Solution:
In Parallelogram B CDE
BC= DE, BC ║DE
CD = BE , CD ║BE
Also, ∠B=∠D and ∠C=∠E →→In a parallelogram opposite sides are equal and parallel, as well as opposite angles are equal.Diagonals Bisect each other.
∠B= 60° , ∠C ED= 40°
CE is a transversal and BC║DE.
∠CED=∠BCE = 40° →→Alternate interior angles
In Δ BCE
∠B + ∠BCE + ∠BEC= 180°→→→Angle sum property of Triangle.
60° + 40° + ∠ B E C= 180°
100° + ∠BEC=180°
∠BEC= 180° -100°
∠BEC= 80°
Area of a trapezoid
1/2(a+b)(h) where a and b are the parallel sides and h is the height.
a = 12.9, b = 8.6, h = 6.4
A = 1/2(12.9 + 8.6)(6.4) = 68.8 cm²
Answer:
12
Step-by-step explanation:
12 dimes is $1.20, so your total for the quarters is $3.25. Since there are 25 coins total and 12 of them are dimes, 25 - 12 = 13, so you have 13 quarters. 13 times its value of 25 cents leaves you with $3.25, fulfilling your needed total.
There likely was an easier way to do this, but I'm unfamiliar with it so I ended up doing this.