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zavuch27 [327]
3 years ago
15

Find the value of x.

Mathematics
2 answers:
Paul [167]3 years ago
6 0

Hello!

As we are looking for the opposite side and hypotenuse, we will use the sine.

sin30=1/2

This gives us the equation below.

1/2= 5/x

1/2x=5

x=10

Therefore, x=10.

I hope this helps!

RSB [31]3 years ago
3 0
Since an angle and a side have been given, we use the formula on the diagram

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Find KL and show work
MissTica

Answer:

<u>Secant</u>: a straight line that intersects a circle at two points.

<u>Intersecting Secants Theorem</u>

If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.

From inspection of the given diagram:

  • M = Exterior point
  • MK = secant segment and ML is its external part
  • MS = secant segment and MN is its external part

Therefore:

⇒ ML · MK = MN · MS

Given:

  • MK = (x + 15) + 6 = x + 21
  • ML = 6
  • MS = 7 + 11 = 18
  • MN = 7

Substituting the given values into the formula and solving for x:

⇒ ML · MK = MN · MS

⇒ 6(x + 21) = 7 · 18

⇒ 6x + 126 = 126

⇒ 6x = 0

⇒ x = 0

Substituting the found value of x into the expression for KL:

⇒ KL = x + 15

⇒ KL = 0 + 15

⇒ KL = 15

6 0
2 years ago
Read 2 more answers
June has $1.95 in dimes and nickels. She has a total of 28 coins. how many of each type of coin does she have?
Dovator [93]

Answer:

11 dimes, 17 nickels

Step-by-step explanation:

d + n = 28, put one variable by itself on a side, d = 28 - n

.10d + .05n = 1.95

Sub the first equation into the second

.10(28 - n) + .05n = 1.95

2.8 - .10n + .05n = 1.95

2.8 - .05n = 1.95

-.05n = -0.85

n = 17 nickels

d + 17 = 28

d = 11  11 dimes

7 0
2 years ago
Read 2 more answers
Can someone please help thanks
USPshnik [31]
Ohh this is easy ok so count the numbers and all of them are the number part like 16-32 16+16=32 keep going on like that for both problem and explain how u did it so ur teacher knows you get it now
8 0
3 years ago
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If CP=Rs. 1200 and loss =10%, find loss amount.​
goldfiish [28.3K]

Answer:

lost 120

Step-by-step explanation:

10% of 1200 is 120 so you subtract 120 from 1200

7 0
3 years ago
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Cory's average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?
Luda [366]
You should be able to multiply 91 by 8 to get the sum of the first 8 tests, then add the score on the 9th test. Then to get the average of the sum of the 9 tests you need to divide it by 9.
((91*8)+78)/9=89.555555555555.... So, 90%
3 0
3 years ago
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