Answer:
Complementary angles.
Step-by-step explanation:
Notice that
and
, by given.
, by sum of angles.
, by supplementary angles definition.

Which means,

Therefore,
, in other words, angles a and b are complementary by definition.
Answer:
(-2, 3)
Step-by-step explanation:
A is translated from (5, 1) to A' at (6, -2).
That is, it moves <em>one unit to the right and three units down</em>.
B is also translated to B' one unit to the right and three units down to (-1, 0).
B must be <em>one unit to the left and three units above B'</em>.
Thus, the coordinates of B are (-2, 3).
The diagram below shows the translation of side AB of ∆ABC to its new location at A'B'.
Answer:
x=12/23
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
25 ft
Step-by-step explanation:
The area of this landing pad is 1,962.5 ft², which equals πr².
We solve this equation for r²:
1962.5 ft²
r² = ----------------- = 625 ft²
3.14
Taking the square root of both sides, we get:
r = √(625 ft²) = 25 ft
The radius is 25 ft.
Answer:
720
Step-by-step explanation:
nPk = n!/(n-k)!
10P3 = 10!/(10-3)! = 10!/7!
= 10·9·8 = 720