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2 years ago

This figure represents a step in a compass-and-straightedge construction. Identify the construction.

Mathematics

2 answers:

Drupady [299]2 years ago

7 0

Answer:

The figure represents the construction of a :

a congruent line segment.

Step-by-step explanation:

The steps for the construction of a congruent line segment is given by:

1. Draw a line AB on the piece of paper.

2. Take a measurement on a compass more than halfway AB and keep the needle of the compass on A and draw an arc above and below AB.

3. Next put the needle of the compass on B and draw the arc that intersects the previous arcs.

4. Name the intersected point above AB as C and below AB as D.

5. Connect the point C to Point D.

6. The lien segment meets AB at some point let it denote by E.

7. Hence, we get line segment AE is congruent to line segment EB.

Goshia [24]2 years ago

6 0

A congruent line segmeny

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Alecsey [184]

Answer:

) See annex

b) See annex

x = 0,5 ft

y = 2 ft and

V = 2 ft³

Step-by-step explanation: See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x

V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get x₁ = 1,5 and x₂ = 0,5

We look at y = 3 - 2x and see that the value x₂ is the only valid root

then

x = 0,5 ft

y = 2 ft and

V = 0,5*2*2

V = 2 ft³

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2 years ago

Complete the sentence.

vovangra [49]

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1 year ago

Find the value of x in the parallelogram.

yuradex [85]

Answer:

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

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2 years ago

A cube measures 1cm on each side. What is the volume of the cube? If this cube is dropped into a 28ml of water, what will the ne

Archy [21]

Answer:

29 ml

Step-by-step explanation:

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2 years ago

Please answer and use statement reason

masha68 [24]

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

8 0

1 year ago