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Leokris [45]
2 years ago
7

triangle MNO is an isosceles triangle in which only one angle measures 88.6. what is the angle measure of one of the two congrue

nt angles?
Mathematics
1 answer:
Aleksandr [31]2 years ago
4 0

Answer:

45.7°

Step-by-step explanation:

  • area of a triangle= 180°
  • so,180- 88•6=91•4
  • since the congruent angles are equal,you will divide 91•4 by 2
  • 91•4÷2=45•7
  • ans=45•7°
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Simplify: 3gh^2 x 4g^3h^3
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Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of
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In a parking lot there are motorcycles and cars. You count 98 wheels, and your friend counts 30 vehicles. How many cares are the
nata0808 [166]
Car normally has 4 wheeles
motorcycles normall have 2 wheels

c=cars
m=motorcycles

4c+2m=98
c+m=30

multiply second equation by -2 and add to the original equaiton

-2c-2m=-60
4c+2m=98 +
2c+0m=38


2c=38
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sub

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3 years ago
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An athletic field is a 60 yd60 yd​-by-120 yd120 yd ​rectangle, with a semicircle at each of the short sides. A running track 101
gregori [183]

Distance of each track are:

D₁ = 428.5 yd

D₂ = 436.35 yd

D₃ = 444.20 yd

D₄ = 452.05 yd

D₅ = 459.91 yd

D₆ = 467.76 yd

D₇ = 475.61 yd

D₈ = 483.47 yd

<u>Explanation:</u>

Given:

Track is divided into 8 lanes.

The length around each track is the two lengths of the rectangle plus the two lengths of the semi-circle with varying diameters.

Thus,

D = 2(120) + 2. \frac{1}{2} \pi d\\\\D = 240 + \pi d

Starting from the innermost edge with a diameter of 60yd.

Each lane is 10/8 = 1.25yd

So, the diameter increases by 2(1.25) = 2.5 yd each lane going outward.

So, the distances are:

D₁ = 240 + π (60) → 428.5yd

D₂ = 240 + π(60 + 2.5) → 436.35 yd

D₃ = 240 + π(60 + 5) → 444.20 yd

D₄ = 240 + π(60 + 7.5) → 452.05 yd

D₅ = 240 + π(60 + 10) → 459.91 yd

D₆ = 24 + π(60 + 12.5) → 467.76 yd

D₇ = 240 + π(60 + 15) → 475.61 yd

D₈ = 240 + π(60 + 17.5) → 483.47 yd

4 0
4 years ago
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