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jekas [21]
3 years ago
9

What happens to the diagonal of a rectangle when the rectangle is reflected across a line of symmetry? What does this suggest ab

out the diagonals of rectangles?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.

Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).

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timofeeve [1]

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

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3 years ago
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natima [27]

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Step-by-step explanation:

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Caroles new job will pay $3,525 per month, but about 30% will be withheld for taxes. Estimate her pay after taxes
Juli2301 [7.4K]

Answer:

i think the answer would be $2467.5 per month (got exact answer without estimating)

Step-by-step explanation:

30% (taxes) in decimals would be 0.3

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which then you would subtract 3,525-1057.5 =

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vladimir2022 [97]
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3 years ago
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evablogger [386]

Answer:

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Step-by-step explanation:

First, just simplify the inequality.

-18 < 5x - 8 < 17

-10 < 5x      < 25

-2  <  x        < 5

Answers that fit this inequality:

-1, 0, 3

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3 years ago
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