Answer:
158ft²
Step-by-step explanation:
Break it up!
Find the area of the three smaller shapes and add them together!
12+18+128= 158
Answer:
Maximum distance = 94.6 million miles
Minimum distance = 91.4 million miles
Step-by-step explanation:
The mean distance of the Earth from the sun is 93 million miles.
The distance varies by 1.6 million miles.
The maximum distance of the Earth from the sun is 93 + 1.6 = 94.6 million miles
The minimum distance of the Earth from the sun is 93 - 1.6 = 91.4 million miles.
Answer:
Step-by-step explanation:
AC and AB are tangents to the circle with center O on points C and B respectively from point A.
Therefore

You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
Answer:
<em>XY = 92 units</em>
Step-by-step explanation:
<u>Similar Shapes</u>
Two shapes are similar if all their corresponding side measures are in the same proportion.
The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.
This means that the measure of VX is twice the measure of VW,
The measure of YV is twice the measure of UV
The measure of XY is twice the measure of UW
This last proportion gives the equation:
z + 46 = 2z
Solving for z:
z = 46
Thus, XY = z+46 = 92
XY = 92 units