Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and the corresponding angles are congruent
In this problem Triangles PQT and RQS are similar by AA Similarity Theorem (The three angles are congruent)
therefore

Answer:
1092.50 account value
142.50 interest
Step-by-step explanation:
to solve compound interest questions we use the formula A=P(1+rt) where P is the principal (initial investment) r is the rate or the return (7.5%) and t is the interval or time so 2 years
now putting it together we get A=950(1+ (7.5x2)) = 1092.50 $
the interest is this value A minus the initial investmetn so 1092.50 - 950 = 142.50$
Answer with explanation:
Since the motion of the ball is projectile motion we shall use the equations for projectile motion.
The maximum height achieved by the projectile is given by
Applying the values we get

The range of the projectile is given by

Applying values we get

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.
(The height of the players is not taken into account since no info is given about their height.)
4 divided by 6 is 0.6666666667
Answer:
Step-by-step explanation:
-x + 2y = 8
-2x + y = -5
2x - 4y = -16
-2x + y = -5
-3y = -21
y = 7
-x + 14 = 8
-x = -6
x = 6
(6,7)