Since the triangles are similar the ratios of the lengths of corresponding sides are equal.
tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4
There are 7 sides available.
The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)
This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides:
15(6)(S) = 560
80S = 560
Divide both sides by 80:
80S = 560/80
S = 7
Answer:
D. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
Step-by-step explanation:
since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))
the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))
Answer:
60 different possibilities
Step-by-step explanation:
Number of bikers = 5
Positions = first, second and third
First positions = all 5 riders can take the first spot = 5 possibilities
Second spot = position 1 has been filled hence number of possibilities = ( 5 - 1) = 4
Third spot = position 1 and 2 has been filled ; number of possibilities =. (5 - 2). = 3
Number of possible arrangements :
5 * 4 * 3 = 60 different possibilities
17% is the answer to the question
