Serena will get $13.00 in change from the 20 dollar bill.
Answer:
x = 16°
4x-7 = 57°
3x+4 = 52°
5x-9 = 71°
Step-by-step explanation:
All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.
4x-7 + 3x+4 + 5x-9 = 180
Simplify by combining like terms.
12x-12 = 180
Then, do inverse operations to find x.
12x=192
x=16
Now that we found x, we can substitute 16 for x in each angle equation in the triangle.
4(16)-7 = 57
3(16)+4 = 52
5(16)-9 = 71
Answer:
5x + 6
Step-by-step explanation:
4x - 3 + 2x + 1 - x + 8
= 4x + 2x - x -3 + 1 +8
= 5x + 6
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

Answer:
42%
first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .
then it is shown that 9 girls like biology and boys ...anon
20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .
to get the boys who like biology u subtract 38 from their total which is 71 to get 33.
33 + 9 = 42
42/100 = 42%