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solong [7]
3 years ago
5

Find the value of x for which m is parallel to n A) 10 B) 12 C) 40 D) 52

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:  x=5\textdegree

Explanation:

Since we have given that

line m and line n are parallel to each other,

So,

Corresponding angles are equal , as shown in the figure ,

According to question,

19x\textdegree=180\textdegree-17x\textdegree\\\\19x\textdegree+17x\textdegree=180\\\\36x\textdegree=180\textdegree\\\\x=\frac{180}{36}\\\\x=5\textdegree

Hence, x=5\textdegree


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According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instruct
abruzzese [7]

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

8 0
3 years ago
HELPPPOO ASAP please!
Trava [24]

Answer:

y = -1

Explanation:

Because the line is horizontal (intersecting the y-axis), you can ensure that the equation will be y = (a number). You can find which part of the y-axis it intersects by looking at the graph, and it intersects -1.

7 0
3 years ago
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the
love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0
2 years ago
I need help... on my homework it says to write each expression in radical form, or write each radical and exponential form . For
pantera1 [17]

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How many real sixth roots are in 15,625?
Murljashka [212]

There are two real roots  (5 and -5) and 4 imaginary roots

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3 years ago
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