the angle measures of a triangle are in the ratio 5:6:7. find the angle measures of the triangle

Answers

Answer 1

Answer:

50°, 60°, 70°

Step-by-step explanation:

Sum the parts of the ratio, 5 + 6 + 7 = 18 parts

The 3 angles in a triangle sum to 180° , then

180° ÷ 18 = 10° ← value of 1 part of the ratio, then

5 parts = 5 × 10° = 50°

6 parts = 6 × 10° = 60°

7 parts = 7 × 10° = 70°

The angle measures of the triangle are 50° , 60° , 70°


Related Questions

The total entrance fee for a group of 4 adults and 3 children to a water park is $220. The total fee for a group of 2 adults and 1
child is $98. Determine the entrance fee for an adult and the entrance fee for a child.
a. Select the system of equationslokat model the situation. Solve by using substitution.

Answers

Answer:

A.

Step-by-step explanation:

The entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

What is a system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

It is given that :

The total entrance fee for a group of 4 adults and 3 children = $220

and

The total entrance fee for a group of 2 adults and 1 child = $98

Let's assume that the entrance fee for an adult is x and entrance fee for a child is y.

So , the equations can be written as :

4x + 3y = $ 220  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 1

2x + y = $ 98  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 2

Now , multiply equation 2 by 2 :

4x + 2y = $ 196  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 3

Subtracting equation 3 from equation 1 , we get :

(4x - 4x) + (3y - 2y) = $220 - $ 196

y = $24

or entrance fee of a child is $24.

Now , substituting the value of y in equation 1 , we get :

4x + 72 = $220

4x = 148

x = $37

or entrance fee of an adult is $37.

Therefore , the entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

Learn more about system of equations here :

https://brainly.com/question/25869125

#SPJ2

Examine the last statements made by the Dormouse:
(1) I breathe when I sleep.
(2) I sleep when I breathe.
Write each of the statements in "If .... then” form.

Answers

Answer:

I believe what your teacher is looking for is

"If I breathe when I sleep, then I sleep when I breathe."

"If I sleep when I breathe, then I breathe when I sleep."

Step-by-step explanation:

I hope I'm correct ^-^

Chloe works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 10% of her total sales for the week. How much would Chloe make in a week in which she made $975 in sales? How much would Chloe make in a week if she made xx dollars in sales?

Answers

Answer:

See Below

Step-by-step explanation:

Making $250/week in salary and 10% of the $975 in sales.

First find what 10% of $975 equals.  The decimal equivalent of 10% is 0.10

So multiply the decimal and total sales.

0.10 x 975 = 97.5

Her weekly salary plus the commission would be:

$250 + $97.50 = 347.50

If you don't know her sales for the week, you can use X to represent the sales.  The equation would be:

0.10x   +   250  =  y       where y is her total pay.

Which statement best supports the generalization that the history of Earth is stored in its rocks?(1 point) ASAP PLEASE!!!!!!!

An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.
An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.

A study of the metal iridium revealed that it is rarely found on Earth.
A study of the metal iridium revealed that it is rarely found on Earth.

An investigation into increased ocean temperatures indicated global warming occurred on Earth.
An investigation into increased ocean temperatures indicated global warming occurred on Earth.

A test to measure the impact of an asteroid striking Earth highlighted the large clouds of dust that would block out the sun.

Answers

Answer:

the last paragraph ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ

Answer:

An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.

Step-by-step explanation:

This is so hard and I don’t know why

Answers

Answer:

Hey girl! I got you.

Step-by-step explanation:

So! The angle x and z are congruent, meaning that they are equal, so you got that part correct. They are indeed 103. Next you need to find y, and in this case you need to do 180 - 103 because the line that holds both angle z and angle y is equal to 180.

180 - 103 = 77, you got that correct also!

You're on the right track, just explain in words how you know what each angle is equal to! Good luck! :)

the number get when 90 is divided by 30 and its quotient is multiplied by 53?

