Quantavius took a hiking with some friends. The friend started early and walked a while before stoping to each lunch. After lunch the friends walked 6 3/4 miles before arriving at the end of the trail .The trail is 14 1/8 miles long. How long did the friends walk before lunch

Step-by-step explanation:

Given:

After lunch the friends walked 6 3/4 miles before arriving at the end of the trail.

The trail is 14 1/8 miles long.

Question asked:

How long did the friends walk before lunch ?

Solution:

Let the friends walk before lunch in miles =

As total length of trail is given , we can conclude:

Total length of trail = The friends walk before lunch in miles  + The friends walk after lunch in miles

Subtracting both side by

Taking LCM of 4 and 8 ,we get 8

Therefore, the friends walk before lunch is .

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

step-by-step explanation: