Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
Both the first choice and the fourth choice are correct because the sum of supplementary angles is 180°
Answer:
He can buy 2 outfits
Step-by-step explanation:
How to arrive at the answer is: Since it says that Mr. Trager bought a new bike for $273.98. Subtract $ 273.98 from $ 500.00. The answer is $ 226.02. Then it says he bought 3 bike reflectors for $ 7.23.To find how much the bike reflectors cost, multiply 7.23 by 3. The answer is $21.69. Then subtract $ 21.69 from $ 226.02. The answer is $ 204.33. Then it says he bought a helmet for $ 42.36. Subtract $ 42.36 from $ 204.33. The answer is $ 161.97. Then it says he plans to buy cycling outfits for $ 78.12 each. To find out how many he can buy, subtract $ 78.12 until you can't anymore. You can subtract $ 78.12 once and the answer is $ 83.85. It looks like we can subtract one more time. Then we subtract $ 78.12 again, and he has $ 5.73 left. We subtracted twice, so he can buy 2 outfits.
11-8=3 where as 2+1=3
I did something like this before but there are other teaching methods that his teacher might be using so I apologize if I am incorrect. :)
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
