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PSYCHO15rus [73]
3 years ago
9

Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

5 * 13.9 = 7 * x\\69.5=7x\\x=\frac{69.5}{7}\\x=9.93

Thus x = 9.93

last answer choice is right.

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Employees salary [$}: 30,000, 30,000, 35,000, 35,000, 40,000, 40,000.

CEO Salary: $70,000.

The correct answer is this: BOTH JAN AND MARCY ARE CORRECT.

Jan says the employee average salary is $35,000. This is correct as shown below:

Average employee salary = 30,000 + 30,000 + 35,000 +35,000 + 40,000 + 40,000 / 6 = 210 / 6 =  $35,000.

Marcy says the average salary of all company members is $40,000. This is also true as shown below.

Average salary of all company members = 30,000 + 30,000 +35,000 + 35,000 + 40,000 + 40,000 + 70,000 / 7 = 280 / 7 = $40,000.

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3 years ago
If a transformation moves points only up or down, how do the coordinates of the point change? What can you conclude about the co
yarga [219]
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3 years ago
How would you solve 3x^2-12=0?
Gennadij [26K]

                                                                                 3x^2 - 12  =  0

Personally, I would divide each side by 3                x^2 - 4  =  0

Then I would add 4 to each side                              x^2        =  4

Then I would take the square root of each side:     x  =  +4
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Having found both solutions, I would relax with a cup of tea.

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During January 2012, 50 000 new vehicles were sold in Ontario. About 20% of these were leased. How many vehicles were leased?
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Answer:

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Step-by-step explanation:

20 percent of 50,000 is 10,000.

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2 years ago
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Answer:

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Step-by-step explanation:

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Take the square root: x=20

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3 years ago
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