I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
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Answer:
There are total number of pet fish and reptile pets are 
.
Step-by-step explanation:
Number of pet fish are 
and the number of pet reptiles are 
.
It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :
So, there are total number of pet fish and reptile pets are .
Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
