Answer:
∠ WUV = 36°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ VWX is an exterior angle of the triangle, thus
8x - 18 = 2x + 8 + 3x + 16
8x - 18 = 5x + 24 ( subtract 5x from both sides )
3x - 18 = 24 ( add 18 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Thus
∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°
Step-by-step explanation:
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Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs
we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2
substitute 2 in 1
2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50
the answer is
50 bags of popcorn
25 bags of hotdogs<span />
To do this you need the mean.
(81*9+70)/10 that is the mean equation.
Solve.
(799)/10
79.9
79.9% Will be your grade or a C
1. Let hardcover books = X
Paperback books would be 4x -3 ( 3 less than 4 times)
Now you have:
X + 4x-3 = 447
Simplify:
5x - 3 = 447
Add 3 to each side:
5x = 450
Divide both sides by 5:
x = 450/5
x = 90
He has 90 hardcover books.
2. 300 miles / 25 miles per gallon = 12 gallons of gas.
12 gallons x $$ per gallon = $48 dollars
3. Subtract base pay from total:
1916 - 800 = 1,116 worth of commissions.
Divide commissions by percentage:
1116 / 0.09 = $12,400 total sales.
4.
Find the median of the heights: 65-50 = 15. 15/2 = 7.5
Median = 50+7.5 = 57.5
The equation would be |h-57.5| < 7.5
