An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40°. The measures of the other interior angles are in the ratio 3 ∶ 5. What are the measures of the largest interior angle? You must show your work to receive full credit.

Answers

Answer 1

Answer:

The measure of the largest interior angle is [tex]87.5^{o}[/tex].

Step-by-step explanation:

Given one of the interior angles of the triangle =  40°. Let the other interior angles be represented by b and c.

Sum of angles in a triangle is [tex]180^{o}[/tex].

So that;

b + c +  40° = [tex]180^{o}[/tex]

b + c = [tex]180^{o}[/tex] - 40°

b + c = [tex]140^{o}[/tex]

But, b and c are in the ratio 3:5

Thus,

b = [tex]\frac{3}{8}[/tex] x [tex]140^{o}[/tex]

  = [tex]52.5^{o}[/tex]

b = [tex]52.5^{o}[/tex]

c = [tex]\frac{5}{8}[/tex] x [tex]140^{o}[/tex]

  = [tex]87.5^{o}[/tex]

c = [tex]87.5^{o}[/tex]

Check:

[tex]52.5^{o}[/tex] + [tex]87.5^{o}[/tex] = [tex]140^{o}[/tex]

The measure of the largest interior angle is [tex]87.5^{o}[/tex].


Related Questions

I have no idea what I'm doing pls help.

Answers

Answer:

Step-by-step explanation:

You did the number 3 right because you multiply 3 x 25 is 75.

All you have to do is find what to multiply by the "x" numbers and find the "y" equal answers.

Hope this helps.

Have a good day ma'am/sir.

Be safe!

will mark brainliest please yall

Answers

Answer:

c

Step-by-step explanation:

Just think about the question

c look at the picture carefully

you will understand it more clearly

In 7 hours of driving, Vince travelled 364 kilometers. If he travels at the same rate, what distance will he travel in 12 hours? kilometers

Answers

Answer:

 52 times 12 = 624

Step-by-step explanation:

364 divided 7 = 52

52 times 12 = 624

df+gh=k
solve for h.
please help!!

Answers

Answer:

15

Step-by-step explanation:

Ms. Sacksteader owns a grocery store. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags containing 10 pounds each and puts the rest in 5-pound bags. Her family will eat any of the leftover potatoes. Ms. Sacksteader wants to know how many 5-pound bags of potatoes she can sell. How much money will ms. Sacksteader make fir the 5 lb bags

Answers

Answer:

b

Step-by-step explanation:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 16​-mile taxi ride takes 24 minutes and costs ​$9.60. You want to find the cost of a 42​-minute taxi ride. What unit price do you​ need?

Answers

Answer:

$32.90

Step-by-step explanation:

You would need $32.90 to get travel by the taxi.

The speed of light in a vacuum is about 3000000000 meters per second, which can be written as 3 x 10n meters per second. What is n

Answers

Answer:

n = 9.

Step-by-step explanation:

There are 9 0's after the 3 so it's

3 x 10^9.

4t^2-6 when t is 3
Math question

Answers

Answer:

30

Step-by-step explanation:

4t^2-6 when t is 3

Since we know t=3, we can substitute that in

4(3^2) - 6

Simplify.

3^2 = 9

= 4(9) - 6

= 36 - 6

= 30

Although the first quarter of 2002 was quite dismal on Wall Street, mutual funds investing in gold companies rose an average of 35.2%. Assume that the distribution of returns in the first quarter of 2002 for mutual funds specializing in gold companies is fairly symmetrical with a mean of 35.2% and a standard deviation of 20%. If random samples of 16 gold stock funds were selected:

Answers

Complete Question

Although the first quarter of 2002 was quite dismal on Wall Street, mutual funds investing in gold companies rose an average of 35.2%. Assume that the distribution of returns in the first quarter of 2002 for mutual funds specializing in gold companies is fairly symmetrical with a mean of 35.2% and a standard deviation of 20%. If random samples of 16 gold stock funds were selected:

 90% of the sample mean returns are between what two values symmetrically distributed around the mean?

