Answer:
There were 300 people at the meeting
Step-by-step explanation:
The number of people who drove to the meeting is equal to the number of people at the meeting times the percentage of people who drove
240 = people *80%
Change this to a decimal
240 = people *.8
Divide each side by .8
240/.8 = people *.8/.8
300 = people
There were 300 people at the meeting
Let's assume that the number we are using is
, where
and
are real numbers. The conjugate of this would be
. Multiplying the two together would get
. Since
and
are both real numbers, the multiplication of the conjugate must also be real.
In this problem, we could use the Angle Addition Postulate property. This property states that all interior angles within should sum of to the total angle. It is specifically stated that point H is interior of angle ∠JAK. Looking at the diagram attached in the picture, line segment AH is drawn in the middle. Therefore, the Angle Addition Postulate tells us that the sum of interior angles JAH and angle HAK, is equal to the total angle JAK.
∠JAK = ∠JAH + ∠HAK
∠JAK = (3x - 8) + (x+2)
But there is a missing information. Without knowing the total angle JAK, we can't solve for x. Consequently, we can't solve for the interior angles. So, let's just assume that ∠JAK = 45°. This is just for sample purposes.
45° = (3x - 8) + (x+2)
45 = 4x - 6
4x = 45+6
4x = 51
x = 12.75°
Therefore, the interior angles are equal to
∠JAH = 3(12.75) - 8 = 30.25°
∠HAK = 12.75 + 2 = 14.75°
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
the first equation is
y = 3x
second equation
x + y = 3200
then substitute equation 1
x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
X=4
-4x4=-16+14=-2
2x4=8+7=15
-2 x 15=30