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sergejj [24]
3 years ago
10

This is a diagram of a staircase railing. Which is a true statement about the measure of angle DCJ marked rº on the diagram? (Pi

cture included)
Additional Information: AG || ray CJ and ray AD || ray FJ
A. It equals 30 degrees by the alternate interior angles theorem
B. It equals 30 degrees by the corresponding angles postulate
C. It equals 50 degrees by the alternate interior angles theorem
D. It equals 50 degrees by the corresponding angles postulate

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0
Solutions 

The correct answer to the given question is 

DCJ marked rº on the diagram <span>equals 50 degrees by the corresponding angles postulate. 

= (D) </span>
RSB [31]3 years ago
6 0
Hello,

Answer D

It equals 50 degrees by the corresponding angles postulate

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The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from
makvit [3.9K]

Answer:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

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T -98.6 \geq 3

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3 years ago
What is the range of the function f(x)=(x-4)^2-5
uranmaximum [27]

f(x) = (x - 4)^2 - 5

Vertex (4 , -5)

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3 years ago
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Look at picture. Does anybody know the answer I’m lost?
masha68 [24]

Let x,y be the dimensions of the rectangle. We know the equations for both area and perimeter:

A=xy=36

P=2(x+y)=36 \iff x+y=18

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\begin{cases}xy=36\\x+y=18\end{cases}

From the second equation, we can deduce

y=18-x

Plug this in the first equation to get

xy=x(18-x)=-x^2+18=36

Refactor as

x^2-18x+36=0

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x=9\pm3\sqrt{5}

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If we chose the positive solution, we have

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If we choose the negative solution, we have

x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}

So, we're just swapping the role of x and y. The two dimensions of the rectangle are 9+3\sqrt{5} and 9-3\sqrt{5}

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Answer:

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