Answer:
AA Similarity Postulate
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
step 1
Verify the proportion of the corresponding sides
substitute
----> is true
Corresponding sides are proportional
Triangle PQR is similar to Triangle PST
That means
Corresponding angles must be congruent
side QR is parallel side ST
and
----> by corresponding angles
--> by corresponding angles
so
PQR is similar to PST by AA Similarity Postulate
Answer:
3.5 m/s²
Step-by-step explanation:
We are given;
- The force of a bicycle as 3.5 × 10² N
- Mass of the bicycle as 1.0 × 10² kg
We are required to determine the acceleration of the bicycle;
From Newton's second law of motion;
F = ma
Rearranging this;
a = F÷ m
Therefore;
Acceleration = 3.5 × 10² N ÷ 1.0 × 10² kg
= 3.5 m/s²
Thus, the acceleration of the bicycle is 3.5 m/s²
Answer:
1.4 hours
Step-by-step explanation:
Runner A:
Speed = 8.1 mph
Time, = t
Runner B :
Speed = 6.3 mph
Time, = t
Distance apart = 20.16 miles
Distance = speed * time
Distance of Runner A + Distance of runner B = distance apart
8.1t + 6.3t = 20.16
14.4t = 20.16
t = 20.16 / 14.4
t = 1.4 hours
Number of hours, t = 1.4 hours
Answer:
Step-by-step explanation:
Represent Alice with A, her friend with F and you with Y.
From the question, we have:
--- Twice as much Alice means 2 times Alice's earnings
--- 2 less than her friend
Required
Determine the total amount
Substitute 
for A in
Substitute 
for F in
The total amount is calculated by adding the earnings of Alice, her friend and you
<em>Hence, the total earnings is 5d - 2</em>
