Solve for x -3(x + 4) - 2 = -2(x - 5) x= -4 x = -11/5 x = 24 x = -24
1 answer:
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we know that
A half-acre is equal to---------->
Let
x---------> the length side of the building lot
y--------> the width side of the building lot
A------> Area of the building lot
x=5y-------> equation 1
--------> equation 2
substitute equation 1 in equation 2
<u>Find the value of x</u>
therefore
<u>the answer is</u>
the dimensions of the building lot are 100.55 m* 20.11 m
Answer/Step-by-step explanation:
Question 1:
Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.
Since sum of the interior angles = (n - 2)180, therefore:
n = 4, i.e. number of sides/interior angles.
Equation for finding x would be:
(dividing each side by 12)
Find the measures of the 4 interior angles by substituting the value of x = 30:
m<ABC = 4x
m<ABC = 4*30 = 120°
m<BCD = 3x
m<BCD = 3*30 = 90°
m<CDA = 2x
m<CDA = 2*30 = 60°
m<DAB = 3x
m<DAB = 3*30 = 90°
Question 2:
<CDA and <ADE are supplementary (angles on a straight line).
The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.
m<ADE = 180° - m<CDA
m<ADE = 180° - 60° = 120°