Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
---------------------------------------------------------------
∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR =
=
= 48°
Answer:
4) -3
Step-by-step explanation:
Answer:
It would take 4 men 37 hrs and 12 mins to complete the same task.
step-by-step explanation:
Let X be the time the four men would use to complete the task.
From the question, 6 men completed a task in 24 hrs and 48 mins
But

Using ratio and proportion


if more, less divides and if less, more divides.
4 men required more time to complete the task
Hence:


x = 37 hrs 12 mins
Just multiply every side by 4