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ValentinkaMS [17]
2 years ago
6

Find the value of YZ

Mathematics
1 answer:
ASHA 777 [7]2 years ago
5 0

Answer:

YZ = 44

Step-by-step explanation:

Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:

WA * AX = ZA * AY

We can substitute the values we are given to get:

(2x - 6)(21) = (x + 1)(30)

42x - 126 = 30x + 30

12x - 126 = 30

12x = 156

x = 13

Using segment addition postulate, we can say that:

YZ = YA + AZ

And we can plug in what we know from the diagram:

YZ = 30 + x + 1

We can also plug in the value of x, 13

YZ = 30 + 13 + 1 = 44

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Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil
TEA [102]

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

<h3>What is Anna's time?</h3>

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

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2 years ago
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What is the least positive integer divisible by the numbers 2, 4, and 7?
Viefleur [7K]

Answer:

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Step-by-step explanation:

We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM

First lets List all prime factors for each number.

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Prime Factorization of 4 is:

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3 years ago
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