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crimeas [40]
3 years ago
13

The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates?

Mathematics
2 answers:
Alex3 years ago
6 0

the answers are A' (6,5) B' (3,1) and C' (1,6)

Whitepunk [10]3 years ago
4 0

Answer:

A'(6,5),  B'(3,1) and C'(1,6)

Step-by-step explanation:

The reflection of a given point over the line x = 5 doesn't change its y- coordinate.

The distance from the original point to the line must be the same as from the reflected point to the line, then:

distance from A(4,5) to x = 5 is 5-4 = 1, then the x-coordinate of A' is 5+1 = 6

distance from B(7,1) to x = 5 is 7-5 = 2, then the x-coordinate of B' is 5-2 = 3

distance from C(9,6) to x = 5 is 9-5 = 4, then the x-coordinate of C' is 5-4 = 1

Therefore, the reflected points are: A'(6,5),  B'(3,1) and C'(1,6)

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A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

Occupied\ Seats = \frac{1350}{9}

Occupied\ Seats = 150

Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

Number = 40\%\ of\ 150

Convert percentage to decimal

Number = 0.4 * 150

Number = 60

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
3 years ago
One fifth of the animals at the shelter are stray cats. If there are 13 stray cats at the shelter, how many animals are there in
Natali [406]

Answer:

1/5 x X = 13

x5           x5

x = 65 in total

4 0
2 years ago
Si -x+y+z=75, entonces -(x+3)+(y-5)+(z-6)=
jenyasd209 [6]

Answer:

67

Step-by-step explanation:

● -(x + 3) + (y - 5) + (z - 6)

● -x - 3 + y - 5 + z - 6

● (-x + y + z) + (3 -5 -6)

● 75 + 3 - 11

● 78 - 11

● 67

8 0
3 years ago
Rewrite each fraction with a denominator of 10 7/2=? 3/5=?​
motikmotik
The answer is 35/10 and 6/10
5 0
2 years ago
Instructions: Find the missing side of the triangle.<br> 24 and 7
ANTONII [103]
We can use the Pythagorean theorem to solve this. The Pythagorean theorem is a^2 + b^2 = c^2. We already have a and b, we need to find c. 24^2 + 7^2 is 625. Then, we need to find the square root of 625 to find c. The answer is 25. x = 25.
5 0
3 years ago
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