Answer: - 16n - 31
Step-by-step explanation:
4 - 16n - 35
Answer:
274.32 or 274 if being rounded
Step-by-step explanation:
Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
From the figure shown where MN is parallel to PQ:
m<MSR = 100°
m<STQ = 80°
By carefully observing the figure shown:
<MSR is vertically opposite to <NST
Vertically opposite angles are equal
m<NST = (17x + 15)
<NST is alternative to <PTS
Alternative angles are equal
Therefore, m<NST = m<PTS
m<NST = 17x + 15
m<PTS = 19x + 5
17x + 15 = 19x + 5
19x - 17x = 15 - 5
2x = 10
x = 10/2
x = 5
m<NST = 17x + 15
m<NST = 17(5) + 15
m<NST = 100°
Since m<MSR = m<NST
m<MSR = 100°
m<PTS = 19x + 5
m<PTS = 19(5) + 5
m<PTS = 100°
m<PTS + m<STQ = 180° (Sum of angles on a straight line)
100 + m<STQ = 180
m<STQ = 180 - 100
m<STQ = 80°
From the figure shown where MN is parallel to PQ:
m<MSR = 100°
m<STQ = 80°
Learn more here: brainly.com/question/25022812
