1.
a.2,3,5 450/2=225 450/3=150 450/5=90
b.none
c.2 only 18,652/2=9,326
d.5 only 455/5=91
2.
a.3 and 5
b.3 and 7
c.19
d.7 and 21
3.
a.30
b.18
c.24
d.30
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
Then, just solve for x:
You can check that by plugging it back into both:
If you need part A, draw a person and label them 6 feet tall and a shadow coming off of him that is five feet long and draw a basketball hoop that and label it X feet tall and draw a shadow coming from it that is 8 feet long. To solve, you use proportions 6/5=X/8 solving this you get X=9.6 feet which is the height of the rim. Therefore, the rim does not meet regulation height, since the required height (10 feet) is greater than the actual height (9.6 feet).
Answer:
w > -14
Step-by-step explanation:
Divide both sides by -6.
-6w/-6 = w
84/-6 = 14
Since it's an equality, if the coefficient of the variable is negative, when you divide the sign flips to the opposite.
(x+y-3)(x+y+3) = x^2+xy+3x+xy+y^2+3y-3x-3y-9 = -9+x^2+y^2+2xy
