A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.
B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.
C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89
Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees
Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
Y = 9/2x is in slope intercept form (y = mx+b) where m represents the slope and b represents the y-intercept.
In this case, 9/2 is the slope.
Answer:
the answer is 36 years old
Step-by-step explanation:
first you would put them in an equation like this... 41-5
then you would subtract them and get 36 years old
Answer:
Step-by-step explanation:
a) The probability that the hand contains exactly one ace
No of ways of selecting one ace and four non ace would be
=
i.e. α=778320
b) the probability that the hand is a flush
No of ways of getting a flush is either all 5 hearts or clubs of spades or dice
= 
ie. β=5148
c) the probability that the hand is a straight flush
In each of the suit to get a straight flush we must have either A,2,3,4,5 or 2,3,4,5,6, or .... or 9,10, J, q, K
So total no of ways = 
γ=46332
