Answer:
Step-by-step explanation:
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Answer: AB ≅ CB
Step-by-step explanation:
In the given figure, we have ∆ABD ≅ ∆CBD
The CPCTC property of congruent triangles says that if two triangles are congruent then their corresponding parts ( angles and segments ) are congruent.
Since we have given that ∆ABD ≅ ∆CBD.
Therefore, the corresponding segments are congruent.
As segment AB is corresponding to segment CB. [First two letters]
Therefore, segment AB is congruent to segment CB.
Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Answer:
r=3
Step-by-step explanation:
Simplify the expression
16-2r=3r+1
isolate r by adding 2r to both sides
16=5r+1
isolate the numbers by subtracting 1 from both sides
15=5r
divide both sides by 5 to completely isolate r
r=3
