The correct option is option B.
The common difference between given data is -3/4.
<h3>What is Sequence?</h3>
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Here, given points;
x₁ = 1 , x₂ = 2 and y₁ = -3.75 , y₂ = -4.5
Now,
d = (y₂ - y₁)/(x₂-x₁)
d = (-4.5 - (-3.75))/(2 - 1)
d = -0.75 / 1
d = - 75/100
d = -3/4
Thus, The correct option is option B. The common difference between given data is -3/4.
Learn more about Sequence from:
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Answer:
a^2 + b^2= c^2
Step-by-step explanation:
C is the long part of the triangle and a and b are the legs
Answer:
A. x = 5 (Equation below)
B. AC = 9 | BD = 9
Step-by-step explanation:
A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:
2x - 8 + x - 4 = x + 2
3x - 12 = x + 2
3x = x + 14
2x = 14
x = 7
B. Just plug in 5 for x:
AC = x + 2 = 7 + 2 = 9
BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9
