The set of two-digit primes is {11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}
Of that list, the following primes are mirror images of each other
13 and 31
17 and 71
37 and 73
79 and 97
Note: we ignore 11 since 11 flips to 11 which is not distinct from its original
If you're looking for the largest prime of this form, then its 97
If you're looking for the largest gap, then subtract each pair
31-13 = 18
71-17 = 54
73-37 = 36
97-79 = 18
We see that 71 and 17 have the largest gap
Answer:
600 miles.
Step-by-step explanation:
So basically we can write both plans as linear functions:
F(x) = $59.96+$0.14 . x
S(x) = $71.96+$0.12 . x
Where F(x) is the first plan, S(x) is the second one and X are the miles driven.
To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.
F(x) = S (x)
Mai has to drive 600 miles for the two plans to cost the same-
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
Part 1) Find AC
we know that
In the right triangle ABC of the figure
Applying the Pythagorean Theorem
substitute the given values
Part 2) Find the measure of angle A
we know that
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the values
using a calculator
Part 3) Find the measure of angle C
we know that
In the right triangle ABC
----> by complementary angles
substitute the given value
Angle POQ and Angle UOT are identical. This also applies to angles QOP and TOU, as they are the same angles as listed before.
First, distribute the 2 across the parenthesis.
10-3v+9v=28
Combine like terms on the left.
10+6v=28
Start to get the numbers on the right and the v alone on the left by moving the 10 to the right.
6v=28-10
6v=18
Divide to get the v alone.
v=3
Hope that helps.