Exterior angles always add up to 360 degrees so for 30-gon each exterior angles is 12 degrees (360/30)
To get the interior angles you subtract 180 from 12 to get 168 degrees
Answer:
18 smaller bags
Step-by-step explanation:
Each one pound bag becomes 3 one-third pound bags.
So 6 one pound bags will become 6×3=18 one-third pound bags.
Answer:
14.5 feet tall.
Step-by-step explanation:
the shadow increase by 4.5 per inch in height
Step-by-step explanation:
"Of" means multiplication, and percent means out of 100.
25/100 × 150 = 700/100 × n
75/2 = 7n
n = 75/14
n ≈ 5.357
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.