Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
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<em>Additional comment</em>
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
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-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
C!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answer in this question is B The diagonals of the parallelogram are congruent because that's only possible for right angle quadrilaterals. We can say that the diagonals of the parallelogram are congruent. The diagonals of this figures have the same size and shape.
