write a point-slope equation y−y1=m(x−x1) , where (x1,y1) is the given point, (4,2) , and m is the slope, −3 . For graphing, you can convert to the slope-intercept form, y=mx+b , by solving for y , where m is the slope and b is the y-intercept.

HELP PLEASE ASAP!!! Please show work I’ll mark you brilliant!!!!

Answers

Please mark brainliest!!

5)
The completely factored form of
2dº +6d-18d - 54d is

Answers

Answer:

=

2

d

4

18

d

2

+

6

d

3

54

d

 

=

2

d

2

(

d

2

9

)

+

6

d

(

d

2

9

)

=

(

2

d

2

+

6

d

)

(

d

2

9

)

=

(

2

d

2

+

6

d

)

(

d

+

3

)

(

d

3

)

=

2

d

(

d

+

3

)

(

d

+

3

)

(

d

3

)

=

2

d

(

d

+

3

)

2

(

d

3

)

Step-by-step explanation:

1. The ratio of women to men at a construction site is 2 to 4. There are a
total of 60 workers. How many of the workers are women?

Answers

30 because half of them are women half are men because 2/4 is equal to 1/2

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pound, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.

Answers

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

8. Mary and Todd went on a bike trip. The first day they biked 17 miles, and the second
day they traveled 19 miles. Then they turned around and bicycled back home again by
the same route. How many miles did they travel in all?.

Answers

Answer:

They traveled 72 miles in all.

Step-by-step explanation:

Answer:

The answer is 72.

Step-by-step explanation:

217+229+314+215=975

Hope you have A Great day!

What is the hexadecimal conversion of the decimal number 224?

Answers

Answer:

This is a little confusing to me this question but I think its "E0"

Step-by-step explanation:

a) Divide 224 by 16 and then separate what is on the left and right side of the decimal point.

b) Multiply the right side of the decimal point by 16 (and convert to hex if neccessary) and keep that number to the side.

c) Divide the left side of the decimal point by 16 and separate what is on the left and right side of the decimal point.

d) Repeat step b and c above until the value on the left side is 0.

e) Then simply enter the numbers you got in step b in reverse order to get the answer.

Following the instructions above, your math should look like this:

224 / 16 = 14

0 x 16 = 0

14 / 16 = 0.875

0.875 x 16 = E

Thus, 224 decimal converted to hex is as follows:

E0

Five kittens share 6 cups of milk equally. How much milk does each kitten get?

Answers

Answer:

They get .83 cup per.

Step-by-step explanation:

Divide 6 by 5. So do 6 / 5, which gets you 0.833333333


Help ASAP Find the measure of Z.

45°
75°
105

Answers

Answer:

75°

Step-by-step explanation:

m∠W = m∠Z = 180° - 105° = 75°

Answer:

75°

Step-by-step explanation:

Can someone help solve this please ?

Answers

Answer:

it's the third one bc I got it right

can someone help me please and thank you!!

Answers

Answer:

Perimeter: perimeter = (12 x 2) + (x-2 times 2)

Area: 12 x (x-2)

Step-by-step explanation:

I hope im right im only in grade 6 so wouldnt  trust me with that :/  

father bought 2kg 200g of potatoes and 1kg 500g of tomatoes.find the total weight of vegetables he bought​

Answers

Answer:

3kg 700g

hope it helps:-) :-)

what is the value of x in the eqation 5x+3=4x

Answers

Answer :x=-3

Step-by-step explanation:Solve for  x by simplifying bothh sides of the equation then isoolating the variable

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x

5x = 4x - 3

5x - 4x - 3

x = -3

Triangle ABC has 3 medians drawn creating centroid D. If a centroid creates a 2:1 ratio and one median is 24 inches, what is the larger piece?​
PLS HELP ASAP! WILL MARK BRAINLEST!! THX :)

Answers

Answer: The larger piece is 16 inches

Step-by-step explanation: Median of a triangle is a line segment uniting a vertex and the midpoint of the opposite side. A triangle has 3 medians and the point where these 3 intersect is called centroid.

The ratio of one median is 2:1, which means the line segment is divides by the centroid into two parts, one the double of the other. So:

2x + x = 24

3x = 24

x = 8

Then, the larger piece is

2x = 2(8) = 16

The larger part of the median measuring 24 inches is 16 inches

*
Solve this system of equations: 2x+3y =12 12y=48-8x
(3,2)
O (6,0)
no solution
infinitely many solutions

Answers

Answer: (3,2)

Step-by-step explanation: x=-3/2y+6

2x+3y=12

Step 1: Add -3y to both sides.

2x+3y+−3y=12+−3y

2x=−3y+12

Step 2: Divide both sides by 2.

2x/2=-3y+12/2

i'm not finna do a whole tutoring session today, it make long explanations

Write 6.384 correct to 1 decimal place ?

Answers

Answer:

Write 6.384 correct to 1 decimal place ?=6

Answer:

6.4

Step-by-step explanation:

Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth. The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.

In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.

The number rounded to one decimal place is 6.4.

pls help ! will give brainliest ! the pattern of numbers below is a geometric sequence 2, 10, 50, a, b, c, ... find the values of a b and c

Answers

a=250 ,b=1250, c=6250

brainliest?

An electrician has a piece of wire that is 4 and 3/8 cm long. She divides the wire into pieces that are 1 and 2/3 cm long. how many pieces does she have? (Type out your work)

Answers

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

Hope this helped


1.What is the length of the altitude of an equilateral triangle with side lengths of 34 inches?

2. The bottom of a ladder must be placed 10 feet from a wall and reach a height of 16 feet. How long is the ladder?

I need help pls

Answers

Answer:

Step-by-step explanation:

Remark

Question One

It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.

Givens

altitude = h

a = 34/2 = 17

hypotenuse = 34

Formula

a^2 + h^2 = c^2

Solution

17^2 + h^2 = 34^2

289 + h^2 = 1156

h^2 +289 =1156

h^2 = 1156 - 289

h^2 = 867

sqrt(h^2) = sqrt(867)

h = 29.444

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

Question Two

Givens

b = 10 feet

c = ?

height = h = 16

Formula

c^2 = b^2 + h^2

Solution

c^2 = 10^2 + 16^2

c^2 = 100 + 256

c^2 = 356

sqrt(c^2) = sqrt(356)

c = 18.87

use the number line to model the equation -5 + -3 = -3+ (-5)

Answers

Answer: I don’t have a number line, but...

Step-by-step explanation:

If you add -1 to any number, you lose one, right?

So, do that five times, and use the properties to show that there is no difference between them.

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