If Triangle ABC is rotated 90 degrees clockwise about the origin, what will be the new coordinates of vertex B?

Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the

madam [21]

Answer:

D.Place the compass on a point on the original line.

Complete Question:

A.Create only one arc that intersects the original line.

B.Create two arcs that intersect the original line.

C.Place the compass on a point off the original line.

D.Place the compass on a point on the original line.

Step-by-step explanation:

* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line

# Contracting parallel lines

- Given: Line AB and point P not on AB

1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines

2. Place the pin of the compass at point C and draw an arc intersects AB at D and CP at E

3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q

4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U

5. Join P and U by a line this line is parallel to AB

# Constructing a perpendicular line through a point on the line

- Given line AB and point P lies on it

1. Place your compass pin at P and draw an arc of any size below AB that crosses the line twice at points C and D

2. Stretch the compass to a larger distance

3. Place the compass pin on point C and draw a small arc above the line

4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E

5. Using a straightedge, join P and E where PE is perpendicular to AB

* Lets find the same steps in the constructions

∵ In first construction we put the pin of the compass at point C which lies in the original line AB

∵ In second construction we put the pin of the compass at point P which lies in the original line AB

∴ The common step is: "Place the compass on a point on the original line"

6 0

3 years ago

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What is the simplified form of 5 square root x • 5 square root x • 5 square root x • 5 square root x?

Lina20 [59]

Answer:

D

Step-by-step explanation:

The expression $\sqrt[5]{x} *\sqrt[5]{x}* \sqrt[5]{x} *\sqrt[5]{x}$ simplifies to $\sqrt[5]{x*x*x*x} = \sqrt[5]{x^4}$

A radical can be written as a fractional exponent. The index of a radical is the denominator of its fractional exponent.

$x^\frac{4}{5}$

5 0

3 years ago

1. which Theorem explains why the circumcenter is equidistant from the vertices of a triangle?

Ber [7]

1- The circumcenter refers to the central point or focal point of the circle which experiences the three vertices of the triangle. Review that all radii of a circle are congruent, i.e. equivalent to each other. So this is the reason the circumcenter is equidistant from the vertices of the triangle. The perpendicular bisectors are used to form the circumcenter, so the concurrency of perpendicular bisector theorem also explains.
2- The picture is not given.
3-The answer is right triangle.
In a right triangle, midpoint of hypotenuse is at equal distance from all the 3 vertices. So that is focal point of the circle going through all its 3 vertices. A right-angled triangle is a triangle which have one right angle. The connection between the sides and points of a right triangle is the reason for trigonometry. The side which lies as the opposite to the right angle is known as the hypotenuse.
4- The coordinates of the circumcenter of ABC with the vertices A(0,0), B(3,0), and C(3,2) is (1.5,1)
For the given triangle, vertex A lies on starting point; Vertex B lies on x-axis; and vertex C lies on hold parallel to y-axis. ==> AB along x-axis and BC opposite to AB. So the triangle ABC is a right triangle with its vertex B = 90 deg and AC has the hypotenuse. For a right triangle its circumcentre is the midpoint of hypotenuse. Consequently here the midpoint of AC = (1.5, 1), is the circumcenter of the triangle ABC.

4 0

3 years ago

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Easy Question, Easy Points Topic: Volume Focus on question 12

Sever21 [200]

Answer:

The air is .6m^3

Step-by-step explanation:

The volume of a cube is

V = s^3 where s is the side length

The volume of the tank is

V = 1^3 = 1 m^3

The volume of the water is 1 by 1 by .4

V = l*w*h

= 1 *1*.4

= .4 m^3

The difference must be filled by air

1- .4 = .6 m^3

The air is .6m^3

3 0

3 years ago

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y= -16t^2 +400, where t represents the number after the camera is dropped. How long will it take before Kay sees the splash from

Sholpan [36]

Your problem statement needs a bit of correction:

"Y= -16t^2 +400, where t represents the number OF SECONDS after the camera is dropped. How long will it BE before Kay sees the splash from the camera hitting the water?"

Set y = -16t^2 + 400 = 0. We assume that 400 and 0 represent feet (English system).

Then 16t^2 = 400, and so 25 = t^2. Only the positive square root makes sense here, and that root is 5 (seconds).

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3 years ago

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