The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
<h3>Trigonometry </h3>
From the question, we are to determine the values of the missing sides
From the diagram,
Opposite = 9
Adjacent = y
Hypotenuse = x
Included angle = 45°
Using SOH CAH TOA, we can write that


∴ y = 9
Since the triangle is a right triangle, we can write that
x² = y² + 9² (<em>Pythagorean theorem</em>)
x² = 9² + 9²
x² = 81 + 81
x² = 162
x = √162
x = 12.7
Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
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Answer:
b
Step-by-step explanation:
Answer:
In parallelogram ABCD
FD is perpendicular to BC
BE is perpendicular to CD
Consider triangle BEC and triangle DFC
FC = EC (Given)
Angle BEC = Angle DFC (=90°)
Angle BCE = Angle DCF (common)
Therefore triangle BEC is congruent to triangle DFC (AAS congruency)
DF = BE (CPCT)
Since the altitudes are equal their bases will also be equal
Therefore BC = DC
Therefore BC = DC = AD = AB
Therefore ABCD is a rhombus
Hope this helps!
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Answer:
7 1/6
Step-by-step explanation:
43/6 = 7.167
6*7 = 42
7 1/6
Answer: 2
Steps:
f(-2) = 1/2x^2
f(-2) = 1/2(-2)^2
f(-2) = 1/2(4)
f(-2) = 2