1. Alternate exterior angles
2. Vertical angles
3. Alternate interior angles
Hope that helped :)
Answer:
TRUE
Step-by-step explanation:
We are given 2 triangles, ∆ABC and ∆DEF.
For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.
From the information given, the following are the set of corresponding angles:
<B = <E = 31°
<B = <D = 90°
<C = <F = 59° [180 - (90+31)]
The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).
Answer:
8 family members. Average of 2.6 fish per person.
Step-by-step explanation:
How many family members caught fish? Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).
3 + 1 + 0 + 4 = 8 family members.
Average number of fish caught <u>per person</u>. This is the total number of fish caught divided by the total number of people.
This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.
Multiply number of fish (column 1) by the number of people (column 2):
1 x 3 + 2 x 1 + 3 x 0 + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.
21 fish. 8 people. On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.
Hint: the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.
Good Luck!
Without further info, like distances
check the picture
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.
The circle area is
and denote the sector area as
.
Then
(the ratio between area is the same as the ratio between coresponding angles).
.
