1. 29.16
2. 3.5
3. a=0.32
4. 2/15
5. d= 23.33333333 ( am assuming this is a repeating decimal)
On a graph, go up 7 units and to the right 2 units from the origin
You need to move your contents e.I. 3,4,5 and your variables e.I.2x, 5y, 2z first
Answer:
1. c
2. b
3. c
4. a
5. b
6. c
7. c
Step-by-step explanation:
1. to check the congrency normally distance formula is used. if the distances/ length are equal we say that sides are congurent.
2. if the slope of two lines are equal then both the lines are parallel. if the product of the slopes of two lines equal to one then lines will be perpendicular.
3. diagonals bisect or not can be checked by using midpoint formula.
4. equilateral triangle if the distance of each side is equal so, distance formula can be used.
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
____________________________
Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)