Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
The greatest common factor is 18
Answer: C. x = 6; m∠XOY = 18
Step-by-step:
We see that ZOW and WOX are supplementary, meaning the sum of their angles equal 180.
We also know that WOY is a right angle and equals 90.
Now we can solve
180-108 = 72
90 - 72 = 18
XOY = 18
Because 3x = 18, we know that x = 18 by dividing 18 by 3
Answer:
A. 12+2p
G. p+p+12
Step-by-step explanation:
The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game
Number of points scored in the last game of the season = 2p + 12
A. 12+2p
Equivalent
B. 2+p+12
= P + 14
Not equivalent
C. 2+12p
Not equivalent
D. p(2+12)
= 2p + 12p
Not equivalent
E. p+2+12
= P + 14
Not equivalent
F. 12p+2p
Not equivalent
G. p+p+12
= 2p + 12
Equivalent
Answer:
Advance tickets-$15
Same-day tickets-$20
Step-by-step explanation:
let x be the cost of advance tickets and y cost of same-day tickets:
Given that there were 40 advance and 25 same-day tickets for a total of $1100:
#Make x the subject in i and substitute in ii:
Hence, advance tickets cost $15 each while same-day tickets cost $20 each.
