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3 years ago

Given: line DR tangent to Circle O. If m angle C = 63°, then m angle BDR =

Mathematics

2 answers:

myrzilka [38]3 years ago

6 0

Based on the given figure above, we can say that the measure of angle BDR is also 63°. R is meant to be tangent to the circle so, this makes the angle BDR equal to C. Angle C is half of the arc as well as BDR. Hope this is the answer that you are looking for.

emmasim [6.3K]3 years ago

5 0

Answer:

m∠BDR=63°

Step-by-step explanation:

It is given that line DR tangent to Circle O and m∠BCD=63°, then the measure of the angle BDR can be determined as:

Since, angle BDR is made between the chord and the tangent, and we know that the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, therefore

m∠BCD=m∠BDR=63°

Hence, the measure of angle BDR=63°.

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timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

$y=a(x-h)^2+k$ ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

$y=a(x-4)^2+(-7)$

$y=a(x-4)^2-7$

The required equation of the quadratic function is $y=a(x-4)^2-7$ where, a is a constant.

Putting a=1, we get

$y=(1)(x-4)^2-7$

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Therefore, the required quadratic function is $y=x^2-8x+9$ .

6 0

2 years ago

PLEASE HELP! THANKS! The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x. What is the mea

drek231 [11]

So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...

(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
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Now we can substitute 13 into each expression to find the value of each angle...

2x + 1 =
2(13) + 1 =
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3x - 3 =
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39 - 3 = 36 degrees

9x =
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So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.

The smallest is 27 degrees

** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).

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3 years ago

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dezoksy [38]

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