The sum of the opposite interior angles is equal to the exterior angle.
So,
∠CAB + ∠ACB = ∠CBD
x + 40 + 3x + 10 = 6x
4x + 50 = 6x
2x = 50
x = 25°
∠CAB = x + 40 = 25 + 40 = 65°
Hence, the answer is D.
The answer is straightforward, by the "rule of product":
There are
3×8×2=48
3×8×2=48
different combinations (distinct possible cars) that can be created.
There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:
Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car
Step-by-step explanation:
∑k=150(3k+2)
First find a1 and a50 :
a1=3(1)+2=5a20=3(50)+2=152
Then find the sum:
Sk=k(a1 + ak)2S50=50(5 + 152)2=3925
The value of x=20
Step-by-step explanation:
We need to find the value of x
We are given a right angle which is equal to 90°
So, all three angles must sum to 90°
Our equation will be:

Solving and finding value of x

So, the value of x=20
Keywords: Angles
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