Problem 1
<h3>Answers:</h3><h3>angle 6 = 50</h3><h3>angle 7 = 50</h3><h3>angle 8 = 40</h3>
--------------------
Work Shown:
point E = intersection point of diagonals.
x = measure of angle 6
y = measure of angle 8
angle 7 is also x because triangle AED is isosceles (AE = ED)
Focus on triangle AED, the three angles A, E, D add to 180
A+E+D = 180
x+80+x = 180
2x+80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
So both angles 6 and 7 are 50 degrees.
Turn to angle 8. This is adjacent to angle 7. The two angles form a 90 degree angle at point A. This is because a rectangle has 4 right angles.
(angle7)+(angle8) = 90
50+y = 90
y = 90-50
y = 40
angle 8 = 40 degrees
=================================================
Problem 2
<h3>Answers:</h3><h3>angle 2 = 61</h3><h3>angle 3 = 61</h3>
--------------------
Work Shown:
Angle 5 is 29 degrees (given). So is angle 4 because these are the base angles of isosceles triangle DEC (segment DE = segment EC)
angle 3 and angle 4 form a 90 degree angle
x = measure of angle 3
(angle 3)+(angle 4) = 90
x+29 = 90
x = 90-29
x = 61
Angle 2 is congruent to angle 3 since triangle BEC is isosceles (BE = EC), so both angle 2 and angle 3 are 61 degrees each.
Answer:
y = -3x + 2
Step-by-step explanation:
y = mx + b
m = rise/run = -6/2 = -3
(negative graph = negative slope)
b = y-intercept = 2
Given claim: A coin favors heads when tossed, and there are
90 heads in 100 tosses.
Answer: There isn’t sufficient evidence to support this
claim, because the coin is a fair coin.
Given claim: Movie patrons have IQ scores with a standard
deviation that is less than the standard deviation of 15 for the general
population. A simple random sample of 40 movie patrons result in IQ scores with
a standard deviation of 14.8.
Answer: Claim is either true or false
In a rare event rule, <span>we conclude that the
assumption is probably not correct, if, under a given assumption, the
probability of a particular observed event is exceptionally small. </span>
