It seems that "d" or the common difference is a number that makes the sequence go into the larger positive realm of numbers. Therefore, 2*(7+30d)=7+80d. d=35/100. Now just do 7 + 40(35/100) = 21. 21 is your answer!
LMN is a right triangle, true.
Answer:
Attached below is the missing figure
answer : ∠ABD = ∠AbC + ∠ CbD
Step-by-step explanation:
when Line BC is drawn to divide ∠ABD equally
solving each angle :
∠ABD > ∠AbC also angle
∠ABD > ∠ CbD
∴ ∠ABD = ∠AbC + ∠ CbD
assuming ∠B = 60°
therefore ∠b = 60 / 30 = 30°
Answer:
Width = 86 feet
Step-by-step explanation:
Create two equations with the info:
L = 27 + W
where L represents the length and W the width of the backyard.
The other one is about the area of the rectangular backyard:
Area = L x W
where you replace the area with 9718 and the length (L) with (27 + W):
and solve for W using the quadratic equation:
This gives us two solutions:
W = - 113
and W = 86
We use the positive solution since this is a distance.
Therefore the width is: 86 feet