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Dmitrij [34]
3 years ago
6

Pls help (9th honors geo - circles)

Mathematics
1 answer:
Mariana [72]3 years ago
6 0

• Angles DXC and AXB form a vertical pair, so they are congruent and have the same measure.

• ∆ABD is isosceles, since it's given that AD and BD are congruent. This means the "base angles" BAD and ABD have the same measure; call this measure <em>x</em>.

• The measure of angle ADB can be computed by using the inscribed angle theorem, which says

m∠ADB = 1/2 (100°) = 50°

(that is, it's half the measure of the subtended arc AB whose measure is 100°)

• The interior angle to any triangle sum to 180° in measure. So we have in ∆ABD,

m∠ADB + 2<em>x</em> = 180°

Solve for <em>x</em> :

50° + 2<em>x</em> = 180°

2<em>x</em> = 130°

<em>x</em> = 65°

• Use the inscribed angle theorem again to find the measure of angle BAC. This will be half the measure of the subtended arc BC, so

m∠BAC = 1/2 (50°) = 25°

• Now in ∆ABX, we have

m∠AXB + 25° + 65° = 180°

m∠AXB = 90°

Hence m∠DXC = 90°.

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Ten less than half of a number(x) is 6.
Likurg_2 [28]

Answer:

x = 32

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Given the following data;

Unknown number = x

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3 0
3 years ago
I need help!!! I just need the answer for p and i also need the answer step by step!!
klasskru [66]

Answer:

  x = 18

  m = 21.2

  p = 31.8

Step-by-step explanation:

The ratio of the left-side length to the bottom-side length is the same for both triangles:

  x/11.2 = (x +27)/28

  28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28

  16.8x = 302.4 . . . . . . . subtract 11.2x

  x = 18 . . . . . . . . . . . . divide by 16.8

__

The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.

  x^2 +11.2^2 = m^2

  m = √(324 +125.44) = √449.44 = 21.2

__

The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...

  p/27 = m/x

  p = 27(21.2/18) = 31.8

The lengths of the unknown sides in the figure are ...

  x = 18

  m = 21.2

  p = 31.8

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2 years ago
What is 1/2 of 8 what is 1/3 of 12
Anit [1.1K]
1/2 of 8 is 4 and 1/3 of 12 is 4 :)) have a nice day
7 0
2 years ago
Read 2 more answers
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