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Likurg_2 [28]
3 years ago
13

Find the value of x.

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

74 degrees

Step-by-step explanation:

The arc degree measurement of the arc that is colored in orange is given as 254 degrees.

The remaining part is the part in green.

The green part plus the orange part should equal 360 degrees because that would make a full rotation around the circle.

360-254=106.

The green arc has measurement 106 degrees.

We can find x by computing half the difference of the arcs there.

That is,

x=\frac{1}{2}(254-106)

x=\frac{1}{2}(148)

x=74

shutvik [7]3 years ago
6 0

Answer:

  74°

Step-by-step explanation:

There are at least a couple of ways to get there.

1) Find the central angle between the radii to the points of tangency. It will be ...

  360° - 254° = 106°

The measure of x is the supplement of this:

  x = 180° -106° = 74°

__

2) Find half the difference of the subtended arcs. The arc shown is 254°; the one not shown is 360° -254° = 106°. Half the difference of these is ...

  (254°-106°)/2 = 148°/2 = 74°

__

3) Perhaps more simply, we can find this measure symbolically. Let y represent the large arc shown as 254°. Then the smaller one is 360°-y and their difference is ...

   difference = y - (360° -y) = 2y -360°

Half this value, the value of angle x is ...

  (2y -360°)/2 = y -180°

For y=254°, this is ...

  x = 254° -180° = 74°

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mars1129 [50]

Answer: Option B and option D.

Step-by-step explanation:

We know that a quadrilateral is a 2-dimensional closed shape that has four sides.

By definition the diagonals of a quadrilateral are the lines that connect two non-adjacent vertices.

The following quadrilaterals have diagonals that are perpendicular to each other (also known as perpendicular bisector diagonals), which means that they form four angles of 90 degrees (right angles): <em>Rhombus and Square.</em>

Therefore the answers are: the option B and the option D.

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3 years ago
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Mkey [24]
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4 0
3 years ago
What is the measurement of Q?
PilotLPTM [1.2K]

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Step-by-step explanation:

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Answer:

6

Step-by-step explanation:

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An observer, whose eyes are 1.98 m above the ground, is standing 39.2 m away from a tree. The ground is level, and the tree is g
lozanna [386]

Answer:

The tree is 16.25 m tall.

Step-by-step explanation:

Attached is a diagram that better explains the problem.

From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.

To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.

Using SOHCAHTOA trigonometric function:

tan(20) = x/39.2

=> x = 39.2 * tan(20)

x = 39.2 * 0.364

x = 14.27m

Hence, the height of the tree is:

(14.27 + 1.98)m

16.25m

The tree is 16.25 m tall.

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3 years ago
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