Simplify: (m – 3n)2
2 answers:
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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.
Answer:
(3,4)
Step-by-step explanation:
first you're going to solve the equation -2x
your equation should now be:
next you're going to substitute the given value of -2x into the equation
so your equation should now be:
next you're going to solve the equation for y
equation should now be: y=4
than you're going to substitute the given value of y into the equation ×
then you're going to solve the equation for x
your equation should now be: x=3
then the possible solution of the system is the order pair: (x,y)=(3,4)