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3 years ago

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

Mathematics

1 answer:

Mashcka [7]3 years ago

5 0

9514 1404 393

Answer:

x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

x° = 90° -70°

x = 20

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

x° = 180° -(180° -70°)/2 = 90° +70°/2

x = 125

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The formula to convert Celsius to Fahrenheit is f=9/5c+32 convert 62F to Celsius round to the nearest degree.

larisa86 [58]

The Answer is B= 17c

62 = 9/5c + 32

62 - 32 = 30

30 / (9/5) = 17

C = 17

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3 years ago

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

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3 years ago

What is the next number 9 16 24

Gemiola [76]

Its gonna be 9,16,24,33

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3 years ago

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Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his hou

creativ13 [48]

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

4 0

3 years ago

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Zinaida [17]

Answer:

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