x = 5.4
∠2 ≅ ∠ because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠ by the Vertical Angles Theorem.
1 answer:
*see diagram in the attachement below
Answer:
∠2 ≅ ∠6 because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠8 by the Vertical Angles Theorem.
Step-by-step explanation:
We are required to find the angle that is congruent to <2 and the angle that is congruent to <5.
Already, we are given the reasons to justify the answers we get.
Thus:
<2 has matching corner as <6. Hence they are corresponding angles
<5 and <8 are vertical angles having the same vertex and are directly opposite each other. Therefore, based on the vertical angles theorem, <5 ≅ <8
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x = 5.4
Given:
Number of trips = 7
Distance from the school to the museum = 36 miles.
To find:
Write and solve equations to find how many miles the bus driver drove for the 7 trips.
Solution:
Let x be the number of trips and y be the total number of miles the bus driver drove.
Distance from the school to the museum = 36 miles.
1 trip means from the school to the museum and then from the museum to the school.
Distance covered in 1 trip = 2×36 = 72 miles.
Distance covered in x trips = 72x miles.
Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.
Therefore, the bus driver drove 504 miles for the 7 trips.