Answer:
# 1 Liam is 171 miles from Troy.
#2 The ball bounces 6 times.
Step-by-step explanation:
#1 adding 147 to 47 equals 171. If Liam and Sidney are 124 miles apart and Troy is 47 more miles apart from Liam then it is adding the distance already given to the distance he is from Sidney since she is in the middle.
#2 from 40 to 20 to 20 to 10 from 10 to 5 from 5 to 2.5 from 2.5 to 1.25. Just divide by 2 till it is 2 or less than feet.
Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
6 potted plants can be arranged 720 different ways.
Answer: Choice B 
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Explanation:
The endpoint is at 4.5 and this endpoint is a filled in circle. So we'll have "or equal to" as part of the inequality sign. This is because we are including the endpoint as part of the shaded solution region.
The other part of the inequality sign is "less than" because the shading is to the left of the endpoint. Any point in the shaded region is less than 4.5, or it could be equal to 4.5
Put another way: x is either 4.5 or smaller
We write that as
which is read out as "x is less than or equal to 4.5"
Surrounding this in curly braces tells the reader we're dealing with a set of values. The first part "x |" means "x such that"
All together we end up with the answer
which translates to "x such that x is less than or equal to 4.5"
Answer:
D
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
h² = (9
)² + (9
)² = 162 + 162 = 324 ( take the square root of both sides )
h =
= 18 → D