Properties of Similar Triangles
Please refer to the figure attached.
<span>Corresponding angles are congruent (same measure) So in the figure above, the angle P=P', Q=Q', and R=R'.
<span>
Corresponding sides are all in the same proportion. Above, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion.</span></span>
1)We have to make a line perpendicular to y=2x+3, passing through the point (0,0).
y=2x+3
m=solpe=2
The slope of the line perpedicular to y=2x+3 is m´
m´=-1/m
m´=-1/2
Point slope form:
y-y₀=m(x-x₀)
(0,0)
m=-1/2
y-0=-1/2(x-0)
y=-x/2
Therefore, the line perpendicular to y=2x+3 is y=-x/2.
2)The point on the line y=2x+3 tha is closest to the origin is the point of intersection of the two lines.
y=2x+3
y=-x/2
We can solve this system of equations by equalization method.
2x+3=-x/2
least common multiple=2
4x+6=-x
4x+x=-6
5x=-6
x=-6/5 (=-1.2)
y=-x/2
y=-(-6/5)/2=6/10=3/5 (=0,6)
Therefore: the point of the line y=2x+3 that is closest to the origin is:
(-1.2 , 0.6)
Answer:
The answer is "1.448 miles".
Step-by-step explanation:
X= The distance to both the nozzle clogged from of the starting point.
X 
Uniform(0,2) miles.
They are simulating the random number Y=0.724, and the Y has both a distribution uniform(0,1). Therefore 2Y is distributed evenly (0.2). And They model the clogging of its nozzle at 2Y=1.448 miles
Answer:
d 0.75÷0.6=0.8
Step-by-step explanation:
divide each one and take the one with the greatest value and that's your answer
A=0.0124
B=0.00008
C=0.08
D=0.8
Answer:
Yes
Step-by-step explanation:
We can draw a quadrilateral with no parallel lines and at least one right angle
