The graph compares distance in yards and distance in feet.
2 answers:
Answer:
yards = feet
Step-by-step explanation:
The graph is a straight line passing through the origin with equation
y = mx ( m is the slope )
Calculate slope using gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 2) ← 2 points on the line
m = =
=
the x- axis is feet and the y-axis is yards, hence
yards = feet
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angle 2 = 114°
supplementary angles sum to 180° thus
5y + 16 + 10y + 14 = 180
15y + 30 = 180
subtract 30 from both sides
15y = 180 - 30 = 150
divide both sides by 15
y = = 10
angle 1 = (5 × 10) + 16 = 50 + 16 = 66° and
angle 2 = (10 × 10) + 14 = 100 + 14 = 114°