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Pavlova-9 [17]
2 years ago
15

The reflection of a point P across a line m is the

Mathematics
1 answer:
masya89 [10]2 years ago
4 0

Answers:  perpendicular bisector;  image

  • The reflection of a point P across a line m is the point P' if line m is the <u>   perpendicular bisector    </u> of segment PP'
  • Point P' is called the <u>     image    </u> of point P.

=============================================================

Explanation:

If we were to reflect point P over line m to land on P', then we've gone from pre-image to image.

Let's say that Q is the point on segment PP' and it's also on line m. We consider Q the midpoint of segment PP' which means PQ and P'Q are the same length. This indicates P and P' are the same distance away from the mirror line, and that point Q bisects segment PP'. Also, line m is perpendicular to segment PP'. So that's where the "perpendicular bisector" comes from.

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Brendan has 33 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 615 cents, how many
Amanda [17]
If all were dimes, the value would be $3.30. Brendan has $2.85 more than that. Each quarter that replaces a dime increases the value by $0.15, so Brendan must have $2.85/$0.15 = 19 quarters.

Brendan has 14 dimes and 19 quarters.
6 0
3 years ago
1. A crash repair bill comes to $1380.00. How much is 10% of
SpyIntel [72]

Answer:

1. 10% of the bill is $138. The final bill once 10% is taken off is $1242.

2. 20% of the total is $34.10. The final total once the 20% is taken off is $136.4

Step-by-step explanation:

1. A crash repair bill comes to $1380.00. How much is 10% of the bill? What is the final bill once 10% is taken off?

To find how much is 10% of the bill, we multiply the bill by 0.1

0.1*1380 = 138

10% of the bill is $138.

To find the final bill, we subtract the initial bill by 10%.

1380 - 138 = 1242

The final bill once 10% is taken off is $1242.

2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?

Same logic as above.

0.2*170.50 = 34.1

20% of the total is $34.10.

170.50 - 34.1 = 136.4

The final total once the 20% is taken off is $136.4

8 0
3 years ago
Jordan uses a 20% off coupon when she buys a camera that originally cost $100.00 How much money does jordan save and what is the
prohojiy [21]
100 - (1-20%) = 80$
so basically the camera cost 80
5 0
3 years ago
Read 2 more answers
Y<br> 45°<br> 30°<br> N<br> 17<br> I need help pls
melisa1 [442]

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H (Sine=\frac{opposite}{hypotenuse} )

C=A/H (Cosine=\frac{adjacent}{hypotenuse} )

T=O/A (Tangent =\frac{opposite}{adjacent} )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

\frac{17}{tan(30)} = 29.44486372...

x=29.4

Try to do <em>y</em> on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

4 0
3 years ago
Use algebra tiles to model the expression and combine like terms. Complete the statements.
gulaghasi [49]

Answer:

The equivalent expression is 4x + 3

3 0
2 years ago
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