You could use simple factoring to solve this. You would factor out a 7 and then have
7(3+4m) = A
l x w = A
w= 3 +4m
Answer:
<em>The measure of angle J is 44°</em>
Step-by-step explanation:
<u>Isosceles Trapezoid</u>
The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.
It means: Angle J is congruent with angle K and angle M is congruent with angle L
The sum of angles in a trapezoid is 180*(4-2)=360°
Thus:


Joining like terms:

Adding 24:

Dividing by 64:
x=6°
Thus:


The measure of angle J is 44°
First isolate
by subtracting 1 from both sides of the equation.
That gives you
.
From here, since x is being divided by 2, multiply both sides of the equation by 2.
So <em>x = 10</em>.
Work is attached in the image below.
Answer:
12 of the clients had long hair
Step-by-step explanation:
12 had long hair, 8 had short hair
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where m is the slope of the line and b is the y intercept (value of y when x = 0).
Given the equation of two lines as
, the two lines are parallel to each other if
. Also the lines are perpendicular if

Given line BC:
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 4
Hence the slope of the line BC = -3/2
For line AD:
-3x - 2y = 6
-2y =3x + 6
y = -3x/2 - 3
Hence the slope of line AD is -3/2
Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other