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gregori [183]
3 years ago
9

What is AB? a. 6cm b. 9cm c. 4cm d. 2.2cm

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

AB = 4 cm

Step-by-step explanation:

The tangent and secant are drawn from an external point to the circle.

Then the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant.

let AB = x, then

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However x > 0 ⇒ x = 4 ⇒ b = 4 CM

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Alik [6]

Answer:

x =15

Step-by-step explanation:

In \odot D, AB and AC are chords which are equidistant from the center of the circle.

\therefore Chord \: AB \cong Chord\: AC

\therefore m \widehat {AB} = m\widehat {AC}

(Equal chords intercept equal arcs)

\because m \widehat {AB} = (10x-23)\degree

\therefore m \widehat {AC} = (10x-23)\degree

m \widehat {AB} +m \widehat {AC} +106\degree = 360\degree

(Arc sum postulate of a circle)

(10x-23)\degree + (10x-23)\degree= 360\degree- 106\degree

2(10x-23)\degree = 254\degree

(10x-23)\degree = 127\degree

10x-23 = 127

10x = 127+23

10x = 150

x = \frac {150}{10}

x =15

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3 years ago
This year Heather watched 20 movies. She thought that 9 of them were very good. Of the movies she watched, what percentage did s
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6 0
2 years ago
7. A patient has a urinary tract infection so Dr. Padron prescribes Ancef. A 1200 mL bag contains 400 mg of Ancef. If the patien
liraira [26]

Answer:

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Step-by-step explanation:

The dose (d) is proportional to amount of fluid received, so ...

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7 0
3 years ago
Simplify 3p^4(4p^4 7p^3 4p 1
inessss [21]
I hope this helps you




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3 0
3 years ago
(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3)<br><br> Enter the answer in science notification
Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})

The numeric part simply yields

3.8\times2.37 = 9.006

As for the powers of 10, you have to add the exponents, using the rule

a^b \times a^c = a^{b+c}

So, we have

10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}

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7 0
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