Find the measure of y A. 43 B. 90 C. 53 D. 47

===============================================

Explanation:

Notice how inscribed angles x and y subtend (or cut off) the same minor arc measure. This means that x = y. So if we find x, we found y also.

The vertical line is a diameter of the circle. The blue angle marked in the diagram below is a right angle due to Thales Theorem, which is a special case of the inscribed angle theorem. Thales Theorem says that any inscribed angle in a semicircle is 90 degrees.

Therefore the triangle marked in red (same diagram) is a right triangle, allowing us to say

x+47+90 = 180

x+137 = 180

x = 180-137

x = 43

So y = 43 as well.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: