Answer:
A
Step-by-step explanation:
B and D have to be supplementary otherwise it wouldn't be a parallelogram
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
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For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
<span>Question:
441 is 63% of what number?
=> 63% = 63% / 100% = 0.63
Since 441 is the 63% let’s find the value of 37% to get the toal of 100%
Solution, follow the formula
=> 0.63x = 441 – where x will be the value of the missing 100% value.
=> x = 441 / 0.63
=> x = 700 – the 100% value that have 441 as 63%
let’s check if we have the correct answer:
=> 700 * .63 = 441 </span>
<span>75 kilograms
The equation given for BSA doesn't look correct, perhaps due to formatting issues involving a simple copy and paste without any proofreading afterwards. Doing a quick google search gives the Mosteller formula for BSA which is:
BSA = sqrt(W*H/3600)
This formula is quite likely the original target of the copy and paste since it has all of the correct values and it's likely that the square root symbol wasn't properly pasted, nor the horizontal bar indicating division. So I'll use the Mosteller formula in solving this problem:
First, solve for W, then substitute the known values and calculate:
BSA = sqrt(W*H/3600)
BSA^2 = W*H/3600
3600*BSA^2 = W*H
3600*BSA^2/H = W
3600*1.96^2/185 = W
3600*3.8416/185 = W
74.755 = W
So the weight of the adult is 75 kilograms.
If the incorrectly copied equation of Bâ˘Sâ˘A=Hâ‹…W3600 were to be used and if the missing operator between the W and the 3600 were a divide symbol, the calculated value would be 38 kg, which is rather light for someone 185 cm tall since the low end of healthy is 65 kg. And if the missing operator between the W and 3600 was a multiply, then the calculated weight would be 3 micrograms which is way too small for a human being, no matter how starved. However, the value calculated using the Mosteller formula would represent a BMI of 22 which is about average for a normal healthy adult.</span>
