Answer:
Step-by-step explanation:
Given:
Sam takes x minutes yo walk from home to library.
And takes 5 minutes more to walk from the library to school than from home to the library.
Express the total time taken for Sam to walk from home to school via the library in terms of x.
<u>Solution:</u>
Time taken by Sam to walk from home to library = 
Time taken by Sam to walk from library to school = 
Total time taken by Sam to walk from home to school via the library = Time taken to walk from home to library + Time taken to walk from library to school
Total time taken = 
Therefore, the total time taken for Sam to walk from home to school via the library is
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)
Answer:
75.398223
Step-by-step explanation:
Circumference Formula: 2πr or dπ ⇒ r=radius and d=diamater
1.) π≈3.14
2.) 24×3.14=75.36
Answer:
11 songs
Step-by-step explanation:
first you would multiply 1.80 by 3 which is 5.4
next you would subtract 12.0 by 5.4 and get 6.6
then you would divide 6.6 by .60 to get 11
The side length has to be between 2 (=9-7) and 16 (=9+7). In both these corner cases the triangle will have collapsed to a line.
So the correct answers are B,C,D and E, and F is a corner case. Theoretically I suppose you have to count F in as a valid answer.
