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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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PLEASE HELP WHEN YOU SEE THIS
Dennis_Churaev [7]

Answer:

<em>~ m∠1 = 35 degrees ( ° ) ~</em>

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ <em>m∠1 = 180 - 145 = 35 degrees ( ° )</em>

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such      ⇒     m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ <em>360 = 360</em>

8. <em>This proves that the m∠1 = 35 degrees ( ° )</em>

8 0
3 years ago
Dots sells a total of 277 T-shirts ($2) and shorts ($3). In April, total sales were $656.
icang [17]

Answer:

Shorts = 112 and t shirts = 165

Step-by-step explanation:

Let S = shorts

Let T = t shirts

T + S = 277

$2T + $3S = $656

-2(T + S) = 277          so    -2T -2S = -544

2T + 3S = 656          so      2T + 3S = 656

                                         ------------------------

SO:  (subtract T's cancel out)   1S = 112

                                           divide by 1  so S = 112

Plug S into the top equation: T + s = 277   T + 112 = 277  so T = 165

5 0
2 years ago
Monthly spending : $46,$62,$63,$57,$50$42$56$40 its median, mode and range
ozzi
Mean = $52
median = $53
no mode
range = 63 - 40 = $23
6 0
3 years ago
Suppose a man offered to work for 30 days at the following salary: one cent for the first day two cents for the second day four
Ivahew [28]
It would be to little because it would only be 30 cents
8 0
3 years ago
Please help! See algebra question..
zhenek [66]

Answer:

n=-10

Step-by-step explanation:

n+3=-7

n=-7-3

n=-10

this helps thank you

branlist please

8 0
2 years ago
Read 2 more answers
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