The correct answer is: x = 8 (Option D)
Explanation:
Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).
It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,
BC = 20
FE = 3x - 4
Since,
BC = FE (By using congruence statement mentioned above)
20 = 3x - 4
3x = 20+4
3x = 24
x = 8
Hence the correct answer is: x = 8
To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.
Factors of 8: (1, 8), (2, 4)
1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the
term at the front of the trinomial), we find the binomials:
and 
The answer is x + 2 and x + 4.
8hrs = 480mins
6hrs = 360 mins
472/480 = 0.983...
0.983... x 360 = 354
D) 354
9514 1404 393
Answer:
d. x-axis
Step-by-step explanation:
Consider a point on curve P and its (nearest) image on curve P'. The midpoint between those points is on the line of reflection. That line is the x-axis.
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<em>Additional comment</em>
The curve is symmetrical about the y-axis, so each point on P also has an image point that is its reflection across the origin. The reflection of P could be across both the x- and y-axes, or (equivalently) across the origin. We don't know the meaning of "xy-axis", so we suspect that is a red herring. The best choice here is "x-axis."