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3 years ago

What is the measure of AC ? Enter your answer in the box.

2 answers:

5 0

To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°

Sholpan [36]3 years ago

4 0

Answer:

Step-by-step explanation:

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3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?

vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$

$(diagonal)^{2}$ = $(14)^{2}$ + $(13)^{2}$

= 196 + 169 = 365

$(diagonal)^{2}$ = 365

diagonal = $\sqrt{365}$ = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

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