y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
Alice will have to pay $13.33
Ben will have to pay $23.33
Kelvin will have to pay $43.33
Step-by-step explanation:
Given that
Alice destination is 20 miles away
Ben destination is 30 miles away
Calvin destination is 40 miles away.
For a mile, taxi costs 2 dollars.
To find:
How much each person has to pay if they share the same taxi to their respective destinations?
Solution:
For the first 20 miles, the taxi will be shared by all 3 of them.
Charges for 20 miles = 20 2 = $40
This $40 will be shared among all 3.
Each will pay =
Charges for Alice = $13.33
Charges for Ben = $13.33
Charges for Calvin = $13.33
For the next 10 miles, the taxi will be shared by Ben and Calvin.
Charges for 10 miles = 10 2 = $20
This $20 will be shared between Ben and Calvin.
Each will pay =
Charges for Alice = $13.33
Charges for Ben = $13.33 + 10 = $23.33
Charges for Calvin = $13.33 + 10 = $23.33
For the next 10 miles, Calvin travels alone.
Charges for 10 miles = 10 2 = $20
This $20 will be paid by Calvin alone.
Charges for Alice = $13.33
Charges for Ben = $23.33
Charges for Calvin = $23.33 + 20 = $43.33