5q ≥ 8q - 3/2
<em><u>Add 3/2 to both sides.</u></em>
3/2 + 5q ≥ 8q
<em><u>Subtract 5q from both sides.</u></em>
3/2 ≥ 3q
<em><u>Multiply both sides by 2.</u></em>
3 ≥ 6q
<em><u>Divide both sides by 6.</u></em>
0.5 ≥ q.
The value of q is less than or equal to 0.5.
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°
Answer:
See attached image
Step-by-step explanation:
With this type of reflection, one has to convert the points of the form (x, y) into (y, x).
So the vertices of the triangle will transform the following way:
(4, 4) into image (4, 4)
(4, 1) into image (1, 4)
(2, 1) into image (1, 2)
Please see attached picture to find the new reflected triangle depicted in red.
First you'd substitute x= y-3 in the first equation.
10(y-3) -10y= 1
10y - 30 -10y= 1
The y's cancel each other out, so you're left with -30= 1. That means there's no solution :)
Answer:
69 centimeters squared
Step-by-step explanation:
First, find the area of the big square = 11cm * 4cm = 44cm
Next, find the area of the leftover square = 5cm * 5cm =25cm
Add them together to get 69 centimeters squared
Hopefully this helps - let me know if you have any questions!