(4x+3y=-13) * 2
(-5x+2y=-24)*3
_____________
8x+6y=-26
-
-15x+6y=-72
___________
23x=46
X=2
Answer:
124
Step-by-step explanation:
Answer:
The perimeter of the quarter-circle is 200 cm.
Step-by-step explanation:
Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :
Let r be radius = 56 cm,
Let θ = 90°
We have already found the arc. Next we have to add up together to find the perimeter :
Use system of equations. We know chickens have 2 feet and goats have 4.
1 similar parallelograms
EFGH and WXYZ
set up
2/3 = 6/x
solve for x
2/3 times x = 6
x = 6 divided by 2/3
x =9
2 similar pentagons
JKLMN and VWXTZ
similar shapes have the same angles
60 degrees
2. similar triangles
lance the alien
set up
5/8 = x/32
solve for x by multiplying 32 on both sides
(5/8) times 32 = x
x = 20
4 similar triangles
ADE and ABC
set up
x/2 = 12/(4+2)
x/2 = 12/6
x/2 = 2
x = 4
5 similar triangles
perimeter
two different set ups
first:
30/5 = (YZ)/6
6 = (YZ)/6
36 = YZ
second:
30/5 = (XZ)/10
6 = (XZ)/10
60 = XZ
perimeter
60 + 36 + 30 = 126