Answers

Answer:

Step-by-step explanation: 90 divided in to 30 is not 53 is is equal to 3

Carmen wants to buy a pair of shoes that regularly costs $78. Today, the shoes are on sale for 60% of the original price. How much will Carmen have to pay for the shoes?​

Answers

Answer:

31.2

Step-by-step explanation:

Change 60% into 0.6 by moving the decimal 2 points to the left

Multiply 0.6 by 78 to get 46.8

Subtract 78 and 46.8 to get 31.2 which is your answer

I have the equation.
16x^0+2x^2*y^-1
How do I solve the equation if x = 2 and y = 4?

Answers

Answer:

18

Step-by-step explanation:

[tex] \\ \sf16 {x}^{0} + 2 {x}^{2} \times {y}^{ - 1} [/tex]

Now putting the values of x and y.

[tex] \\ \sf16 \times {2}^{0} + 2 \times {2}^{2} \times {4}^{ - 1} [/tex]

[tex] \\ \sf = 16 \times 1 + 2 \times 4 \times \frac{1}{ {4}}[/tex]

[tex] \\ \sf = 16 + 2[/tex]

[tex] \\ \sf = 18[/tex]

Note:

•If the power of a number is 0 then it's value will be 1.

•If the power of a number is negative then reciprocal the number to make the power positive.

a line segment has endpoints at (2 3) and (-7 3) what is the distance of this segment

Answers

Answer:

9 units

Step-by-step explanation:

Y-coordinates are the same, so we just find the distance between the x-coordinates which is 2-(-7)=2+7=9 units

Please Help Me I Really Really Need It : (
I Will Mark you Brainliest If You Answer My Question Correctly.​

Answers

Answer:

C. Find the sum/difference.

1. 6 1/28

2. 7 2/9

3. 12 5/9

4. 9 14/15

5. 8 17/20

D. Add/Subtract

1. 9 2/15

2. 8 7/20

3. 8 9/10

4. 9 1/2

5. 7 5/9

E. Activity 3

1. 15 5/12 C.

2. 5 1/6 A.

3. 1 1/2 B.

4. 11 1/2 D.

5. N = 9 1/14 C.

F. Part 4

1. 16 7/40 C.

2. 16 7/15 A.

Plzzzzzz answer quickly.​

Answers

[tex]\sf (6^{n+2}-6^n)\div(6^{n+1}+6^n) =(36\cdot 6^n-6^n ):(6\cdot 6^n +6^n )=\\\\ (35\cdot \backslash\!\!\!6^n)\div(7\cdot \backslash\!\!\! 6^n )=35:7=\boxed{5}[/tex]

25 points people please help i will mark brainly give 5 stars and give 5 hearts if correct

Answers

first one: false
second one: false
third one: false
fourth one: true

Which choices are equivalent to the expression below? Check all that apply

Answers

Answer:

B, D, and E

Step-by-step explanation:

is it
A)85
B)35
C)25
D)50

Answers

Fdaodoso it’s a Bc it is 85 feet longs

Given f(x)=3x/x+2, evaluate.
f(-3)= ? explain..

I will give Brainliest!

Answers

Answer:

9

Step-by-step explanation:

Plug the -3 value into the equation.

3( -3 ) / -3 + 2

-9 / -1

negative divided by a negative gives a positive result

9

Greg drives at 50 mph for 2 hours.
How far did he drive?
O 20 mi
O 75 mi
0 125 mi
O 150 mi

Answers

Answer:

125 mi po Hindi kopo sure

Taylor multiplied 8.25 * 10^4 and 0.4 * 10^4 and got 8.65 * 10^4. Explain Taylor's mistake. SOME ONE PLEASE HELP ME GET THIS ANSWER!

Answers

Answer: I believe the answer is 3.3 x 10^8

£800 to the ratio of 9.13.18

Answers

Your answer is 180,260,360

Emma buys packets of beads

purple beads are sold in packets of 8
red beads are sold in packets of 5
blue beads are sold in packets of 10

Emma wants to buy an equal number of purple,red and blue beads

what is the smallest number of each colour Emma could buy.​

Answers

Answer:

40beads

Step-by-step explanation:

For this number you are supposed to find the LCM of the three numbers given that is 8,5 and 10

Hope that this helpful.

Have a great day.

