Answer:
The measure of x is 
Step-by-step explanation:
we know that
The formula to calculate the sum of the internal angles of a polygon is equal to
where
n is the number of sides
In this problem we have
substitute
Find the measure of each internal angle
Divide the sum of the internal angles by the number of sides
The value of x is half the measure of internal angle
so
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
I'd say angle A = angle B
arc tangent (angle B) = 150 / 555
<span><span><span>arc tangent (angle B) = 0.2702702703
</span>
angle B = 15.124 degrees
By the way 555 feet is the height of the Washington Monument.
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Answer: 2x-52
Step-by-step explanation:
Answer:
x = 38, y = 4
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the base angles are congruent, that is
∠ DAB = ∠ DCB = 52°
Subtract the sum of the base angle from 180° for ∠ ABC
∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°
Note that ∠ ABD = ∠ CBD, thus
x = 76 ÷ 2 = 38
BD bisects the side AC, thus DC = AD = 4
Thus y = 4
