9514 1404 393
Answer:
Step-by-step explanation:
In each group of 5 coins, 4 are nickels and 1 is a dime. There are 65/5 = 13 such groups, so 13 dimes, and 4×13 = 52 nickels.
Answer:
Step-by-step explanation:
In rectangle, the diagonals are equal bisect each other.
⇒ OA = OB
⇒ΔAOB is an isosceles triangle.
In ΔAOB,
x + x + 120 = 180°
2x + 120 = 180
2x = 180 -120
2x = 60
x = 30°
In ΔABD
∠A + ∠ABD ∠BDA = 180
90 + 30 + ∠BDA = 180
∠BDA = 180 - 90 -30 = 60°
ΔABD is 30 - 60 - 90 triangle.
The ratio of sides of 30-60-90 triangle is x : x√3 : 2x
x →shortest leg which is opposite ot 30°
∵ x = AD = 20
x√3 → longest leg which is opposite to 60°
x√3 ( AB) = 20*1.732
AB = 34.64
Area of rectangle = length * width
= 34.64 *20
= 692.8
≈ 693 square units
Answer:
Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....