For the blank on the left, the answer is "angle ABC" without quotes of course. This is because we're using the substitution property which is the reasoning for statement 4. To elaborate, we connect statement 1 and statement 3 to get to statement 4.
The last statement, statement 5, is simply a repeat of the claim we want to prove. So you'll just copy/paste where it says "prove" as your last statement. Always start with the "given" and end up with "prove" is how I think of it.
The reasoning for the last statement is "definition of congruence". If two angles are congruent, then they have the same angle measure.
When a line is perpendicular to another line, the slope is the negative reciprocal of the other line's slope. So in this case, the slope would be 1, since the negative reciprocal of -1 is 1/1 which is 1.
To find the y-intercept, you have to substitute the point (8,2) into y = mx + b
2 = 1(8) + b
b = -6
The equation is y = x - 6
Answer:
(x+4)(x-7)
Step-by-step explanation:
There is no actual formula that takes in a persons weight and shows what speed they would be, so there is no way of determining who would be faster pound for pound. I hope this helps.
Answer:
a) The amount of edging needed = 7.54 meters
b) Cost to edge the garden = $32.80
Step-by-step explanation:
a)
the amount of edging needed is basically the circumference (perimeter) of the circle. It has the formula:
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
Where
C is the circumference
r is the radius
Given, diameter = 2.4, radius is HALF of it, so
r = 2.4/2 = 1.2
Now, finding circumference:
![C=2\pi r\\C=2\pi (1.2)\\C=7.54](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%5C%5CC%3D2%5Cpi%20%281.2%29%5C%5CC%3D7.54)
The amount of edging needed = 7.54 meters
b)
$4.35 is needed to edge 1 meter, since we need 7.54 meters, we find the total cost by multiplying 4.35 with 7.54, so we have:
4.35*7.54 = $32.80
Cost to edge the garden = $32.80