Answer:

The two values symmetrically distributed around the mean  are  

   21.87\%   and  43.17\%

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 16[/tex]

  The sample  mean is  [tex]\= x = 0.352[/tex]

    The standard deviation is  [tex]\sigma = 0.20[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n -1[/tex]

=>   [tex]df = 16 -1[/tex]

=>   [tex]df = 15[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at  a degree of freedom of [tex]df = 15[/tex]  is  

   [tex]t_{\frac{\alpha }{2} , 15 } =  2.13 [/tex]

Generally the margin of error is mathematically represented as  

       [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.13  *  \frac{ 0.20  }{\sqrt{16} }[/tex]  

=>    [tex]E = 0.1065 [/tex]  

Generally 90% confidence interval is mathematically represented as  

      [tex]0.3252  -0.1065 <  \mu < 0.3252  + 0.1065 [/tex]

=>   [tex]0.2187  <  \mu < 0.4317 [/tex]

converting to percentage

      [tex]0.2187 * 100   <  \mu < 0.4317 * 100  [/tex]

=>    [tex] 21.87\%   <  \mu <  43.17\%  [/tex]  

Hence   the 90% of the sample mean returns are between 21.87\%  and 43.17\%

   

Divide. Write the quotient in lowest terms. 1 7/9÷4/5

Answers

Answer:

2 units and 2/9

Step-by-step explanation:

Answer: 236.25

Step-by-step explanation:

Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have _________
A. No Solution
B.One Solution
C.Infinitely many solutions

Answers

Answer:

D

Step-by-step explanation:

Got 100%

Answer:

I think that it's C.Infinitely many solutions

Step-by-step explanation:

Hope this helps

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.

Answers

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.

The equation is given below.

7a + (3a - b)i = 14 - 6i

Compare the real part of the equation, then we have

7a = 14

a = 14 / 7

a = 2

Compare the imaginary part of the equation, then we have

3a - b = - 6

3 x 2 - b = -6

6 - b = - 6

b = 6 + 6

b = 12

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

how much of a 3/4 of cup serving is in a 2/3 cup of yogurt?

Answers

Answer:

8/9

Step-by-step explanation:

could i have brailiest plz it  isnt a must tho thx

plz do this ill mark brainly and its worth 15 points plz​

Answers

Answer:

Step-by-step explanation:

9. discount is 9 dollars. sale price is 36 dollars

10. discount is 135 dollars sale price is 315

11. discount is 7.20 dollars, sale price is 41.80

12. discount is 37.50. sale price is 112.50

13. discount is 590. sale price is 870

14. discount is 42. sales price is 42

15. discount is 32.50. sales price is 292.50

16. discount is 29.75. sales price is 56.25

17. The similarities is that there's a difference in the original price, usually in a percentage. The difference is that a markup is a increase whereas a discount is a decrease

Answer:

just look up the questions on the internet

for exaple look up 20% of 45 is what for discount then do 45-discount=sales price

Step-by-step explanation:

Select all the correct answers.
Which expressions are equivalent to this exponential expression?
(52)-3.54
5-4
25
0 0 0 0 0
52
5-1
051
Reset
Reset
Next

Answers

Answer:

first and third and fifth

Step-by-step explanation:

big brain time

Answer:

25 and 5^2

5 to the power of two is 25, because 5 * 5 is 25. Therefore the two are the same.

Step-by-step explanation:

♩ What can I say except your welcome? ♪ ♫

y = -6x
y = -8x + 6
?????

Answers

Answer:

x=3

Step-by-step explanation:

-6x=-8x+6

+8 +8

2x=6

2/2 6/2

x=3

Directions are on the picture. I just need to figure out

Answers

Answer:

Bruh so easy hahahahahaha

1. Choose the value for x that would make this inequality true. x > 5

a. 3
b.-6
c. 7
d.4 ​

Answers

The answer is 7. This is the only number greater than 5.
It would be C
x>5
7>5

What is the formula for calculating a residual value

Answers

The formula to figure residual value follows: Residual Value = The percent of the cost you are able to recover from the sale of an item x The original cost of the item. For example, if you purchased a $1,000 item and you were able to recover 10% of its cost when you sold it the residual value is $100!!

