Let the sides of the polygon (which is a triangle, by the way) be x, y and z. The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.
Letting f be the scale factor, f(18 cm) = 12 cm. Then f=2/3.
The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.
In each case we have 3 side lengths but no angles. We can use Heron's formula to obtain the area in each case. Look up Heron's formula. In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second.
The area of the first triangle would be
A18 = sqrt( 9(9-x)(9-y)(9-z) )
whereas
A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.
Then the ratio of the areas of the 2 triangles is
sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
sqrt( 9(9-x)(9-y)(9-z) )
Answer:
98pi
Step-by-step explanation:
Area of circle: pi(r)^2
A1=pi(7)^2
A2=pi(7)^2
A2+A1=98pi
3000 for 9 months...plus the interest of 185.63
(3000 + 185.63) / 9 = 3185.63 / 9 = 353.96 per month (and thats rounded)
Answer:
a.The diagonals are congruent.
d. Opposite angles are congruent.
Step-by-step explanation:
From the above question, we are told that:
All the sides of a quadrilateral measure 5 cm.
This means this quadrilateral is a square.
The properties of a square states that:
1) Opposite sides of a square are equal each other or congruent.
2) Opposite angles are equal each other or congruent
3) Consecutive angles of a square are supplementary angles which means that they add up to 180.
4) A square has two diagonals and they are congruent or equal to one another.
Therefore, the correct options are options a and d
Hello,
Starting with problem one:
Subtract 66 from both sides.
z2−9z−66=66−66
z2−9z−66=0
Use quadratic formula with a=1, b=-9, c=-66.
z = 9/2+1/2√345
Problem two:
Subtract 17 from both sides.
y^2+16y−17=17−17
y^2+16y−17=0
Factor left side of equation.
(y−1)(y+17)=0
Set factors equal to 0.
y−1=0 or y+17=0
y=1 or y=−17
ANSWER: y=1 or y=−17
Problem 3:
2h^2−5h−(−1)=−1−(−1)
2h^2−5h+1=0
Use quadratic formula with a=2, b=-5, c=1.
ANSWER: h=5/4+1/4√17
Have an amazing day.
