If the length of AO is double the length of CO, the length of BO is?
1 answer:
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
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Answer:
(1, -2) Option A in your list of possible answers
See attached image.
Step-by-step explanation:
We need to graph the lines by using a couple of points on the plane for each equation.
For example:
the points (0, -3) and (3, 0) for the line y = x - 3
and the points (0, 1) and (-1, 4) for the line y = - 3 x + 1
Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.