The residual value indicates how well the regression model fits the observed data, with a residual of zero indicating a perfect fit.

In the context of linear regression analysis, the residual value represents the difference between the observed value of the dependent variable and the predicted value. The formula for calculating the residual value can be expressed as:

Residual = Observed Value - Predicted Value

To calculate the residual value, you need to have a regression model that predicts the value of the dependent variable based on the independent variable(s). Once you have the predicted value, you subtract it from the corresponding observed value to obtain the residual.

For example, if you have an observed value of 10 and the predicted value from the regression model is 8, the residual would be:

Residual = 10 - 8 = 2

The residual value indicates how well the regression model fits the observed data, with a residual of zero indicating a perfect fit.

To know more about residual value visit:

brainly.com/question/31393609

#SPJ6

Can someone help????

Answers

Answer:

BAE + ECB + ABC = 180 [ BEING INTERIOR TRIANGLE ANGLES SUM ]

Answer:

180 = Angle ABC + BAE + ECB

180 = Angle ABC + 27 + 21

Angle ABC = 180 -27 -21

Angle ABC = 132

Angle ABC = Angle ADC (opposite angles of a parallelogram are equal).

Angle = 132

Step-by-step explanation:

The Sheikra roller coaster at Busch Gardens in Tampa, Florida, features a 138-foot vertical drop.
What is the slope of the coaster track at this part of the ride?

Answers

If the drop is vertical, the slope is undefined. It approaches negative infinity. For a finite slope to be defined, you must have both a vertical rise or drop, and a horizontal run.

Evaluate 4a if a =2 so what is the answer

Answers

Answer:

The answer is 8.

Step-by-step explanation:

hope that helps

4a

4(2)

=8

Pleaseeeee help meeee
I will mark brainliste

Answers

Answer:

24

Step-by-step explanation:

Cross-multiply 8 times 9

Then divide the answer to 8 x 9 by 3

Ram has 35 gel pens.. please help this is for kahn academy

Answers

Answer:

After the 35 gel pens??

Step-by-step explanation:

Which point would map onto itself after a reflection across the line y = –x?

(–4, –4)
(–4, 0)
(0, –4)
(4, –4)

Answers

Answer:

its D

Step-by-step explanation:

Answer:

D. (4,-4)

Step-by-step explanation:

because y (the second one) equals x but just with a minus

PLEASE DO IT it is due in 5 minutes

Answers

a) 42x-12
6*7=42. 6*2=12
b) 21y
11+4+6=21
For A the answers are 42x-12 and 6•7x-6•2. For B the answers are 11y+10y and 21y. The work is in the attached picture

How much is 10% of 65 gallons? Write your answer as a decimal number.

Answers

answer: 6.5

10 x 65 = 650
650/100 = 6.5

Answer:

6.5 Gallons

Step-by-step explanation:

If 10% is 6.5 then just divide 65 by 10

Are the events "choosing a black card" from a deck of playing cards and
"choosing a 10" mutually exclusive? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

just yes

Answer:

No

Step-by-step explanation:

There are two black 10’s

Solve the following quadratic equation
2x²+7x=15​

Answers

Answer:

x = - 5 ; x = 3/2

Step-by-step explanation:

Start by subtracting 15 from both sides to get to an equation in standard form:  a x^2 + b x + c= 0  so we can use the quadratic formula to solve for "x".

2 x^2 + 7x - 15 = 0

Then:

[tex]x=\frac{-7+/-\sqrt{49-4(2)(-15)} }{4} \\x=\frac{-7+/-\sqrt{169} }{4}\\x=\frac{-7+/-13}{4}\\x =-5\\or\\x=3/2[/tex]

This is just a made up question I made.

6(2 + 9) - 11

Answers

Answer:

55

Step-by-step explanation:

2+9=11x6=66-11=55

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