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2 years ago

Find the measure of DB (a curvy line is on top of DB btw)

Mathematics

1 answer:

klasskru [66]2 years ago

5 0

Answer:

Arc DB = 146

x = 5

Step-by-step explanation:

Remark

The relationship between the large arc, the small arc and the intersecting angle is

1/2 (large arc - small arc) = intersecting angle.

Givens

Large arc = 25x + 21

Small arc = 96

Solution

1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2

25x + 21 - 96 = 10 x Combine

25x - 75 = 10x Subtract 25x from both sides

-75 = 10x - 25x

-15x = -75

x = 5

DB = 25x + 21

DB = 25*5 + 21

DB = 125 + 21

DB = 146

Tell me if this is not in the choices.

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2 years ago

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kotegsom [21]

The best way to solve this problem is with a simple equation: part = percent (in decimal form) x whole

In this problem, we're trying to solve for the whole amount that the camera can hold, so we'll assign that the variable w.

We can use the information they gave us - 96 is the part, and 24% is the percent. We'll convert that to decimal form - 0.24

Then, we just plug these values back into the above equation:

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Divide both sides by 0.24 to get w on it's own, and you have your answer!

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Therefore, the memory card can hold up to 400 pictures.

Note: this equation is super helpful. It's good to have on hand for any problem involving percents, because you can solve for the part, percent, or whole depending on the problem.

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