An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?

Answers

Answer 1

Answer:

The measures of the other interior angles are 15° and 105°

Step-by-step explanation:

The given parameter of the measures of the interior angles of the triangle are;

The measure of one of the interior angle of the triangle = 60°

The ratio of the measure of the other interior angles = 1 : 7

Let the x represent one of the other interior angles and y represent the third interior angle, we have;

x + y = 180 - 60 = 120

x : y = 1 : 7

x = 1 part of 8 parts of 120°

y = 7 parts of 8 parts of 120°

Therefore;

x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°

x = 15°

y = 7/(1 + 7) = 7/8 × 120° = 105°

y = 105°

The measures of the other interior angles are 15° and 105°.


Related Questions

y = x - 2
-2x + 3y = -1
What is x and y?

Answers

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Substitute in y:                    -2x + 3(x - 2) = -1Distribute 3:                         -2x + 3x - 6 = -1Combine like terms:            x - 6 = -1Isolate x:                               x = 5

Step 3: Solve for y

Define equation:                    y = x - 2Substitute in x:                       y = 5 - 2Subtract:                                 y = 3

What is the value of x in the equation 5(3x + 4) = 23?

start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction

Answers

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

      -20=-20

15x=3

divide by 15 from both sides

x=0.2

Step-by-step explanation:

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

     -20=-20

15x=3

divide by 15 from both sides

x=0.2

Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5

amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.

Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".

i need help with my math>

Answers

Answer:D

Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D

:D

5b-b-1 > or equal too-11

Answers

Answer:

-2.5

Step-by-step explanation:

5b - b - 1 ≥ -11

4b - 1 ≥ -11

     +1    +1

4b ≥ -10

4/4     -10/4

b ≥ -2.5

Answer:

 b ≥ [tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

The expression:

      5b  - b  - 1 ≥ -11

Now to solve this problem, we must be aware of some rules of inequality.

When dividing or multiplying with a negative value, the sign of the inequality must change;

         5b  - b  - 1 ≥ -11

             4b  - 1 ≥ -11

  Add + 1 to both sides;

            4b -1 + 1 ≥ -11 + 1

            4b ≥ -10

Now divided both sides by 4;

            [tex]\frac{4b}{4}[/tex] ≥ [tex]\frac{-10}{4}[/tex]  

           b ≥ [tex]-\frac{5}{2}[/tex]

What is a simple way to tell that −2 1/5 is not the slope of this graph?

Answers

Answer:

The last one is an easy way to tell that the slope is not -2 1/5 because it is positive

Step-by-step explanation:

When a line goes up from left to right, it's positive. If it goes down from left to right, it's negative.

13/26 = x/24 solve for x
PLEASE ANSWER

Answers

Answer:

x= 12

Step-by-step explanation:

hope this helps!!

i need help plzzzzzz

Answers

The answer is 3.7a+3b

Because you combine like terms

Answer:

3.7a/10+3b

Step-by-step explanation:

Hope this helps and have a great day :)

The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship
between the number of tickets remaining and the number of hours since 4:00 P.M.
Ticket Sales

Answers

Answer: I just took the test so the answer would be y=3,000x+12,000

Step-by-step explanation: hope this help thx for the points :D

can someone please help me?

Answers

Answer:

70°

Step-by-step explanation:

since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)

a triangle adds up to 180°

so to find x we set this up:

x +55 +55 = 180

x + 110 = 180

x = 70°

Which equation below represents a proportional relationship?



a. y = 5x – 9

b. y = 2x + 7

c. y = 8x

d. y = 3x – 2

Answers

Answer:

c.

Step-by-step explanation:

when an equation doesn't have a y-intercept. That means it is proportional.

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hope this helps! :)

What’s is twenty one minus eight

Answers

Answer:

13 dude

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

I need help on this question

Answers

The correct answer should be C to this question

Answer:

A) - M

Step-by-step explanation:

Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n

Answers

Answer:

The Answer is B. 2-5n

Step-by-step explanation:

Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n

Then combine like terms which are +3n and -8n which leaves you with -5n

HELLOPPPPPPPP ASAPPPPPP PLEASEEEE

Answers

Answer:

A.

Step-by-step explanation:

what is 2 + 1 = ? is it 3 or is it 3 because i dont know​

Answers

Answer: 4

Step-by-step explanation:

ANSWER

3

Explanation

2+1=3

which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

this is the formula which I am asking you all​

Answers

Answer:

That is literally still the same formula for mean.

Step-by-step explanation:

The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.​

Answers

Answer:

Step-by-step explanation:

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons how many liters of water will you need to make lemonade?

Answers

Answer:

6 Liters

Step-by-step

4 Lemons = 3 Liters

8 Lemons = 6 Liters

So its basicly multiplying it by 2  ^O^

Answer:

X = 6

Step-by-step explanation:

number of lemons. Liters

4 ---> 3

8 ---> X

= 4:8 = 3: X

= 4 = 3

8 X

= 4X = 3×8

= X = 3 × 8

4

= X = 6 answer X=6

Chris bought a $568.80 tv with a 40% markup, how much does the tv cost.

Answers

Answer: the answer is $796.32

Step-by-step explanation:

a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!​

Answers

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

7k-3=6k what does k equal

Answers

Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

3 = 6k + 7k

13K = 3

k = 3/13

i am in need of help

Answers

CAD= BAD
AD=AD( the same side of two angles).

ou swim in a 100-meter race. Your best time is 59.48 seconds. You want to swim the race in 51.55 seconds. How much will you need to trim from your best time?

Answers

Answer:

7.93 seconds

Step-by-step explanation:

Subtract!

59.48s - 51.55s = 7.93 seconds

Needs to be trimmed.

Answer:

7.93

Step-by-step explanation:

59.48 minus 51.55 is 7.93

20000×50×45×0×23×5×6+229+466+7+5+8+9+1+2+3+45+6+7+8+9+10. Hope you like question don't answer if you don't want to. Have a great day​

Answers

815? but have a great day as well!

6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)


sos idk how to solve this:)

Answers

Answer:

[tex]\huge\boxed{(f\circ g)(x)=8x-19}[/tex]

Step-by-step explanation:

[tex](f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19[/tex]

how do i evaluate p=2l+2w if l=5 and w =3

Answers

Answer: p = 16

Step-by-step explanation:

Replace the I with 5 and the W with 3.

2(5) + 2(3) = 10 + 6 = 16

1) Noah ate all of his Takis for breakfast, but he forgot that he owed Jason 16
Takis. London gave Noah 27 Takis at lunch the next day. How many Takis
will Noah have in total after he give Jason the Takis?

Answers

Answer:

noah will have 11 takis

Step-by-step explanation:

Based on the graph, which inequality is correct for a number that is to the right of -3?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.

a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6

Answers

Answer:

The inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

Step-by-step explanation:

Given the inequality

[tex]-3\:>\:4[/tex]

-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.

Given the inequality

[tex]-2\:<\:-3[/tex]

-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.

Given the inequality

[tex]-3\:<\:-6[/tex]

-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex]  is also incorrect.

Given the inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

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