Answer:
AAA (angle-angle-angle) similarity theorem
Step-by-step explanation:
The two given triangles PSR and XYZ, are similar.
And all their angles are also similar.
We can conclude, that both are similar based on AAA similarity theorem.
The AAA (angle-angle-angle) similarity theorem states that two triangles have their corresponding angles equal, if and only if their corresponding sides are proportional.
XZ is proportional to SR. XY is proportional to SP and YZ is proportional to PR.
Volume = length * height * width
= 4 qrt3 + 3 sqrt6 * w
= 12 sqrt18 w
let w = 2 sqrt50 then volume = 2*12 * sqrt 18*50 = 24*30 so this is rational
let w = 4 sqt 12 the v = 48 sqrt12 * sqrt 18 = 48 sqrt30 which is irrational
C and D are rational
answer is B
Let us assume the amount of baskets Joe scored = x baskets.
4 times of x is 4x.
4x+x = 5x.
Therefore, Peter scored = 5x.
Together they scored = 32 baskets.
Sum of Peter score and Joe score = 32.
x+5x = 32.
6x = 32.
Dividing both sides by 6, we get
x = 32/6
= 16/3.
x= 16/3.
<h3>Joe scored = 16/3 baskets.</h3><h3>Peter scored = 5 × 16/3 = 80/3 baskets.</h3>
Answer:
Net A
Step-by-step explanation:
Net A fits best because the other options make an open prism or a prism who's sides overlap.
Answer:
(s-6)/r
option D
Step-by-step explanation:
The slope-intercept form a line is y=mx+b where m is the slope and b is the y-intercept.
Compare y=mx+b and y=cx+6, we see that m=c and c is the slope.
Now we are also given that (r,s) is on our line which means s=c(r)+6.
We need to solve this for c to put c in terms of r and s as desired.
s=cr+6
Subtract 6 on both sides:
s-6=cr
Divide both sides by r:
(s-6)/r=c
The slope in terms of r and s is:
(s-6)/r.
