Answer:
x=3
Step-by-step explanation:
Given information: AC=32, AB=2x, BC=6x+8 and point B lies between A and C.
We need to find the value of x.
(Segment addition property)
Substitute the given values.
(Substitution)
Combine like terms.
(Simplification)
Subtract 8 from both sides.
(Subtraction property of equality)
Divide both sides by 8.
(Division property of equality)
Therefore, the value of x is 3.
Answer:
Base of triangle = 2.4 Feet and Height of triangle = 10 feet.
Step-by-step explanation:
This problem can be solved by using formula to calculate area of triangle.
<u>Area of triangle = 1/2*(base*height)</u>
given
Let base of triangle B
height if triangle H
according to problem
The height of a triangle is 2 less than 5 times its base
mathematically it can be expressed as
H = 5*B - 2
Given area of triangle= 12 sq feet
Area of triangle = 1/2*(base*height)
=> 12 = 1/2* {B*(5*B-2)}
=> 24 = 5B^2 - 2B
which is a quadratic equation
It can be solved as given below
Since for side of triangle B cannot be negative number hence B= 12/5 = 2.4
Therefore height of triangle = 5*B - 2 = 5*2.4 - 2 = 12 - 2 = 10
Base of triangle = 2.4 Feet and Height of triangle = 10 feet.
Equation which models this situation is
Answer:
Please see attachment.
The first one is a quadrilateral that is not a parallelogram.
The second one is a triangle with a right angle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
