Stage 1: Cartesian Plane INFORMATION: A Cartesian Plane is used for sketching Graphs as well as to perform transformations. 1.1
1 answer:
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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
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∠ 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:
log(5/4)
Step-by-step explanation:
You have to apply the properties of logarithms to the given expression in order to obtain a form with a single logarithm.
For example, the quotient rule:
In this case, log(x) = log (5/6 ) and log(y)= log (2/3)
Therefore x = 5/6 and y = 2/3
Applying the rule:
log (5/6 )− log (2/3) =
Solving the argument of the logarithm (The division of the fractions)
The equivalent form is:
log(5/4)
Solving for X we get:
Solving for Y, we get:
Solving for Y, we get: