Brenna has a bike odometer that shows how far she travels. She bikes 8 miles to her friend's house and then both girls bike to the beach. When they arrive, Brenna's odometer shows that she traveled 14 miles in all. Which equation can Brenna use to find the distance d from her friend's house to the beach?

The equation to find the distance d from her friends house to beach is .

The distance from her friends house to beach is 6 miles.

Step-by-step explanation:

Given:

Distance from Brenna's House to friends house = 8 miles

Total Distance from Brenna's House to beach = 14 miles.

We need to write the equation to find the distance d from her friends house to beach.

Solution:

Let the distance from her friends house to beach be denoted by 'd'.

So we can say that;

distance from her friends house to beach is equal to Total Distance from Brenna's House to beach shown in Odometer minus Distance from Brenna's House to her friends house.

framing in equation form we get;

Hence The equation to find the distance d from her friends house to beach is .

On solving we get;

Hence The distance from her friends house to beach is 6 miles.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)