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bearhunter [10]
3 years ago
6

Someone, please help me with this question.

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

C.  95°

Step-by-step explanation:

Sumplementary angles sum 180°

144° + a = 180°

a = 180° - 144°

a = 36°

121° + b = 180°

b = 180° - 121°

b = 59°

The sum of internal angles of a triangle is 180°

a + b + c = 180°

36° + 59° + c° = 180°

c° = 180° - (36°+59°)

c° = 180° - 95°

c° = 85°

then:

c + n = 180°

85° + n = 180°

n = 180° - 85°

n = 95°

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Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0
raketka [301]

Answer:

f(0)=-2\\f(1)=e-1

Step-by-step explanation:

According to intermediate value theorem, if a function is continuous on an interval [a,b], and if k is any number between f(a) and f(b), then there exists a  value, x=m, where a, such that f(m)=k

In the given question,

Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.

Here,

f(x)=e^x-3+2x

Put x=0

f(0)=e^0-3+2(0)=1-3+0=-2

Put x=1

f(1)=e^1-3+2(1)=e-3+2=e-1

3 0
2 years ago
Need help please help
lilavasa [31]

Answer:

27 of the pets are dogs.

Step-by-step explanation:

Real easy way to do this, treat 45 (the total) as 100. So, do 45/100 then multiply the result of that by 60, and you end up with 27.

45/100=0.45

0.45*60=27

7 0
3 years ago
The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about ​14.29%. What is the
Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

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

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0
2 years ago
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dedylja [7]

Answer:

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Step-by-step explanation:

8 + 16 = 24

8 × 3 = 24

That's what I thought

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Crazy boy [7]
4.5. because ⁼3=9, and 9 divided by 2 is 4.5
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