We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1
in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2
in the triangle QTR
TQ²=TR²+36-----------> equation 3
<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
TS=6√6 units
the answer is
TS=6√6 units
<span>6 is the square root of 6 units</span>
Here you have an equilateral triangle. Because of this you know that all angles are also the same as each other. We know that the angles in an equilateral triangle are 60°.
so let's set 7x + 4 = 60
Subtract 4 from both sides: 7x = 56
Divide both sides by 7: x = 8
Answer:
A
Step-by-step explanation:
To find the value you can just find 12% of each number (trial and error), until one of them gives you 90 as an answer:
A) 750
750 * 0.12 = 90
B) 1080
1080 * 0.12 = 129.6
C) 360
360 * 0.12 = 43.2
D) 1168
1168 * 0.12 = 140.16
This tells you that 90 is 12% of the 750, and that is why it is your answer
I hope this helps!
Answer:
16/52
Step-by-step explanation:
A 4 or a club4/52 + 13/52 - 1/52 = 16/52 = 4/13f. A 6 or a spade4/52 + 13/52 - 1/52 = 16/52 = 4/13g. A heart or a club13/52 + 13/52 = 26/52 = 1/2h.
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