3/4z - 1/4z + 3 = 2/4z + 5
3/4z - 1/4z - 2/4z = 5 - 3
2/4z - 2/4z = 2
0 ≠ 2
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<span>It has no solution.</span>
Answer:
Step-by-step explanation:
10 on the y axis and 5 on the x axis
9514 1404 393
Answer:
E
Step-by-step explanation:
A. The ⊥ symbol means "is perpendicular to". The two lines l1 and l2 are parallel, not perpendicular.
B. Angles g and f are vertical angles. They are congruent. If both are 45°, then they are complementary, but we cannot assume that is the case. They are shown as obtuse angles.
C. Angles e and h are vertical angles. They are congruent. If both are 45°, then they are complementary, but we cannot assume that is the case. They are shown as acute angles, but with no particular angle measure.
D. Angle d is shown as an acute angle. In general, we cannot assume its measure based on its appearance in the diagram.
E. Angles d and g are shown as, respectively, an acute angle and an obtuse angle. Where a transversal crosses parallel lines, all acute angles are supplementary to all obtuse angles. Hence the sum of angles d and g will be 180 degrees. This statement is true.
F. Angles c and f are congruent angles, shown as obtuse. Their sum will be 270° if and only if their measures are each 135°. There is no indication in the diagram that the angles have any particular measure, so we cannot assume their sum is 270°.
9514 1404 393
Answer:
9 units
Step-by-step explanation:
The top base has a length that is the difference between the x-coordinates of points A and B:
0 -(-11) = 11
The bottom base has a length that is the difference between the x-coordinates of points C and D:
-1 -(-8) = 7
The mid-segment has a length that is the average of the base lengths:
(11 +7)/2 = 18/2= 9 . . . units; midsegment length
C(1)=6
c(2)=c(2-1)-16=c(1)-16=6-16=-10
c(3)=c(3-1)-16=c(2)-16=-10-16=-26