Answer:
Step-by-step explanation:
Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
Answer:
96
Step-by-step explanation:
commom difference = d
a₆ + a₇ = 16
a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16
a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16
Similarly,
a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16
so
a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96
3×2=692047 82837=284749×2484r133.e9274