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IrinaVladis [17]
4 years ago
13

Which step is included in the construction of perpendicular lines using a point not on the line?

Mathematics
1 answer:
DerKrebs [107]4 years ago
3 0
The answer should be 
C) Swing two arcs that intersect the given line
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Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) The slope formed by ΔABC
guajiro [1.7K]

Answer:

<em>A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>

Step-by-step explanation:

Find the diagram attached.

Slope is the change in y coordinates tom that of x coordinate of a line.

Slope = Δy/Δx

Slope = y2-y1/x2-x1

For ΔABC,

A(-3, 6) and C = (-1, 3)

Slope = 3-6/-1-(-3)

Slope = -3/-1+3

Slope = -3/2

Slope of line AC is -3/2

For ΔCDE,

C = (-1, 3) and E = (3, -3)

Slope = -3-3/3-1

Slope = -6/2

Slope = -3

Slope of line CE is -3

From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)

-3/2 = 1/2 (-3)

-3/2 = -3/2

<em>Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>

8 0
4 years ago
These cylinders are similar. Find the volume of
Basile [38]

Answer:

V_s=85\ cm^3

Step-by-step explanation:

Let V_s\ and\ V_b be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

V=\pi r^2 h

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3

So, the volume of the smaller cylinder is equal to 85\ cm^3.

3 0
3 years ago
HELP PLEASE DON'T IGNORE ME​
Katen [24]
Which question are you asking ?
5 0
4 years ago
Which is an irrational number?
Solnce55 [7]
Sqrt(5/3)
and
sqrt(0/6)
many square roots are irrational numbers as long as they are not a perfect square
|-3| becomes positive 3
0.6 can be converted into a fraction 6/10
4 0
3 years ago
Why is the side opposite the right angle in a right triangle will always be the longest side?
Pani-rosa [81]
The hypotenuses, is what I believe you're referring to.

<span>The other two are at a 90 degree angle to each other. There is no side that is always adjacent, you just say adjacent if the side happens to be right next to an angle you are describing. Same with opposite, it is the one side that doesn't touch the angle you are describing.</span>
5 0
3 years ago
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