Let x be the degree of angle a.
Angle b: 20+3x
Angle c: 55+x
We know that all angles add up to 180 degrees.
180=x+(20+3x)+(55+x)
180= 5x+75
180-75=5x
105/5=x
21=x
Angle a: 21 degrees
Angle b: 20+3(21) => 83 degrees
Angle c: 21+55 => 76 degrees
Hope I helped :)
Answer:
the two positive consecutive integers are 4 and 6.
Step-by-step explanation:
Let the smaller integer be s; then s^2 = (s + 2) + 10.
Simplifying, s^2 - s - 2 - 10 = 0, or
s^2 - s - 12 = 0.
Solve this by factoring: (s - 4)(s + 3) = 0.
Then s = 4 and s = -3.
If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.
The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?
4^2 = (4 + 2) + 10 True or False?
16 = 6 + 10 = 16.
True.
So the two positive consecutive integers are 4 and 6.
Each pair of sneakers cost $33.25
Step-by-step explanation:
Given,
Total spent by Mark = $68.82
Sales tax = $5.32
Coupon used = $3.00
Price without sales tax = Total spent - sales tax
Price without sales tax = 68.82 - 5.32 = $63.50
As Mark used coupon, we will add this amount.
Amount of sneakers = Price without sales tax + Coupon used
Amount of sneakers = 63.50+3.00 = $66.50
As this is price of two sneakers, we will divide it by 2;
Cost of one sneaker = 
Each pair of sneakers cost $33.25
Keywords: subtraction, addition
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