Answer: The correct option is (B) HB = HB'.
Step-by-step explanation: Given that polygon ABCD is reflected across EF to make polygon A'B'C'D'.
We are to select the correct statement from the given options.
Since EF is the line of reflection, so the distance of each vertex of the original polygon ABCD is equal to the distance of the corresponding vertex of the reflected polygon A'B'C'D'.
That is,
The corresponding vertex of B is B'.
We know that the distance of a point form a line is the length of the perpendicular drawn from the point to the line.
Since HB and HB' are both perpendiculars to EF, so the distance of the vertex B from EF is HB and the distance of the vertex B' from EF is HB'.
Since both B and B' are equidistant from the line EF, so we must have
HB = HB'.
Thus, the correct statement is HB = HB'.
Option (B) is correct.
Answer: Linear model and H'(t) = 9 units.
Step-by-step explanation:
Since we have given that
In 2000, amount spent = $100 billions
In 2010, amount spent = $190 billions.
So, rate of increase would be
So, linear model for H(t) would be
So, H'(t) would be 9.
Hence, linear model and H'(t) = 9 units.
The appropriate response is equilateral triangle. It is a triangle in which each of the three sides are equivalent. In the natural Euclidean geometry, equilateral triangles are additionally equiangular; that is, every one of the three interior edges are likewise harmonious to each other and are each 60°.
Step-by-step explanation:
Dividing my dog's age (X) by 4 and adding 6 is the same (=) as dividing my dog's age (x) by 8 and adding 8.
Answer:
x=13
m∠A = 46° m∠B = m∠C = 67°
Step-by-step explanation:
ΔABC : isosceles
vertex ∠A = 4x -6
∠B = ∠C = 5x + 2
∠A + ∠B + ∠C = 180° = (4x -6) + 2 * (5x + 2) = 14x - 2
14x = 182 x = 13
∠A = 46° ∠B = ∠C = 67°