Given:
BD is parallel to XY.
One of the angle is 85°
To find:
The value of y.
Solution:
Parallel lines BD and XY cut by a transversal line.
Angle y and 85° are alternate interior angles.
Alternate interior angle theorem:
If two parallel lines are cut by a transversal line, then the pairs of alternate interior angles are congruent.
⇒ y = 85°
The value of y is 85.
y = mx +b
y = -2x +0
the y intercept is 0
so one point is (0,0)
the slope is -2
we go down 2 to the right 1 (1,-2)
we now have 2 points
2 points make a line
The outcome for the flip is 2.
Probability:
Probability refer the possibility of the event required.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given,
There are 4 coins.
You get a dollar for every head. all four coins are flipped.
To find the outcome of the flips.
The possible outcomes from the initial flip are:
"4 heads" x 1
"3 heads" x 4
"2 heads" x 6
"1 heads" x 4
"0 heads" x 1
This gives an expected return of
=> (4 + 12 + 12 + 4 + 0)/16 = 2
So, the outcome is 2.
Either if you keep it then you have 2 as outcome of the flips, otherwise if you reflip the coins then you will get the same probability for it also.
To know more about Probability here.
brainly.com/question/11234923
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Answer:
≈ 11.78 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
( cancel 2π on numerator/ denominator )
= 15 × 
= 
≈ 11.78 in ( to 2 dec. places )
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