(44 points and brainliest) A geologist noticed that land along a fault line moved 24 4/5 centimeters over the past 175 years. On average, how much did the land move each year?

Answers

24.8 cm ÷ 175= 0.141... or 0.14 cm.
The answer is 0.14 cm.

Hope this helps

Answer:

7.0564516129

Step-by-step explanation:

Use 175 and divide 24 4/5 from that, then you find out how much the land moves each year.

find the distance between AB A( 0 , 10 ) , B( 1 , 3 )

Answers

Answer
7 units
Hope this helps.

Answer:

7.07

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √(1 - 0)² + (3 - 10)²

= √1)² + (-7)²

√(1) + (49)

√50

= 7.07

g(x) = -x2 + 24
For the function g defined above, what is the value of
g(-4)?

Answers

Answer:

[tex]g(x) = - x\\ g( - 4) = - ( - 4) + 24 \\ g( - 4) = 4 \times 2 + 24 \\ g( - 4) =8 + 24 \\ g( - 4) = 32 [/tex]

G(-4)= 40
Explanation
G(x)=-x^2+24
Step 1- g(x)=-(-4)^2+24
Step 2- g(x)= 4^2+24
Step 3- g(x)=16+24
Step 4- g(x)= 40

Could someone help please? Thanks for your time!

Answers

The rate of change is also known as the slope or rise / run.

Slope Formula: (y2 - y1) / (x2 - x1)

First, we'll need two points that are on the line. You can choose any two points you want, as long as they are on the line.

Point 1 = (0, 1)

Point 2 = (-2, -3)

Then, we'll plug the two points into the formula and solve for the slope.

(-3 - 1) / (-2 - 0)

(-4) / (-2)

2

The rate of change of this line is 2.

Hope this helps!! :)

Answer: the rate of change is 2

Step-by-step explanation:

f(x) = 3x2 - 3x + 1 3х 1 Find f(-2)​

Answers

Answer:

Assuming f(x) = 3x^2 - 3x + 1, f(-2) is 16.

Step-by-step explanation:

Check answer.

PLZ MARK AS BRAINLIEST IF THIS HELPED YOU!

please help!!!!!!!!!

Answers

Answer:

1.) (0,5)

2.) (0,1)

3.) (6,4)

4.) (4,1)

Step-by-step explanation:

Find the missing side of each triangle.

A) 10 cm
C) 17.1 cm
E) 5.8 cm
B) 11.4 cm
D) 13.8 cm

Answers

Answer:

The choice B) 11.4

Step-by-step explanation:

[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]

By using Pythagoras theorem :

[tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex]

[tex] {x}^{2} = 161.29 - 30.25[/tex]

[tex] {x}^{2} =131.04[/tex]

[tex]x = \sqrt{131.04} [/tex]

[tex]x = 11.4[/tex]

Correct choice is B

How are sequences whose consecutive terms differ by a constant modeled, and what can those models tell us?

Answers

Answer:

Linear functions

Step-by-step explanation:

The radius of a circle is 7.7 ft. Find the circumference to the nearest tenth to the nearest tenth.

Answers

Answer:

[tex]15.4\pi[/tex]

Step-by-step explanation:

[tex]C = 2\pi *r\\C = 2\pi *7.7\\C = 15.4\pi[/tex]

BRAINLIEST TO WHO EVER ANSWERS

Answers

Answer:

See below

Step-by-step explanation:

f(x) = -2x + 2

Put x = 1

f(1) = -2(1) + 2

f(1) = -2 + 2

f(1) = 0

Put x = 0

f(0) = -2(0) + 2

f(0) = 2

Put x = -1

f(-1) = -2(-1) + 2

f(-1) = +2 + 2

f(-1) = 4

Put x = 2

f(2) = -2(2) + 2

f(2) = -4 + 2

f(2) = -2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Multiply the binomials: (b+8)•(b-2)

Answers

Answer:

[tex]{ \rm{(b + 8)(b - 2)}} \\ \\ = { \rm{ {b}^{2} - 2b + 8b - 16}} \\ \\ = { \rm{ {b}^{2} + 6b - 16}}[/tex]

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