Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
The breadth is the distance between (3, 2) and (3, 0):
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
Answer:
5919.2 miles
Step-by-step explanation:
59.192 miles is 1% so you multiply this by 100 to find 100% of the distance, so your answer will be 5919.2 miles.
Hope this helped :)
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
Assuming you need to solve for x:
-6(x + 6) - 10 = -2(5 + 4x)
start by distributing your numbers outside the front of your parentheses:
-6x - 36 - 10 = -10 - 8x
then combine like terms:
-6x - 46 = -10 - 8x ... add 10 to both sides (which technically could have cancelled out in the step prior, but regardless)
-6x - 36 = -8x ... add 6x to both sides
-36 = -2x ... divide both sides by -2
x = 18
