Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
we have
This is a vertical parabola open upward
The axis of symmetry is equal to the x-coordinate of the vertex
The vertex is the point (h,k)
the equation of the axis of symmetry is 
In this problem
so the x-coordinate of the vertex is 
<u>Convert the quadratic equation in vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
remember that
so
substitute in the equation
therefore
<u>the answer is</u>
1 - 0.16 = 0.84
21/0.84 = 25
25 grams of fiber should be consumed daily.
Answer:
1. 48 sticks, 49 dots
2. 60 sticks, 61 dots
3. figure 13, 157 dots
Step-by-step explanation:
The pattern increases by 12 sticks each time. The number of dots is equal to the number of lines plus 1. An easy way to figure it out is to multiply the figure number by 12 to find the number of lines and then add one more for the number of dots. To solve 3, divide the number of sticks by 12 to find the figure number, and add one to the number of sticks to get the number of dots.
Answer:
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If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
