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Sedaia [141]
3 years ago
14

Consider the diagram shown and answer the following questions; the radius of this circle is 6 inches:

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
Refer to the figure shown below.

Part 1
Triangles  VPU and SPU are congruent because of SSA. Therefore,
∠TUV = ∠TUS = 39°.
Because angles in quadrilateral PVUS sum to 360°, therefore
The Central ∠VPS = 360 -(90+39+39+90) = 102°.
The measure of arc VTS = ∠VPS = 102°.

Part 2 
We know that line segments  PO = PS = PT = 6 in (radius).
Because TO is a diameter, ∠TMO = 90°.
From the indicated right triangles ΔUPV, ΔUPS, ΔMOT, we can calculate the lengths of PU, US, UV, MT and MO.

Part 3
Angles in a triangle sum to 90°. Because ∠MOP = 49°, therefore
∠MTO = 90 - 49 = 41°.
∠VPU = ∠SPU = 90 - 39 = 51°.


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he two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics. A 5-column table has 5 rows
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Answer:

The all-time medal table for all Olympic Games from 1896 to 2018, including Summer Olympic Games, Winter Olympic Games, and a combined total of both, is tabulated below. These Olympic medal counts do not include the 1906 Intercalated Games which are no longer recognized by the International Olympic Committee (IOC) as official Games. The IOC itself does not publish all-time tables, and publishes unofficial tables only per single Games. This table was thus compiled by adding up single entries from the IOC database.[1]

The results are attributed to the IOC country code as currently displayed by the IOC database. Usually, a single code corresponds to a single National Olympic Committee (NOC). When different codes are displayed for different years, medal counts are combined in the case of a simple change of IOC code (such as from HOL to NED for the Netherlands) or simple change of country name (such as from Ceylon to Sri Lanka). As the medals are attributed to each NOC, not all totals include medals won by athletes from that country for another NOC, such as before independence of that country. Names in italic are national entities that no longer exist. The totals of NOCs are not combined with those of their predecessors and successors.

Step-by-step explanation:

7 0
3 years ago
George and Carmen went on a bicycle trip. they took a bus to their starting point, and then biked the rest. they traveled 325 ki
chubhunter [2.5K]
In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
Distance traveled by bus = y km
Total distance traveled by George and Carmen = 325 km
Then
x + y = 325
Another equation can be determined by
x - y = 75
x = y + 75
Now we will put the value of x in relation to y in the first equation.
x + y =325
y + 75 + y = 325
2y = 325 - 75
2y =250
y = 250/2
  = 125 km
Now putting the value of y in equation given below, we get
x + y = 325
x + 125 = 325
x = 325 - 125
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So the distance they biked is 200 km and the distance they traveled by bus is 125 km.
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3 years ago
The figure shows a square and 4 congruent isosceles triangles. If the length of leg x is 12 feet, what is the length in feet of
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Answer:

wher eis the

Step-by-step explanation:

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Answer:

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Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is 1.

Write the formula as a function of n in slope-intercept form. The function is

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Answer:

His average speed was of 10.42 m/s

Step-by-step explanation:

We use the following relation to solve this question:

v = \frac{d}{t}

In which v is the velocity(in m/s), d is the distance(in meters), and t is the time, in seconds.

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This means that d = 200, t = 19.19

So his average speed was of:

v = \frac{d}{t} = \frac{200}{19.19} = 10.42

His average speed was of 10.42 m/s

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