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IrinaVladis [17]
3 years ago
7

I need help with number 5 asap!!

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

<MLN = <JLK = 39 degrees (vertical angles are equal)

If JK ║MN then <M = <K = 39 degrees (Alternate interior angles are equal)

In a triangle, sum of all interior angles = 180

61 + 39 +3x + 5 = 180

Combine like terms

3x + 105 = 180

subtract 105 from both sides

3x = 75

divide both sides by 3

x = 25

Answer

x = 25

alekssr [168]3 years ago
5 0
Then divide 95/3. that will give you 31.6repeating

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Dmitry_Shevchenko [17]
Fidn volume
V=hpir^2
d/2=r
1.4/2=0.7=r
height=3.5
V=3.5*3.14*0.7^2
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1.5 times t=5.3851
divide both sides by 1.5
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6 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
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7 0
3 years ago
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
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