[GCSE]
Q13. P has coordinates (-9, 7)
Q has coordinates (11, 12)
M is the point on the line segment PQ such that PM: MQ = 2 : 3
Line L is perpendicular to the line segment PQ.
L passes through M.
Find an equation of L.

The table shows the webster family’s monthly expenses for the first three months of the year. they are $2,687.44, $2,613.09, and $2,808.64. what is the average monthly expenditure for all expenses?

Nine more than four times a number is the same as one less than twice the number. find the number?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?