Triangle XYZ is translated 4 units up and 3 units left to yield triangle X'Y'Z'. What is the distance between any two corresponding points on triangle XYZ and triangle X'Y'Z'?
Answers
Answer
5 units
Explanation
The translation of the points X<Y and Z makes a right triangle with legs 3 units and 4 units.
The distance between the correspong is the hypotenuse of the triangle.
Using the Pythagoras theorem;
c² = a² + b²
Where a and b are the legs and c is the hypotenuse.
c² = 3² + 4²
= 9 + 16
= 25
c = √25
= 5 units
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Answers
The elapsed time between 4:25 and 7:40 is 3 hours and 15 minutes.
Given that two times 4:25 and 7:40, we need to calculate the time elapsed between these two.
To calculate the elapsed time between 4:25 and 7:40, you need to subtract the starting time from the ending time.
First, let's calculate the difference in hours. From 4:25 to 7:40, we can see that the hours have changed from 4 to 7, which means 3 hours have passed.
Next, let's calculate the difference in minutes. From 4:25 to 7:40, the minutes have changed from 25 to 40.
This means that an additional 15 minutes have passed.
Therefore, the elapsed time between 4:25 and 7:40 is 3 hours and 15 minutes.
Learn more about subtraction click;
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Answers
if n = 1 => x = 150/1.08 => x = 138.88 $;
if n = 2 => x = 150/ 1.16 => x = 129.31 $;
Answers
Answer: 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120. Anyone one of these would be equivalent to 3/10.
Step-by-step explanation:
Answer: 9/30
Step-by-step explanation:
Answers
Answers
Answer: is the inequality and x is the number of seats in each row in the ground floor.
Step-by-step explanation:
Since, The total number of people may attend = People in the balcony + People in the ground floor.
And, According to the question, Number of the people in the balcony = 120
Now, Let x represents the number of the seats in the ground floor,
While y represents total number of people.
And, again according to the question,
There are 32 rows on the ground floor,
Therefore, the number of the people in the ground floor = 32 x
y = 120 + 32 x
But, the total number of the people must be not more than 720.
Therefore,
⇒
⇒
⇒
Where x is the number of seats in the ground floor.
32*x < 600
x < 18.75
because of x represents the number of seats in each row, it has to be a natural number -- whole. so x=18 is the max number of seats in each row and x < 18.75 is the desired inequality.
Answers
y=2.5x+5
you subtract 5 from both sides.
-5=2.5x
then divide both sides with 2.5
-5/2.5 2.5/2.5
the 2.5s will cancel each other out.
x=-2