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Kipish [7]
3 years ago
5

RSTU is a rectangle with vertices at R(-3,1), S(1 ,1), T(-3,3) and U (1, 3). Describe two lines of reflection that would carry t

he rectangle onto itself. (enter as x = and y =)

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0

Answer:

The two lines of reflection are x=-1 and y=2

Step-by-step explanation:

I will attach a file with the graph of the rectangle and the lines of reflection.

We know that RSTU is a rectangle with vertices at R=(-3,1) , S=(1,1),

T=(-3,3) and U=(1,3)

The first step is to draw the vertices on the plane and them the rectangle.

The rectangle is a symmetrical figure. Therefore if we want to carry the rectangle onto itself using a line of reflection this line must goes through the centroid of the rectangle.

Given that we have a rectangle whose width is a and its length is b its centroid will be place at (\frac{a}{2},\frac{b}{2}).

Looking at the graph and using this information we find that the two lines of reflection are x=-1 and y=2.

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Mashutka [201]

Answer:

The answer would be: 560 miles = 84.5 hours

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Step-by-step explanation:

8 0
2 years ago
What is the slope of a line that passes through the<br> points (5,-2) and (-3, -4)?
dedylja [7]

Answer:

______________the answer is Y=0.25X-3.25_______

4 0
2 years ago
Laurie was completing the treasurer's report for her son's Boy Scout troop at the end of the school year. She didn't remember ho
FrozenT [24]

Answer:

14 boys paid for the full year fee and 4 boys paid for the partial year fee

Step-by-step explanation:

Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:

24x + 16y = 400

x = y + 10

Solve by substitution by plugging in y + 10 as x:

24x + 16y = 400

24(y + 10) + 16y = 400

Solve for y:

24y + 240 + 16y = 400

40y + 240 = 400

40y = 160

y = 4

Then, plug in 4 as y to find x:

x = y + 10

x = 4 + 10

x = 14

So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.

8 0
2 years ago
What is the slope of a line that is parallel to y = 5x + 3?
Marina86 [1]

Answer:

slope = 5

Step-by-step explanation:

The equation of a lin in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 3 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes , then

The slope of a line parallel to y = 5x + 3 is 5

4 0
2 years ago
What's the answer for this? Explain
alexandr402 [8]
Exterior angle is equal to sum of interior opposite angles hence,

req. angle = 80 + 62 = 142
6 0
3 years ago
Read 2 more answers
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