Answer:

Step-by-step explanation:
Given


Midpoint, T
Required
Determine PT
First, the value of x has to be calculated;
Since T is the midpoint, then:

This implies

Solve for x




Length PQ can then be calculated using:


Collect Like Terms


Substitute 6 for x



Your,,,,,, g....a.....y...as....f
SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches
To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches
1.5 gallons x 3.785 liters x 1000 milliliters
---------------- -------------------- = 5677.5 milliliters
1 gallon 1 liter