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noname [10]
3 years ago
13

PLZ HELP ASAP TANGENTS OF CIRCLES

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0
First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O. 
 
    m∠O = 2 (65°) = 130°

Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°. 

     m∠O + m∠C + m∠B + m∠A = 360°

Substituting the known values,
     130° + 90° + 90° + m∠A = 360°

The value of m∠A is equal to 50°.

<em>Answer: 50°</em>
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The smallest number that has 3,7 and 11 as prime factors
andreyandreev [35.5K]

Answer:

231

Step-by-step explanation:

Since prime numbers are always relatively prime, we can just multiply them together. 3*7*11=21*11=231

4 0
3 years ago
Can I please have help with question 2) a and b
Ulleksa [173]

Answer:

\frac{10\sqrt{6} }{3} and \frac{11\sqrt{3} }{3}

Step-by-step explanation:

(a)

A = \frac{1}{2} × 4\sqrt{2} × \frac{5}{\sqrt{3} }

   = 2\sqrt{2} × \frac{5}{\sqrt{3} }

   = \frac{10\sqrt{2} }{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

= \frac{10\sqrt{6} }{3} units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4\sqrt{2} )² + (\frac{5}{\sqrt{3} } )²

    = 32 + \frac{25}{3}

    = \frac{96}{3} + \frac{25}{3}

    = \frac{121}{3} ( take the square root of both sides )

h = \sqrt{\frac{121}{3} } = \frac{11}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

h = \frac{11\sqrt{3} }{3}

 

7 0
3 years ago
Simplify (4x − 6) − (5x + 1). (1 point)
jok3333 [9.3K]

Answer:

-x -7

Step-by-step explanation:

(4x − 6) − (5x + 1)

Distribute the minus sign

(4x − 6) − 5x - 1

Combine like terms

4x-5x   -6-1

-x -7

6 0
3 years ago
Neeeeedd help hurry please
Alona [7]

Answer:

Step-by-step explanation:

Sslsl

6 0
3 years ago
Please answer number 3
Elan Coil [88]

Answer:

1250

Step-by-step explanation:

?/5000 = 25/100 5,000x25= 125,000 divided by 100= 1250.00= 1250

8 0
3 years ago
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