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Mrac [35]
3 years ago
7

If triangle XYZ is reflected across the line y = 1 to create triangle X′Y′Z′, what is the ordered pair of X′?

Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Answer:

(1, 5)

Step-by-step explanation:

The line of reflection is y = 1, which is a horizontal line with a y-intercept of 1. Each point must be the same distance away from this line, but on the other side of it. For example, X is 4 units away from y = 1, so X' must also be 4 units away, but on the other side. X' ends up at (1, 5).

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It takes lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hour
Musya8 [376]

Answer:

Step-by-step explanation:

It takes Lucas 3 hours to cycle from his home to his friend’s village:  

3 hours • (a certain speed) = distance in miles  

If he travels 5mph slower, it will take him 1.5 hours longer:

4.5 hours • (the same speed - 5mph) = the same distance in miles

 4.5 • (x - 5) = 3x

4.5x - 22.5 = 3x

1.5x = 22.5

x = 15mph  

3hours • 15mph = 45 miles

8 0
3 years ago
The difference between a number and 7 is greater than -23
Aleks04 [339]
-23 is a negative number so that means 7 is a greater number. any number with a minus sign like this - means it’s a negative number, so any number that you have to compare it to and if that number has nothing before or after it, then that would be the greater number
5 0
3 years ago
Select the graph of the solution set that would represent the following expression. | x | > 5
ZanzabumX [31]

Answer:

It would be the first graph because |x| >5 is solved in two cases

The first case you keep everything the same, just get rid of the absolute value bars

x>5

The second case, you need to switch the sign and make the 5 negative

x<-5

When graphing you want to put an open circle on -5, and 5 because when it is < or > you have an open circle,

You then point the arrows going which ever way your sign is going, this is why the -5 is going to the left because the < sign is pointing left, and same with the 5, the arrow is going right because the > sign is pointing right

Hope this helps ;)

8 0
4 years ago
At Izzo's, t-shirts sell for $17.56 and cost $12.01 to produce. Which equation represents p, the profit in terms
g100num [7]

Answer:

The answer would be D, because it all depend on the quantity.

Step-by-step explanation:

8 0
3 years ago
A company claims that their new bottle holds 25% more laundry soap. If their original container held 53 fluid ounces of soap, ho
lana [24]

Answer:

66.25\ ounces

Step-by-step explanation:

Let

x-------> quantity contained in the new bottle

we know that

100\%+25\%=125\%=125/100=1.25

so

x=1.25(53)\\x=66.25\ ounces

4 0
3 years ago
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