Answer:
m∠C = 66°
Step-by-step explanation:
Since AB = BD, it means this triangle is an Isosceles triangle and as such;
∠BAD = ∠BDA = 24°
Thus, since sum of angles in a triangle is 180,then;
∠ABD = 180 - (24 + 24)
∠ABD = 180 - 48
∠ABD = 132°
We are told that BC = BD.
Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC
Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.
Thus;
132 = ∠BCD + ∠BDC
Since ∠BCD = ∠BDC, then
∠BCD = ∠BDC = 132/2
∠BCD = ∠BDC = 66°
Answer: So, 8%3 = 2
Step-by-step explanation:
We know that
In French club <span>there are
10 freshman
</span><span>12 sophomores
15 juniors
30 seniors
total of the members------> (10+12+15+30)=67
total </span> freshman-----> 10
so
<span>the probability that a freshman will be chosen=10/67
and
</span><span>the probability that a freshman will not be chosen=(67-10)/67
</span>the probability that a freshman will not be chosen=57/67---> 0.8507
0.8507= 85.07%
the answer is
the probability that a freshman will not be chosen is 85.07%
Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
