Opposite sides of a parallelogram are congruent.
3x+ 2= 4x-3
Subtract 3x from both sides
2= x -3
Add 3 to both sides
5= x
2y+7=4y-9
Subtract 2y from both sides
7= 2y -9
Add 9 to both sides
16 = 2y
Divide by 2 on both sides
8 = y
Look at the corresponding angle to 82, which is to the left of line b
It also measures 82 according to "corresponding angle theorem"
Then
angle x is equal to it as they are vertical pair of angle
so that, the measure of x equals 82 degree
I hope that helps
Answer:
a simple random sampling.
Population is all the customers of the electronics chain store.
Step-by-step explanation:
Given that the marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.
Here since these 100 customers are selected at random no groups or partitions were made.
So this cannot be stratified or cluster. Systematic sampling is done with a pre plan and here it is not mentioned. Convenience sampling is to save time the first customers or at a particular place selected. Here it is not
So this is nothing but a simple random sampling.
Population is all the customers of the electronics chain store.
Answer: 31.80
Step-by-step explanation:
First you divide 26.50 by 0.20 to get 5.3 then you add that to the starting total and you get your answer which is
Answer is: B
Step-by-step explanation: correct answer is B
b
2
−a
2
Given, acotθ+bcscθ=p
bcotθ+acscθ=q
⇒p
2
−q
2
=(p−q)(p+q)
=[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]
=[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]
=(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)
=(a
2
−b
2
)(cot
2
θ−csc
2
θ)
=(−1)(a
2
−b
2
)[∵csc
2
θ−cot
2
θ=1]
=(b
2
−a
2
)