Mathematics, 22.07.2019 17:30 katy3865

In the circle ab=19, bc=10, and cd=5. the diagram is not drawn to scale. what is the value of xx=23x=53x=38x=58

Answers: 2

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We know that
If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

so
BC*AC=CD*(x+CD)
AB=19
BC=10
CD=5
AC=AB+BC> AC=29
(x+CD)=BC*AC/CD> 10*29/5> 58
(x+CD)=58> x=58-CD> x=58-5> x=53

Answer from: ijohnh14

To solve the problem above, you must apply the proccedure shown below:

1. You have that in the circle AB=19, BC=10, and CD=5.

2. Then, to calculate the value of "x", you must apply the Intersecting secant theorem, as below:

(BC)(AC)=(CD)(xC)

BC=10

AC=AB+BC
AC=19+10
AC=29

CD=29

xC=x+CD=(5+x)

3. Now, you must susbtitute the values shown above into the formula and then, you must clear "x", as below:

(10)(29)=(5)(x+5)
290=5x+25
290-25=5x
265=5x
x=265/5

4. Then, you have that the value of "x" is:

x=53

5. Therefore, as you can see, the answer is:

x=53

Answer from: Quest

there are no answer choices

step-by-step explanation:

Answer from: Quest

$655.61 which is option c

step-by-step explanation:

price of house = $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

= $\frac{3.5*146000}{100}$

=$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

=$35770

remaining money = $146000-35770

=$110230

new mortgaged payment = 5 % of 110230

= $\frac{5*110230}{100}$

=$655.61

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In the circle ab=19, bc=10, and cd=5. the diagram is not drawn to scale. what is the value of xx=23x...