Angles (7x+17)° and (5x-5)° are consecutive interior angles, that means they add up to 180<span>°.
So we can make an equation to solve for x, which eventually will help us solve for y.
180</span> = (7x+17) + (5x -5)
re arrange that:
180 = 7x + 5x + 17 - 5
180 = 12x + 12
- 12 -12
168 = <span>12 x
</span> 12 12
14 = x
Now we will plug it into (5x - 5) to help us solve for y,
Angle (5x - 5) and (23y) are supplementary angles, meaning they equal to 180°.
<span> 180 = (23y) + (5(14) - 5)
180 = (23y) + (70 - 5)
180 = 23y + 65
- 65 - 65
<u>115</u> = <u>23y</u>
23 23
___ = y
Good luck!
</span>
Ithe answer is c bec if there is 3 nuts you have 1 out of 3 chance to pull out a almond or cashew.
So you know that the two sides have to be the same number so the two sides are 14 the other side is 7
Answer:
The area of the shaded region is 
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle
Step 1
<em>Find the area of the larger circle</em>
The area of the circle is equal to
we have

substitute in the formula

step 2
<em>Find the length of each side of square BCDE</em>
we have that

The diagonal DB is equal to

Let
x------> the length side of the square BCDE
Applying the Pythagoras Theorem

step 3
<em>Find the area of the square BCDE</em>
The area of the square is

step 4
<em>Find the area of the smaller circle</em>
The area of the circle is equal to

we have

substitute in the formula

step 5
Find the area of the shaded region

The answer should be A and D