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slega [8]
3 years ago
7

A bag contains 6​ cherry, 3​ orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probabilit

y.
2​ orange, 1 lemon
Mathematics
1 answer:
stira [4]3 years ago
8 0
P(2oranges and 1lemon)=2/3 (orange) · 1/2 (lemon)
P(2O and 1L) = 2/6 = 1/3
1/3 chance of getting 2 orange and 1 lemon out of the bag.
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A) AB ⊥ AC

B) The triangle is a right triangle.

C) The triangle is an isosceles triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

we have

A(-1,3), B(-5,-1)

substitute in the formula

d=\sqrt{(-1-3)^{2}+(-5+1)^{2}}

d=\sqrt{(-4)^{2}+(-4)^{2}}

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step 2

Find the distance BC

we have

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substitute in the formula

d=\sqrt{(-1+1)^{2}+(3+5)^{2}}

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step 3

Find the distance AC

we have

A(-1,3),C(3,-1)

substitute in the formula

d=\sqrt{(-1-3)^{2}+(3+1)^{2}}

d=\sqrt{(-4)^{2}+(4)^{2}}

d_A_C=\sqrt{32}\ units

step 4

Compare the length sides of triangle

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d_B_C=8\ units

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therefore

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AB ⊥ AC because in a right triangle the legs are perpendicular

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Read 2 more answers
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