Isaiah will mow 9 lawns in 3 hours at the given rate.
Step-by-step explanation:
Given,
Lawns mowed in 25 hours = 75 lawns
We will find unit rate in terms of lawns;
75 lawns = 25 hours
1 lawn =
9 lawns =
9 lawns = 3 hours
Isaiah will mow 9 lawns in 3 hours at the given rate.
Keywords: unit rate, fraction
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Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
