Please help me with this
1 answer:
Answer:
100 in²
Step-by-step explanation:
Since the figures are similar
the linear ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 : 21 = 5 : 7
ratio of areas = 5² : 7² = 25 : 49
let the area of the smaller figure be x then by proportion
=
( cross- multiply )
49x = 4900 ( divide both sides by 49 )
x = 100
Area of smaller figure is 100 in²
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Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, hence
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = - x + 2 ← equation of perpendicular line