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3 years ago

Which construction is illustrated above?

Mathematics

2 answers:

shusha [124]3 years ago

5 0

Answer:

The correct option is 1.

Step-by-step explanation:

From the given figure it is easily noticed that the construction is

used to draw a perpendicular line to a given line from a point on the line.

In the given figure we have lines and a red point lies on the line.

First of all the two equidistance arc are drawn on the given line.

Then increase the measurement of the compass and put the compass on first arc and make another arc on the left side, then put compass on second arc. Now draw an arc which intersects the third arc.

Then by joining the given point and the intersection point, we get a line perpendicular to the given line from the point on the line.

Therefore option 1 is correct.

qwelly [4]3 years ago

3 0

The most reasonable answer is b

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1 year ago

Given the following diagram, find the missing measure.<br>*

BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, $m\angle2=\frac{4}{3}x^\circ$ , m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$$2x^\circ=\frac{4}{3}x^\circ+20^\circ$

Subtract $\frac{4}{3}x^\circ$ on both sides of the equation.

$$2x^\circ-\frac{4}{3}x^\circ=20^\circ$

To make the denominator same and then subtract.

$$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ$

$$\frac{2}{3}x^\circ =20^\circ$

Multiply by $\frac{3}{2}$ on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

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3 years ago