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2 years ago

Point D is in the interior of ∠ABC. What is m∠DBC?

Mathematics

1 answer:

Rudiy272 years ago

3 0

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

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FIRST ANSWER GETS BRANLIEST

Darina [25.2K]

There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.

CostA = 90 + .40(miles)

CostB = 30 + .70(miles)

We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:

90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.

-30 -30 Subtract 30 from both sides.

60 + .4(miles) < .7(miles) Simplify

-.4(miles) -.4(miles) Subtract .4(miles) from both sides

60 < .3(miles) Simplify

/.3 /.3 Divide both sides by .3

200 < miles Simplify

So for A to cost less the number of miles must be greater than 200.

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2 years ago

Can someone help ?

andreev551 [17]

Answer:

A 234.11

Step-by-step explanation:

$= 234.11148454551 feet^{3}$ is what you get lol

8 0

2 years ago

Read 2 more answers

Write the following number words in symbols. 1.one hundred twenty-seven thousand, four hundred fifty-nine 2.Two hundred six mill

olga2289 [7]

1) 127,459
2) 206,320,096
3) 322.38

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3 years ago

A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?

DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals $2.20\times 10^{8}\,Pa$ . The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress ( $\sigma$ ), measured in pascals, in the wire with circular cross-section is:

$\sigma = \frac{4\cdot F}{\pi\cdot D^{2}}$ (1)

Where:

$F$ - Axial force, measured in newtons.

$D$ - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that $F = 800\,N$ and $D = 0.002\,m$ , then the axial stress experimented by the titanium wire is:

$\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}$

$\sigma \approx 2.546\times 10^{8}\,Pa$

Since stress is greater than ultimate strength, the wire will break.

3 0

2 years ago

In a city of 64,000 people, there are 20,000 people under 25 years of age. What percent of the population is under 25 years of a

tatiyna

31.25% of the population is under 25 years of age. To figure this out, divide 20,000 by 64,000. Then, multiply that answer by 100 to get a percentage. Hope this helps!!

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2 years ago