Answer:
3rd graph down
Step-by-step explanation:
greens are x and carrots are y in my equations
2x - y >= 3
x + 2y < 4
The first equation is solid and will highlight everything to the right of it because it is a >
the second is dashed and will highlight everything to the left of it because it is a <
the only 2 graphs that show this are 1 and 3
looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.
on the first graph the points are (0,4)
plugging those into our equation gives us 0 + 2*4 <4
or 8<4 which doesnt make sense making 3 the correct graph
(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)
Use the sin identity to find that side. Sin(30) = a/12...12 sin(30) = a, and a = 6
The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,
A = 0.5(15 m + 19 m)(10 m)
A = 170 m²
The area of the garden is 170 m².
Answer:
x = 40
Step-by-step explanation:
The ADF is 90 degrees so the CAF will also be 90
So you do
( x + 15 ) + 90 + 35 = 180
x + 15 + 90 + 35 - 90 = 180 -90
x + 15 + 35 = 90
x + 15 + 35 - 35 = 90 - 35
x + 15 = 55
x + 15 - 15 = 55 - 15
x = 40