I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

=

=

Cross multiply

14(27) = 11(PQ)

378 = 11(PQ)

= PQ

PQ = 34.4

Graph of lines y equals 2 x plus 3 and y equals minus x plus 6. Lines intersect at ordered pair (1, 5)

Step-by-step explanation:

Here x represents the miles walked by Jacob and y represents the miles for which Jacob cycled.

Thus, the total distance covered by Jacob = x + y

But according to the question,

The total number of miles Jacob walked and cycled was 6 miles.

Therefore,  x + y = 6  -------(1)

Also, The number of miles Jacob cycled was 3 miles more than twice the number of miles he walked.

That is, y = 2x + 3 ----------(2)

subtracting equation (2) from equation (1),

We get,

x = 6 - 2x - 3

⇒ x+2x = 6-3   ( by adding 2x both sides)

⇒ 3 x = 3

⇒ x = 1

Put the value of x in equation (1)

We get y = 5

Thus, Jacob walked 1 miles

And, he cycled 5 miles.