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The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC?
a. 120°
b. 135°
c. 108°
d. 144°
a. The measure of an angle of a regular polygon of n sides is n - 2 × 180. Since a hexagon has 6 sides, to determine the measure of ∠ABC, substitute n = 6 and simplify. The measure of ∠ABC is 6 - 2 × 180 or 120°. If you select b, you assumed a hexagon has 8 sides. If you select c, you consider a hexagon has 5 sides. If you select d, you considered a hexagon has 10 sides.
if the numerator of a fraction is decreased by 40% and the denominator is increased by 100% the new value is 1. what was the original factor
A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy. Ans: Let the C.P be x ∴Gain = x % ⇒ Gain = x
6987+746-212*7665
Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r
use the simplex method to solve the following lp problem. max z = 107x1 + x2 + 2x3 subject to 14x1 + x2 - 6x3 + 3x4 = 7 16x1 + x2 - 6x3 3x1 - x2 - x3 x1,x2,x3,x4 > = 0
Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.
Q. Basic Set Union Operation? Ans. Suppose instead that your school needs to know which students are taking either art or business or both. Then the students who are ta
Volumes of Solids of Revolution / Method of Cylinders In the previous section we started looking at determine volumes of solids of revolution. In this section we took cross se
The temperature at 6 P.M. was 31°F. Through midnight, it had dropped 40°F. What was the temperature at midnight? Visualize a number line. The drop from 31° to 0° is 31°. There
y=mx+c
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