Answer:
133,784,560
Step-by-step explanation:
using the combinations formula: n!/(n-r!)r!, the equation would be 52!/52-7! x 7! which is simplified to 52!/45!7! which is equal to 133,784,560
Here the change in x is +5 and that in y is +10 (from y= -96 to y= -86). Thus, the slope, (change in y) / (change in x) is m = 10/5, or m = 2.
Let X be the number of hours
Brady drives 60 mph for X number of hours, which is written as 60x.
Mary drives 45 mph for x number of hours, which is written as 45x.
The equation to solve for the number of hours is:
60x + 45x = 1365
Simplify:
105x = 1365
Divide both sides by 105:
x = 1365 / 105
x = 13 hours.
Answer:
by the SAS postulate (side-angle-side)
Step-by-step explanation:
This is an overlapping triangles problem. Try drawing them separately, essentially pulling them apart. Mark side XY and XZ as congruent (given).
Angle X is shared by the two triangles, so angle X in triangle XAZ is congruent to angle A in triangle XBY.