One bag holds 12 bolts.Several bags filled with bolts are packed into a box and shipped to the factory. The box contains a total
1 answer:
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Start with a line segment connecting two points, A and B. means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.
But with , or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.
Finally, , so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.
Now let be the length of AB. Then the length of CD in terms of
is
. We have the coordinates of C and D, and the distance between them is
. So
The slope of the line through C and D is
and so the equation of the line through these points is
So the coordinates of A are . The distance between C and A is
, so we have
Since A falls to the right of C (in the plane, not just in the sketch), we know to take the positive value
. Then the
coordinate is
.
All this to say that A is the point (1, 3), so
Answer:
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
--- angle on a straight line
Collect like terms
Divide both sides by 3