Answer:
37 1/2
Step-by-step explanation:
n - 2y = 3y- n/m,
find the value of n when y = 5 and m = -3
--------
n-2*5=3*5-n/-3
n-10=15+n/3
n-n/3=15+10
2n/3=25
2n=3*25
n=75/2
n=37 1/2 or 37.5
Answer:
Time required to make a pile of 45 sticks next to their fire = 10 minutes
Step-by-step explanation:
This is an example of arithmetic progression.
First term = 5 - 3 + 7 = 9 sticks
Common difference = 7 - 3 = 4 sticks.
So the number of sticks next to their fire is increasing like this
9, 13, 17, 21 .............
term of AP = a + (n-1) d, we need to find n
a + (n-1) d = 45
9 + (n-1) x 4 = 45
(n-1) x 4 = 36
n - 1 = 9
n = 10
Time required to make a pile of 45 sticks next to their fire = 10 minutes
Answer:
Parallel
corresponding angles theorem
NYM
AA
Step-by-step explanation: I DID IT ON EDGE! : )
We know that side NM is _________________
✔ parallel
to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the _____________
✔ corresponding angles theorem
, we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle _____________
✔ NYM
by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the _____________
✔ AA
similarity theorem.