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Solnce55 [7]
3 years ago
9

Operating on the triangle. using a straightedge, draw a random triangle. now carefully cut it out. next amputate the angles by s

nipping through adjacent sides. now move the angles together so the verticles all touch and the edges meet. what do you conclude about the sum of the angles of a triangle?
Mathematics
1 answer:
S_A_V [24]3 years ago
3 0
The sum of the measures of the angles in a triangle is always 180 degrees.

If you follow the procedure in the question, you will have a straight angle when you put the pieces together. All straight angles have 180 degrees. Therefore, there are 180 degrees in every triangle.
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Expand: x(3 + 9). please
Oksi-84 [34.3K]

Answer:

x(3 + 9) = 3x + 9x = 12x

Step-by-step explanation:

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8 0
3 years ago
Please help with this
9966 [12]

Answer:

D

Step-by-step explanation:

The first graph curves down

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6 0
3 years ago
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 75.6 Mbp
olga55 [171]

Answer:

a) 59.98

b) 2.99

c) 2.99

d) Significantly High

Step-by-step explanation:

Part a)

Highest speed measured = x = 75.6 Mbps

Average/Mean speed = \overline{x} = 15.62 Mbps

Standard Deviation = s = 20.03 Mbps

We need to find the difference between carrier's highest data speed and the mean of all 50 data​ speeds i.e. x - \overline{x}

x - \overline{x} = 75.6 - 15.62 = 59.98 Mbps

Thus, the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds is 59.98 Mbps

Part b)

In order to find how many standard deviations away is the difference found in previous part, we divide the difference by the value of standard deviation i.e.

\frac{59.98}{20.03}=2.99

This means, the difference is 2.99 standard deviations or in other words we can say, the Carrier's highest data speed is 2.99 standard deviations above the mean data speed.

Part c)

A z score tells us that how many standard deviations away is a value from the mean. We calculated the same in the previous part. Performing the same calculation in one step:

The formula for the z score is:

z=\frac{x-\overline{x}}{s}

Using the given values, we get:

z=\frac{75.6-15.62}{20.03}=2.99

Thus, the Carriers highest data is equivalent to a z score of 2.99

Part d)

The range of z scores which are neither significantly low nor significantly​ high is -2 to + 2. The z scores outside this range will be significant.

Since, the z score for carrier's highest data speed is 2.99 which is well outside the given range, i.e. greater than 2, we can conclude that the  carrier's highest data speed​ is significantly higher.

3 0
3 years ago
Sean has to face a big problem but he becomes stronger as a result which saying best summarizes the change in Sean?
adell [148]

Answer:

D.) Every cloud has a silver lining!

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Immediately after filling my gas tank, I drove 237.1 miles to my favorite campground. I filled my tank again at the campground,
Kazeer [188]

Answer:

57,838.4 - 57,491.9 = 346.5 miles

346.5/17.5 = 19.8 miles per gallon.

Hope this helps :-)

Step-by-step explanation:

3 0
3 years ago
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