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
Step-by-step explanation:
Let the equation of the line be y = mx + c
since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.
therefore, m = -1/2
sub (-4, -1):
-1 = -1/2(-4) + c
c = -3
therefore equation of the line is y = -1/2x - 3
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Answer:
x = 4
Step-by-step explanation:
The given equation is as follows :
4(3x - 6) = 24
If we want to solve the above equation, the steps are:
Using distributive property first as:
4(3x)-4(6)=24
12x-24=24
Adding 24 both sides,
12x-24+24=24+24
12x=48
x=4
So, the value of x = 4. All given steps are correct.
The ratio is 1:20 so if you need to go up 2.5 inches you need to travel 2.5x20 inches horizontally.
2.5x20=50 inches.
Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is 
hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream 
miles.
3. The distances are the same, so
Solve this equation:
