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Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
Answer:
X=50
Step-by-step explanation:
15×2=30
25×2=50
Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
