Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
Triangles CDF and FDE are similar
therefore
The ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Part 2) Find the length of DE
substitute the value of x
Answer:
#6 = 1; #7 = A (5 gallons)
Step-by-step explanation:
#6 it is 1 because you are suppose to divide 10% of 50 which gave yuu $5 and then divide 5 by 20% which is 1
Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2
Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4
The values of interest are
.. x = 14
.. y = 15
Answer:
5C 6D
Step-by-step explanation:
5, a^2 = b^2 + c^2
6,
A is wrong because two distinct lines intersect at 1 point only or 0 (they will never intersect when they are parallel)
B & C are wrong because lines contain infinite point
E is wrong because 2 parallel lines will never intersect, as the result, their common points = 0
Answer:97
97
Step-by-step explanation:
