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Klio2033 [76]
2 years ago
11

let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical a

ngles what is the measurement of <1 plus the measure of <3 minus the measure of two
Mathematics
1 answer:
Fed [463]2 years ago
8 0

Answer:

180 Vertical angles are opposite angles that share only a vertex.  Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.

This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.

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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
A flower pot’s base has six sides that are all the same length. Each side measures x−6x-6 units. The base’s perimeter is 78 unit
NemiM [27]

Answer: The answer is x = 19.

Step-by-step explanation:  Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.

We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.

Since each side of the six-sided base is (x - 6) units, so its perimeter will be

6\times(x-6)~\textup{units}.

According to the question, we have

6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.

Thus, the value of 'x' is 19 units.

6 0
3 years ago
Read 2 more answers
Complete the table shown below. f(x) = 2x2 - 8x + 6 1 0 2 y 3 4. 6 X= y = Z ​
Serga [27]

Answer:

x = 6, y = -2, z = 0

Step-by-step explanation:

To find x, we have to plug 0 into f(x). Therefore, x = f(0) = 2 * 0² - 8 * 0 + 6 = 6. Similarly, to find y, we have to plug 2 into f(x) so y = f(2) = 2 * 2² - 8 * 2 + 6 = -2. Finally, z = f(3) = 2 * 3² - 8 * 3 + 6 = 0.

4 0
3 years ago
You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,00 in price. The
cricket20 [7]

Answer:

c) skewed to the right.

Step-by-step explanation:

We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:

Mode< Median

And if is skewed to the left then we have:

Mean

If the distribution is symmetric we need to satisfy:

Mean = Median=Mode

For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.

So for this special case we can say that the Mean>Median. And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:

c) skewed to the right.

5 0
3 years ago
Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original weekly salary in dollars per week?
serious [3.7K]

Answer:   Original salary = $500  

Step-by-step explanation:  Tricia got a 6% raise on her weekly salary. The

raise was $30 per week.  

Let x be the original salary  

x times the raise percentage = raise amount  

6%= 6/100=0.06, raise amount = 30    

Now we solve for x  

Divide by 0.06 on both sides    

Original salary = $500

6 0
3 years ago
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