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m<2 + m<3

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

<4 is an exterior angle of the triangle.

Angles 2 and 3 are the remote interior angles of <4.

m<4 = m<2 + m<3

m<2 + m<3

<4 = <2 + <3

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

<4 = <2 + <3

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi