The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
<h3>What is the line segment about?</h3>
The law of the side- splitter connote that when f the line is parallel to a side of the triangle and if that said line do intersects the other 2 sides, tt is said to divides those given sides proportionally.
So the converse means that when the sides are proportional so therefore, the side TU is said to be parallel to the side RS.
Thus;
= 

Therefore, the ratios are equal and as such TU is parallel to RS
Hence, The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
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Answer:
x = 4
, y = 6
Step-by-step explanation:
Solve the following system:
{x + 3 y = 22 | (equation 1)
2 x - y = 2 | (equation 2)
Swap equation 1 with equation 2:
{2 x - y = 2 | (equation 1)
x + 3 y = 22 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x - y = 2 | (equation 1)
0 x+(7 y)/2 = 21 | (equation 2)
Multiply equation 2 by 2/7:
{2 x - y = 2 | (equation 1)
0 x+y = 6 | (equation 2)
Add equation 2 to equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer: {x = 4
, y = 6
Answer: i) 216 liters ii) 60 cm
<u>Step-by-step explanation:</u>
i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters
ii) ![\sqrt[3]{216,000\ cm^3} =60\ cm](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%2C000%5C%20cm%5E3%7D%20%3D60%5C%20cm)
Answer:
2
Step-by-step explanation:
Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.
0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9
There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.
The median is 2
Answer:
The temperature at the start is 35F
The temperature of the room is 74F
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Step-by-step explanation:
Given

Solving (a): The temperature at the start.
To do this, we set: 
So, we have:




<em>Hence, the temperature at the start is 35F</em>
<em></em>
Solving (b): The room temperature
We have:

To get the temperature of the room, we simply remove the exponential function.
So, we have:

<em>Hence, the temperature of the room is 74F</em>