We have to deal with the distance in more detail
If the turtle is 11 times faster than the snail, the amount of distance he will cover is 11 times more.
d/(360 - d) = 1/11
11d = 360 - d
12d = 360
d = 30 The Snail covers 30 meters. The turtle covers 11*30 = 330 meters.
Answers
Rate of snail = 30 meters / 40 minutes = 3/4 meter / minute
Rate of turtle = 330 meters / 40 minutes = 8.25 meters / minute.
QP=24 cm
RS=11.25 cm
QS=18.75 cm
<u>Explanation</u>:
Given that TQ bisects <RTP
(1)
consider ΔRQS and ΔRPT
QS||PT,RP and RT are transversals
(alternate angles)(2)
comparing (1) and (2)
and triangle SQT is isocelus
Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)
Therefore <RQS=<RPT(corresponding angles)
<RSQ=<RTP(corresponding angles)
therefore by AA criterion for similarity
ΔRQS~ΔRPT
According to the property of similar triangles
Answer:
(x, y) = (3, 1)
Step-by-step explanation:
given the 2 equations
2x + 3y = 9 → (1)
x + 5y = 8 → (2)
multiplying (2) by - 2 then adding to (1) will eliminate the term in x
multiply (2) by - 2
- 2x - 10y = - 16 → (3)
add 1(1) and (3) term by term
(2x - 2x) + (3y - 10y) = (9 - 16)
- 7y = - 7 ( divide both sides by - 7 )
y = 1
Substitute y = 1 in either (1) or (2) and solve for x
(1) : 2x + 3 = 9 ( subtract 3 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Solution is (3, 1 )
Sled $99.50 X 0.95= $94.525
$94.525+ $99.50 = $194.025
Answer is $194.03
