Answer:
47°
Step-by-step explanation:
Given that m<NLO = 41°, and m<NLM = 88°, according to angle addition postulate, m<OLM + m<NLO = m<NLM
Therefore, subtracting m<NLO from both sides will give us:
m<OLM = m<NLM - m<NLO
m<OLM = 88° - 41°
m<OLM = 47°
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
A=number of adult tickets
s=number of student tickets
so
total of 89 tickets sold
a+s=89
total collected was 1119
15a+11s=1119
so we have
a+s=89
15a+11s=1119
subsitution
a+s=89
minus s from both sides
a=89-s
subsitte 89-s for a in the other equation
15a-11s=1119
15(89-s)+11s=1119
1335-15s+11s=1119
1335-4s=1119
minus 1335 from both sides
-4s=-216
divide both sides by -4
s=54
subsitute back
a=89-s
a=89-54
a=35
35 adult tickets
54 student tickets
Answer:1600 he offered
Step-by-step explanation: 2400 / 3 x 2 = 1600