Answer:
Step-by-step explanation:
I encourage my Geometry students to be a bit more thorough than this proof table allows, but we can get it done anyway.
1. ∠2≅∠4 Given
2. m║n If corresponding angles are congruent, then the
lines cut by a transversal are parallel
3. ∠1≅∠3 Alternate interior angles are congruent
Answer:The first issue one most notice is the words “at least” We are trying to find the probability of at least 2 girls.
The five possible outcomes for girls are 0,1,2,3,4. The odds of 1 girl out of 4 is .25 and the odds of 1 boy out of 4 is .25 (same as the odds of 3 out of 4 girls). Therefore the odds of 1 OR 3 girls must be .5 because 1 girl and 3 girls each has a .25 probability. If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number.
The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125)(—-.5 to the 4th power—— ), plus the probability of 3 girls (.25)——(the same as the probability of 1 boy)—- plus the probability of 2 girls. Since we know the probability of zero boys is .0625 (again, .5 to the 4th power) and the probability of 1 boy is .25 (the same as the probability of 3 girls )———then the probability of 2 girls is ((1 minus (the sum of the probability of 0 OR 1 boys) plus the (sum of the probability of 3 or 4 girls)), or 1-((.0625+.25)+(.0625+.25)), or .375. We had to derive the probability of two from the other known probabilities. Therefore .375+.25+.0625=.6875 is the probability of both AT LEAST 2 girls and also NO MORE than 2 boys. Notice this adds up to 1.375 because the probability of the central number 2 (i.e., .375) appears on both sides.
Paralell has same slope
perpendicular has slope that multiplies to -1
y=mx+b
m=slope
y=4x+1
paralell is
y=4x+b
find b
(2,0)
x=2
y=0
0=4(2)+b
0=8+b
minus 8
-8=b
y=4x-8
perpendicular
4 times what=-1
-1/4
y=-1/4x+b
(0,-3)
x=0
y=-3
-3=-1/4(0)+b
-3=b
y=-1/4x-3
paralel to y=4x+1 and goes through (2,0) is y=4x-8
perpendicular to y=4x+1 and goes through (0,-3) is y=-1/4x-3