Answer:
∠BPZ and ∠APZ
Step-by-step explanation:
These two angles share a common side and their non common side lies on a straight line.
Answer:
Therefore $98 is be charged a bus containing 30 people.
Step-by-step explanation:
Given that,
A state park charges an entrance fee based on the number of people in vehicle.
Let the entry fee for the vehicle be E and entry fee for each person be x.
Then
C= E+(P×x)
C= Total charge in $
E= entry fee for a vehicle
P=No. of person
x= Entry charge per person.
Given A car containing 2 people charged $14
C=$14, P=2
∴14= E+(2× x)
⇒E+2x=14.....(1)
Again A car containing 4 people charged $20
C=$20, P=4
∴20= E+(4× x)
⇒E+4x=20.....(2)
Subtract (1) from (2), we get
E+4x-(E+2x)= 20-14
⇒E+4x-E-2x=6
⇒2x=6
⇒x=3
Putting the value of x in equation (1)
E+(2×3)=14
⇒E=14-6
⇒E=8
Therefore E=$8 and x=$3
Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case
Here P= 8
Therefore C= E+(P×x)
= 8+(8× 3)
=8+24
=$32
Therefore our assumption is correct.
Now C=? , P= 30
The charged for the 30 people is
C= $[8+(30×3)]
=$[8+90]
=$98
Therefore $98 is be charged a bus containing 30 people.
Answer:
1
Step-by-step explanation:
What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?
3 consecutive angles
= x, x + 1, x + 2
We are told in the question that:
the sum of the first and third is equal to three times the second
a + c = 3b
x + x + 2 = 3(x + 1)
2x + 2 = 3x + 3
3x - 2x = 2 - 3
x = -1
The largest of the three numbers is the third number
= x + 2
x = -1
x + 2 = -1 + 2
The third and largest number is 1
Answer:
divide all terms by same numeral
Step-by-step explanation:
4x-6y+16
2x-3y+8
