Answer:
Step-by-step explanation:
Given :
QR⊥PT
To Prove :
Solution:
Statements Reasons
QR⊥PT Given
∠QRP and ∠SRT are right angles Def of perpendicular
∠QPR≅∠STR Given
∠QRP = ∠SRT All right angles are equal
ΔPQR≈ΔTSR AA similarity
Hence
Answer:
D.
Step-by-step explanation:
Line D. shows the numbers less than 4. Trust me on this.
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Answer:
(x, y) = (1, ±2)
Step-by-step explanation:
To solve this pair of equations, one can add the second equation to twice the first:
2(2x +y^2) +(3x -2y^2) = 2(6) +(-5)
4x +3x = 12 -5 . . . . simplify a bit
7x = 7 . . . . . . . . . . . collect terms
x = 1 . . . . . . . . . . . . divide by 7
Then y can be found from the first equation:
y^2 = 6 -2x = 6 -2(1) = 4
y = ±√4 = ±2
The solutions are ...
(x, y) = (1, -2) or (1, 2)
Answer:
Mean : 5.55
Median : 5
Mode : 5
Step-by-step explanation:
To find the mean, you have to add all of the total numbers up.
3+4+4+5+5+5+5+6+7+7+10 = 61
Then divide them with how much numbers there were.
61 ÷ 11 = 5.54 ≈5.55
To find the median, align all the numbers in a row. (From lowest terms to highest)
3,4,4,5,5,5,5,6,7,7,10
To find the Median, look for the middle number in the Row. If there are 2 numbers , add both and divide by 2 so you could get your median.
3, 4, 4, 5, 5, 5, 5, 6, 7, 7 ,10
To find the Mode, all you have to do is simply find the number that appears the most.
Which is 5.
√42 is an irrational number, because you cannot express the answer as a fraction (ratio), and it certainly isn't a whole number or an integer.