Answer:
Step-by-step explanation:
ax+d=bx+e
ax-bx=e- d
(a-b)x = e - d
1) case : a - b = 0
*) e - d = 0 : 0x = 0 all reals solution
**) e - d ≠ 0 no solution in R
2) case : a - b ≠ 0 single solutio : x = (e-d)/(a-b)
Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property
Reason 6: SAS Congruence Theorem
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Further Explanation:
AB || CD is true because we have a parallelogram. The opposite sides of any parallelogram are parallel.
Angle ABD = Angle CDB by the alternate interior angles theorem which basically says that if you have a pair of parallel lines, and alternate interior angles generated from a transversal, then those alternate interior angles are congruent. As you can see reason 4, depends heavily on reason 3
DB = DB is a trivial yet important statement. Its needed for SAS in line 6. This is using the reflexive property which says that any segment is congruent to itself
Triangle ABD is congruent to triangle CDB by the SAS (side angle side) triangle congruent property. This is using reasons 2, 4, and 5
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be .
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are and .
The ratio of is .
The reason why it ideally should be and not is because the question states , which mentions first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
f -----> the number of pounds of fertilizer
s ----> the number of pounds of seeds
we know that
The inequality that represent the situation is
using a graphing tool
see the attached figure
The solution is the triangular shaded area