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3 years ago

In order to construct the interior point of ∠CAB for the angle bisector, where should you place the compass point?

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

Answer: Option A.

Step-by-step explanation:

The first step is to place the point of the compass in the vertex of the angle and draw an arc that connects both rays.

Then you put the compass in the points where the arc intersected the rays and draw two new arcs (with the radius of the compass constant)

The point where the two new arcs intersect will be the interior point.

Then the first step is: place the compass in the vertex of the angle.

The vertex is the common point to the two rays, in this case, we can see that the vertex is the point A.

Then you should place the compass in the point A, the correct option is option A.

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Express the area of the triangle shown below in terms of b and θ only.

Paul [167]

Given a right triangle with base, b and height, h with the angle opposide side h as θ.

The area of a triangle is given by
$A= \frac{1}{2} bh$

But,
$\tan\theta= \frac{h}{b} \\ \\ \Rightarrow h=b\tan\theta$

Therefore, the area of the triangle in terms of <span>b and θ only is given by
$A= \frac{1}{2} b(b\tan\theta)= \frac{1}{2} b^2\tan\theta$ </span>

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2 years ago

Find the distance between the two points. Round to the nearest tenth, if necessary. (Point 1 is at (-5,2) and point 2 is at (3,-

aivan3 [116]

Answer:

d = 9.4

Step-by-step explanation:

d= $\sqrt{(3-(-5))^2 +(-3-2)^2\\$

d= $\sqrt{(8)^2+(-5)^2}$

d= $\sqrt{64+25}$

d= $\sqrt{89$

d=9.4

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2 years ago

Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid

lozanna [386]

L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1

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3 years ago

Are the following proportional? Explain: 3/4 to 9/15

Jet001 [13]

It isn't proportional because 3/4 is proportional to 9/16 not 9/15.

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3 years ago

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geniusboy [140]

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2 years ago