Answer:
Mid-point: 
Equation: 
Step-by-step explanation:
To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.
To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.
Slope of AB: 
= 
= 
= 
Multiplying slopes that are perpendicular with each other always results in -1.
By the point slope form:
Plug in the coordinates of the mid-point:
Equation:
Hi there!
(32 + 60) ÷ 135 = x
92 ÷ 135 = x
0.6814814... = x → 814 is periodic, so it just keeps repeting itself.
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
Let's say that someone was building a yard.
(I tired to make this all connected.)
For Part 1) He wants to put his fence around the yard. If it's a rectangle measuring 45 * 32 ft, he would have to find the perimeter of the rectangle so he could install the correct amount of fences. The perimeter is the measurement 'around' a shape.
For area (part 2), if he wanted to know how much he was able to put stuff inside, he would have to find the area of the rectangle. The area is the space occupied by a 2D shape.
Part 3: The person then wants to paint a box as a decoration. He has a small 3 * 3 *3 box. The person needs to find how much paint he needs to cover the box appropriately, or the surface area of the box. Surface area is the total measurement of the surface in a 3D figure.
Part 4: He then wants to put something in the box. He does not know how much can he fit in it, so he would have to find the volume of the box. The volume of a 3D figure is the measurement of how much it can 'fill' the shape.
Hope this helps.
Answer: arc ef is 68
Step-by-step explanation:
Since EF and FG are the same length (given)
and DE and DG are the same length (both are radius of the circle)
and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68
The measure of an arc is the same as the measure of the angle across from it
To solve this all we need to do is multiply.
Since 1 kg is for $8, then we will multiply to see how much 16 kg would be for.
16 × 8 = 128
So, 16 kg is for $128.
Hope I helped ya!!!!
