The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).
<h3>What is the right-angled triangle?</h3>
A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.
The three sides of the triangle will be calculated by applying the Pythagorean theorem:-
The sum of the square sides will be equal to the square of the third side.
For sides (6,6√3, 12)
12² = 6² + (6√3)²
144 = 36 + (36 x 3)
144 = 36 + 108
144 = 144
Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).
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Answer:
a) x = 2 b) y = 5
Step-by-step explanation:
For a)
NOTE: Since line EC bisects angle FEG, it will be divided into 2 equal parts
angle FEG = 58
angle FEC = 11x + 7
angle CEG = 11x + 7
So:
58 = (11x + 7) + (11x + 7)
58 - 7 - 7 = 11x + 11x
44 = 22x
x = 2
For b)
angle AED = 16y + 10
angle AED = 90°
90 = 16y + 10
90-10 = 16y
y = 80/16
y = 5
The name is Hundred place
Answer:
x<5
Step-by-step explanation:
-3x > -15
Divide -3 on both sides:
x<5
*Note the sign switches because
the x is negative. The sign only
switches when the number you
are dividing by is negative.*