<h2>
Answer</h2>
After the dilation 
around the center of dilation (2, -2), our triangle will have coordinates:
<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor . Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:
Now we can finally draw our triangle:
<h3>
Answer: 5 < x < 29</h3>
=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
If 28 tiles is placed in 7 rows then each row has 4 tiles.
<u>Step-by-step explanation:</u>
The total number of tiles given =28.
The number of rows = 7.
The number of tiles in each row is given by diving the total number of tiles given by the number of rows.
No of tiles in each row= 
.
No of tiles in each row = 
.
No of tiles in each row = 4.
Note: You can replace the values according to the given values.
Answer:
Step-by-step explanation:
Hello,
<u>The mean of five numbers is 8</u> so we can write
<u>When another number is added the mean is 7</u>, let s note x the another number we can write
From the first equation we can say
So the second equation becomes
The solution is then 2
Hope this helps
You can factor out 36*5=180 and 27*4=108 and find that they have 36 as greatest common divisor. The x and y factors have xy as the best you can divide by. So the factor becomes 36xy
36xy(5y²+3) = 36x5y³ + 27x4y
