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Virty [35]
3 years ago
14

If a line intersects two sides of a triangle, then it forms a triangle that is similar to the given triangle. always sometimes n

ever

Mathematics
2 answers:
azamat3 years ago
7 0
<span>If that line is parallel to one of the sides, then the statement is true.</span>
MAVERICK [17]3 years ago
7 0

Answer: Sometimes.


Step-by-step explanation:  The condition is not always true. As explained in the figure attached, In triangle AB, line MN is not parallel to the side BC but in triangle DEF, line PQ is parallel to the side EF. We can see that triangle AMN is not parallel to triangle ABC but triangle DPQ is similar to triangle DEF. Thus, for the triangles to be similar, the line should be parallel to the third side of the triangle with which the line is not intersecting.

Thus, it is sometimes true.


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Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid
Bezzdna [24]

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

6 0
2 years ago
Among 1,200 Chinese tourists who are visiting Nepal,45 of them already visited India,40 have visited Pakistan and 15 have visite
SOVA2 [1]

30 visited nepal only 25 visited Pakistan only. 15 tourists at the intersection of the two circles and 1130 have not visited either

8 0
3 years ago
Read 2 more answers
Choose all the fractions that are in simplest form.<br> 4/26<br> 8/21<br> 6/19<br> 9/10<br> 10/22
dimulka [17.4K]
4/26 can be simplified by 2. So, this is not the answer.
8/21 cannot be simplified. So, it is one of the answers.
6/19 cannot be simplified. So, it is one of the answers.
9/10 cannot be simplified. So, it is one of the answers.
10/22 can be simplified by 2. So, this is not the answer.

So, the fractions in simplest forms are 8/21, 6/19, and 9/10.
3 0
3 years ago
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 555
a_sh-v [17]

Answer:

b c d

Step-by-step explanation:

8 0
3 years ago
Researchers have concluded that a dry basin began to fill with water in 1880. the water level rose an average of 1.6 millimeters
docker41 [41]

Answer:

  1. the domain is [0,129]
  2. 112 mm
  3. 1942

Step-by-step explanation:

1. The function is good for years 1880 to 2009, 0 to 129 years after 1880. Values of x can be anything in the domain [0, 129].

__

2. 1950 -1880 = 70. The year 1950 corresponds to x=70, so the function tells us the water level rose ...

  f(70) = 1.6·70 = 112 . . . . . mm

__

3. We want to find x when f(x) = 100. That will be the solution to ...

  100 = 1.6x

  100/1.6 = x = 62.5

Then 62.5 years after 1880 is year 1942.5. The water level was 100 mm higher than in 1880 in the year 1942.

3 0
2 years ago
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