Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Step-by-step explanation:
Since we have given that
ΔPQS, and ΔSQR,
Consider, ΔPQS,
As we know that " the length opposite to the largest angle is the shortest segment."
So, According to the above statement.
Similarly,
Consider, ΔSQR,
Again applying the above statement, we get that,
Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Answer:
Step-by-step explanation:
X=5
Answer:
X < -3
Step-by-step explanation:
4 - 3x > 13
First move the 4 over, subtract from both sides:
-4 + 4 - 3x > 13 - 4
-3x > 9
Now move the -3 over, divide on both sides.
When you multiply or divide by a negative, you have to reverse the sign.
-3x/-3 < 9/-3
X < -3
Answer: 17 and 25
Step-by-step explanation:
Let X and Y be the two numbers.
---------------
X + Y = 42 [sum of two numbers is 42]
X - Y = 8 [their difference is 8]
-------------------
Rearrange the last equation to
X = 8 + Y
Now enter that into the 1st equation:
X + Y = 42
(8+Y) + Y = 42
2Y = 34
<u>Y = 17</u>
Since X - Y = 8,
X = 8 + 17
<u>X = 25</u>
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X + Y = ?
17 + 25 = 42 <em>Checks</em>
X - Y = ?
25 - 17 = 8 <em>Checks</em>
