Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A = 
( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s² = 324 ( divide both sides by )
s² = 324 ( take the square root of both sides )
s = 
= 18
Thus
perimeter = 3 × 18 = 54 cm
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
Answer:
Step-by-step explanation:
US liquid pint 2.25
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:
To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are:
