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sergiy2304 [10]
3 years ago
5

9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 1), and KJ = 28, find L.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0

Answer:LJ = 18 + 28 = 46

Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

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How much of the circle is shaded? Write your answer as a fraction in simplest form
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Answer:

11/20

Step-by-step explanation:

Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.

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Wendy goes to the gym every 4 days and swims every 6 days. If she went to the gym and swam today, in how many days will she do b
Mice21 [21]

In 12 days, Wendy will do the both again.

Step-by-step explanation:

Given,

Wendy goes to gym every 4 days

Wendy swims every 6 days

We will find the least common multiple of both the numbers in order to determine the number of days in which she will do both.

4 = 4,8,12,16,20,....

6 = 6,12,18,24,.....

Therefore;

The least common multiple of 4 and 6 is 12.

Thus,

In 12 days, Wendy will do the both again.

Keywords: multiples, LCM

Learn more about multiples at:

  • brainly.com/question/10196212
  • brainly.com/question/1021953

#LearnwithBrainly

6 0
3 years ago
What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

5 0
2 years ago
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