Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Step-by-step explanation:
Mean of the origibal set = 20
No. of terms = 10
Sum = Mean x No. of terms
= 20 x 10 = 200
The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220
New Sum = 200 + 220 = 420
The no of terms stay the same
New Mean = New Sum/ N
= 420/10
= 42
Answer:
2
Step-by-step explanation:
Answer:
0.706
Step-by-step explanation:
Convert 12/17 to decimal by dividing the numerator by denominator.
12 ÷ 17 = 0.70588.......
The nearest thousandth is the third decimal place.
If we round up: 0.706
If we round down: 0.705
Because the fourth digit is "8", we round up.
If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..
12 ÷ 17 = 0.70588....... ≈ 0.706
Answer:
y = 65°
Step-by-step explanation:
z = 70° (corresponding angels are equal)
y + z = 135° (exterior angle theorem of a triangle)
y + 70 = 135 (substitution)
Subtract 70 from each side
y + 70 - 70 = 135 - 70
y = 65
