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2 years ago

Is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°

1 answer:

6 0

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

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Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

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Step-by-step explanation:

Let the quantity of frosted donuts = $x$

Let the quantity of glazed donuts = $y$

Let the quantity of custard filled donuts = $z$

As per question statements, following equations can be made:

$x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)$

Putting $x=2x$ in (1) and (2):

$y+3z=12 .... (4)\\y+9z=18 .... (5)$

Subtracting (4) from (5):

$6z=6\\\Rightarrow z =\bold{1}$

By equation (3):

$x=\bold{2}$

By equation (1):

$y=\bold{9}$

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

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Answer:

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Step-by-step explanation:

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