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mixas84 [53]
3 years ago
10

Tangent Be and secant BC intersect at point B. Find the value of x. If necessary, round to the hundredths place.

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0

The value of x is 15.56.

Solution:

Tangent and Secant theorem:

If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.

BE = 22 BD = x, CD = x

BC = x + x = 2x

By the tangent and secant theorem,

BE^2=BD \cdot BC

22^2=x \cdot 2x

484= 2x^2

Divide by 2 on both sides of the equation, we get

242=x^2

Take square root on both side of the equation.

x = 15.56

Hence the value of x is 15.56.

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79 degrees

Step-by-step explanation:

First, you want to find the interor angles.

Since there are 180 degrees in a triangle...180-(27+52)=101 degrees

And the bottom line is a straight line so it's equal to 180 degrees as well.

180-101=79 degrees

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A circle with radius r is inscribed into a right triangle. Find the perimeter of the triangle if the length of the hypotenuse is
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Step-by-step explanation:

4=(a+b-24)/2

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32+24=56

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3 years ago
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Nour and Rana are shopping for a Christmas tree. They are deciding between 222 different types of trees (real and fake) and 444
ioda

From what the statement says the question seems to be to represent the sample space of randomly choosing a type of tree and a color for the decorations

In this case, what we must do is identify the events that exist and the options that each event has, like this:

Event 1:

Tree type: real or fake

Event 2:

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Since in an event there are 2 options and the other 4 options, the final number of options would be 2 * 4, that is, 8 options, represented below:

(real, W), (real, S), (real, G), (real, P), (fake, W), (fake, S), (fake, G), (fake, P)

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James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially ha
lesantik [10]

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

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3 0
3 years ago
What are the co-ordinance of point Q
dimulka [17.4K]

Answer:

<em>(6,3), last option</em>

Step-by-step explanation:

<u>Symmetry To A  vertical line</u>

If the point Q (unknown) is symmetric to point P(2,3) with respect to x=4, it means it's located at the same distance to the line as P while keeping the same y-coordinate.

The point P has a distance of 4-2=2 units with respect to x=4. Q must have its x coordinate equal to 4+2=6, and keeping the y-coordinate equal to 3

The coordinates of Q are (6,3), last option

3 0
3 years ago
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