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storchak [24]
3 years ago
10

The diagram shows several planes, lines, and points. Which statement is true about line h? Line h intersects line f at two point

s, A and B. Line h is the intersection of planes R and T. Line h intersects plane P at point C. Line h has points on planes R, P, and T.
Mathematics
2 answers:
sasho [114]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Did the test

Dafna11 [192]3 years ago
4 0

Answer:

According with the diagram and using the definitions of planes, lines, and points, the statement true about line h is:

d. Line h has points on planes R, P, and T.

Solution:

a. Line h intersects line f at point B, the the statement a. is false.

b. Line h is on plane R, but is not in the intersection of two planes. Line g is in the intersection of planes R and T,, then statement b. is false.

c. Line l intersects plane P at point C, then statement c. is false.

d. Line h has points on planes R, P, and T, then statement d. is true.

Step-by-step explanation:

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The total distance traveled is 4 km, which is equal to 4000 meters. This is equal to the area under the graph, so 400T-\frac{1}{2}(100-V)(5T)=4000.

400(100-4T)-\frac{1}{2}(4T)(5T)=4000\\\\40000-1600T-10T^2=4000\\\\10T^2 +1600T-36000=0\\\\T^2 +160T-3600=0\\\\(T+180)(T-20)=0\\\\T=20 (T > 0)\\\\\therefore V=100-4(20)=20

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