Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
Answer:
140 ways
Step-by-step explanation:
4 x 5 x 7 = 140
Answer:
Step-by-step explanation:
From the law of variation,
y <> 1/x, where <> is the constant of proportionality. Therefore
y = k/x where k is a constant
3 = k/5 and k = 15
To find x when y = 2.5(5/2)
Go back to the second equation
y = k/x
5/2 = 15/x
When you cross multiply
5x = 30.
Divide through by 5,
x = 6.
Answer:
A.
Step-by-step explanation:
for (10,5)
5 - 5 = 2(10 - 10) = 0
for (4,-7)
-7 - 5 = 2(4 - 10) = -12
