Answer:
Graph C
Step-by-step explanation:
y = .7x
For a direct variation, we know that the line has to go through the origin (0,0)
This eliminates graphs b and d. We also know that the slope is .7
When x = 1, y = .7. This eliminates graph a, because when x=1 y =1. This leaves us graph c
Answer:
∠A = 70°
Step-by-step explanation:
I'm... guessing this is what you mean? It would've been helpful if you'd provided pictures.
Since all parallelograms consist of two pairs of vertically opposite angles, ∠A and ∠C are equivalent.
Which means that 2x + 50 = 3x + 40.
In which you solve the equation.
2x + 50 = 3x + 40
-2x -2x
50 = x + 40
-40 -40
x = 10
Now, to find ∠A, substitute x into the equation:
∠A = 2x + 50
x = 10
∠A = 20 + 50
∠A = 70
Hence, ∠A = 70°
The answer will be option b. (2x)^2-(5)^2.
Length of the rectangle
=
15
feet
Breadth of the rectangle
=
30
feet.
Explanation:
Let the breadth of the rectangle
=
x
So, the length of the rectangle
=
2
×
x
The perimeter given
=
90
feet
As per the formula for perimeter of a rectangle
Perimeter
=
2
×
(length + breadth )
90
=
2
×
(
x
+
2
x
)
90
=
2
×
(
3
x
)
90
=
6
x
x
=
90
6
x
=
15
So the length of the rectangle
=
15
feet, breadth of the rectangle
=
30
feet.