Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
I believe it's 199,000 to the nearest 1,000 and
200,000 to the nearest 10,000
A hamburger costs $2.5 and a milkshake costs $1.75
Step-by-step explanation:
- Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.
4H + 2M = 13.50 ------ (1)
& 3H + 1M = 9.25 ------ (2)
- Step 2: Multiply eq(2) with 2 to make coefficients of M equal.
6H + 2M = 18.50 ------- (3)
- Step 3: Subtract eq(3) from eq(1)
⇒ - 2H = - 5
⇒ H = $2.5
- Step 4: Substitute value of H in eq(2) to find M.
⇒ 3 × 2.5 + M = 9.25
⇒ 7.5 + M = 9.25
⇒ M = $1.75
Answer:
It will take 7 weeks for Michael to reach his goal.
Step-by-step explanation:
600=50(1.5)^x
12=1.5^x
x≈6.13
