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Whitepunk [10]
3 years ago
13

Determine if line AB is tangent to the circle. Please help!!

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

B. Tangent

Step-by-step explanation:

Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.

To confirm if it's a right angled triangle it should follow Pythagoras Theorem.

Which states square of hypotenuse = sum of squares of other two legs

12 {}^{2}  + 16 {}^{2}  = 20 { }^{2}  \\ 144 + 256 = 400 \\ 400 = 400

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

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Jim has three times as many comic books as Charles Charles has two thirds as many as Bob Bob has 27 books how many comic books d
Lorico [155]

Charles has 2/3 of bob

 bob has 27

 so 2/3*27 = 27 *2 = 54/3 = 18

Charles has 18

Jim has 3 times as many as Charles so he has 3 x 18 = 54

 jim has 54 comic books

6 0
3 years ago
Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?
mixer [17]

Answer:

\angle ABD =42.4^{\circ}

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)

Since we are given that ∠ABC ≅ ∠CBD

So, \frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3

\angle CBD = (4x)=4(5.3)=21.2^{\circ}

\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}

Hence \angle ABD =42.4^{\circ}

8 0
3 years ago
А<br> x+3y = 5<br> 4х + 12y = 20<br> о
gregori [183]

Answer:

x + 3y = 5

x + 3y = 5

Thus the equations are equal and they are consistent, graph is coinciding , and they have infinite solutions

3 0
3 years ago
Estimate the value of 23.4 x 13.9 / 0.18
saul85 [17]

Answer:

(23 x 14 )/ .2 = 1610

Step-by-step explanation:

6 0
3 years ago
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What is the exact value of sinA?<br><br> sinA=
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Step-by-step explanation:

5 0
2 years ago
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