Answer:
80
Step-by-step explanation:
1/3 of 120 is 40
If 40 leave
People left in party=120-40=80
Answer:
13.5x - 5
Step-by-step explanation:
Answer:
These two figures are similar because
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is
, and for the bigger figure the ratio is
which upon simplification reduces to
.
So we see that the ratios are equal. Thus the figures are similar.
Answer:
It's alternate exterior
Step-by-step explanation:
Interior:means its on the inside
Exterior:means on the outside
Let

. Then

. By convention, every non-zero integer

divides 0, so

.
Suppose this relation holds for

, i.e.

. We then hope to show it must also hold for

.
You have

We assumed that

, and it's clear that

because

is a multiple of 3. This means the remainder upon divides

must be 0, and therefore the relation holds for

. This proves the statement.