Explanation:
It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.
We can write two equations that make use of the Pythagorean theorem:
PQ² = PR² +RQ²
RS² = QS² +RQ²
Then we can swap sides of the first equation and subtract the second equation. This gives ...
(PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)
Adding RQ², we can write this as ...
PR² -RS² +2RQ² = PQ² -QS²
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The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.
Since PQ² - QS² is a positive number, PQ > QS.
71 is the answer. If you round it, it would be 70.
Answer:
The answer is 31/20.
Step-by-step explanation:
First, you have to have both fractions the same denorminator :
Next, you have to subtract :
<span>So we want to start at 476. Then subtract and add 107 to find the standard deviation increments above and below.
</span><span>476-107=369
</span>369-107=199
199-107=29
Answer:
x = 80°
Step-by-step explanation:
To solve this we just need to know that the sum of the inner sides of a triangle will always give us 180 °
from here we only have to apply a simple formula by adding the sides of the triangle and knowing that the result is 180 and from there clear the value x that we need to find out
70 + 30 + x = 180
x = 180 -30 - 70
x = 80°
