n + q = 35
n = 35-q
0.05n + 0.25q = 8.15
0.05(35-q) +0.25q = 8.15
1.75 -0.05q + 0.25q =8.15
1.75 + 0.20q = 8.15
0.20q = 6.40
q = 6.40 / 0.20 = 32
32 quarters and 3 nickels
Answer:
A) g = 11
Step-by-step explanation:
26 = 7g - 63 + 12
26 = 7g - 51
77 = 7g
g = 11
Answer:
- 15+2n
- 6(x-3)
Step-by-step explanation:
- 8m+4n+7n-2n
- 8m+7n+4n-2n
- 15n+2n
- 3(2x-6)
- 3 multipied by 2x and 6= 6x-18
- The GCF(greatest common factor)is 6
- 6x divided by 6 is x and 18 divided by 6 is 3
so the GCF goes outside the parenthesis and the numbers you got after you divided goes inside. 6(x-3)
Hope this helps!
First use the distance formula to find the radius of the circle:
d=

d=

d=

d=

d=

d=|17|
d=17
Next, find the equation of the circle (use the first picture):
(x+1)^2+(y-5)^2=17^2
Finally, input the equation into a graphing calculator:
(2nd picture)
Answer:
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer
Step-by-step explanation:
In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle
In Δ VUW
∵ WV = 6 cm
∵ WU = 3
cm
∵ UV = 3 cm
- Use the rule above tho check if it is a right Δ or not
∴ The longest side is WV
∴ The shortest two sides are WU and UV
∵ (WV)² = (6)² = 36
∵ (WU)² + (UV)² = (3
)² + (3)² = 27 + 9 = 36
∴ (WV)² = (WU)² + (UV)²
- That means ∠U which opposite to WV is a right angle
∴ Δ VUW is a right triangle at ∠U
∴ m∠U = 90°
Let us use the trigonometry ratios to find m∠W and m∠V
→ sin Ф =
∵ UV is the opposite side of ∠W
∵ WV is the hypotenuse
∵ sin(∠W) = 
∵ sin(∠W) = 
- Use
to find ∠W
∴ ∠W = 
∴ m∠W = 30°
∵ WU is the opposite side of ∠V
∵ WV is the hypotenuse
∵ sin(∠V) = 
∵ sin(∠V) = 
- Use
to find ∠V
∴ ∠V = 
∴ m∠V = 60°
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°