All categories

2 years ago

How do I get the answer to this step by step?

Mathematics

1 answer:

AURORKA [14]2 years ago

5 0

Answer:

Step-by-step explanation:

The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,

5x+3+9x-20 = 151 and

14x - 17 = 151 and

14x = 151 + 17

14x = 168 so

x = 12

If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:

5(12) + 3 = 63 and

9(12) - 20 = 88 and

88 + 63 = 151 as it should.

You might be interested in

A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

3 0

4 years ago

The United States has 435 members of the House of Representatives in Congress. If there are 325.7 million people in the country,

drek231 [11]

Answer:

$1.36\times 10^{-6}:1$

Step-by-step explanation:

We have been given that the United States has 435 members of the House of Representatives in Congress. There are 325.7 million people in the country.

To find the ratio of members to the people, we will find compare both numbers.

1 million equals 1,000,000.

$\text{325.7 million}=325.7\times 1,000,000$

$\text{325.7 million}=3257,000,000$

Ratio of members to the people:

435: 3257,000,000

$0.0000013355848941:1$

$1.3355848941\times 10^{-6}:1$

$1.36\times 10^{-6}:1$

Therefore, our required ratio would be $1.36\times 10^{-6}$ members per person.

3 0

3 years ago

John has $1 in a savings account that earns 5% interest compounded annually

kiruha [24]

Answer:

16 cents

Step-by-step explanation:

A = P (1 + r)n

A = $1 (1 + 0.05)3

A = $1 x 1.16

A = $1.16

To find the compound interest only;

Compound Interest = Final Value - Initial Value

Compound Interest = $1.16 - $1

Compound Interest = $0.16

Hence the compound interest John will earn in his savings account will be 16 cents.

3 0

4 years ago

The maritime museum has 100 ship models. Visitors can see 90% of the ships in a special exhibit. How many ships can visitors see

DochEvi [55]

90% of 100 = 0.9 x 100 = 90

------------------------------------------------
Answer: The visitor can see 90 ships.
------------------------------------------------

4 0

3 years ago

Describe in detail two different real-world situations in which you could use the Pythagorean Theorem.

omeli [17]

Answer:

you can use it in architecture and construction

Step-by-step explanation:

say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle. I hope this helps!

5 0

3 years ago

Read 2 more answers