Answer:
Diagram 1
Step-by-step explanation:
This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.
Answer:
∠B = 41°
Step-by-step explanation:
∠BCD is an exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠A and ∠ B are the 2 opposite interior angles, hence
∠A + ∠B = 113, that is
72 + ∠B = 113 ( subtract 72 from both sides )
∠B = 41°
A 4-sided thing with area of 30 and perimeter of 34
has these dimensions:
<em> Length = 15</em>
<em> Width = 2</em>
That's no square.
Answer:
Step-by-step explanation:
Let x represent the length of the shorter base in inches. Then the longer base has length x+6. The area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
Filling in the values we know, we have ...
48 = (1/2)(x +(x+6))(6)
16 = 2x +6 . . . . . divide by 3
10 = 2x . . . . . . . . subtract 6
5 = x . . . . . . . . . . divide by 2
(x+6) = 11 . . . . . . find the longer base
The lengths of the bases are 5 inches and 11 inches. We found them by solving an equation relating area to base length.
