Answer:
∠A = ∠C = 60°
∠B = ∠D = 120°
Step-by-step explanation:
In quad. DPBQ, by angle sum property we have
∠PDQ + ∠DPB + ∠B + ∠BQD = 360°
60° + 90° + ∠B + 90° = 360°
∠B = 360° – 240°
Therefore, ∠B = 120°
But ∠B = ∠D = 120° opposite angles of parallelogram
As, AB || CD opposite sides of a parallelogram
∠B + ∠C = 180° sum of adjacent interior angles is 180°
120° + ∠C = 180°
∠C = 180° – 120° = 60°
Hence ∠A = ∠C = 60° Opposite angles of parallelogram are equal
Answer:
LCD = 48 so its D. 16
Equivalent Fractions with the LCD
2/3 = 32/48
1/16 = 3/48
1/8 = 6/48
Step-by-step explanation:
Rewriting input as fractions if necessary:
2/3, 1/16, 1/8
For the denominators (3, 16, 8) the least common multiple (LCM) is 48.
LCM(3, 16, 8)
Therefore, the least common denominator (LCD) is 48.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
2/3 = 2/3 × 16/16 = 32/48
1/16 = 1/16 × 3/3 = 3/48
1/8 = 1/8 × 6/6 = 6/48
156 is 260% of 60.
I hope this helps! :)
Answer:
x=2, y=3
Step-by-step explanation:
y = 3
3x-y =3
Substitute y =3 into the second equation
3x -3 =3
Add 3 to each side
3x-3+3 = 3+3
3x=6
Divide by 3
3x/3 = 6/3
x =2
Answer: The missing answer is 16.
Step-by-step explanation: y=4x