luke paid 30 percent less for a used car than its original price of $3,500. how much did luke pay for the car?
2 answers:
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Answer:
Here's what I get.
Step-by-step explanation:
Assume the diagram is like the one below.
Segments AB, BC, and CH are transversals to the sides of the pool table.
BC is also a transversal to AB and CH.
a. Angles we can be sure about
∠ABC — interior opposite angles of transversal BC
∠CBH — interior opposite angles of transversal BC
∠BHC — interior angles of triangle BHC
∠ABK — alternate exterior angles of transversal BC
∠CHG — complementary to ∠CGH
b. Sets of congruent angles
∠ABC ≅ ∠BCH = 66° — interior opposite angles of transversal BC
∠CBH ≅ ∠BCE = 57° — interior opposite angles of transversal BC
∠BHC ≅ ∠GCH = 57° — interior opposite angles of transversal CH
∠ABK ≅ ∠GCH = 57° — alternate exterior angles of transversal BC
One set of congruent angles is {∠ABC, ∠BCH}
Another set is {∠ABK, ∠BCE, ∠BHC, ∠CBH, ∠GCH}
c. Alternate interior angles
Alternate interior angles are a pair of angles on the inner sides of the parallel lines but on opposite sides of the transversal.
The sets of alternate interior angles are {∠ABC, ∠BCH}, {∠ ABC, ∠BCD} {∠BCE, ∠CBH}, {∠CHJ, ∠GCH}
d. Corresponding angles
Corresponding angles are a pair of angles on the same side of parallel lines and on the same side of the transversal.
The diagram has no corresponding angles.
Answer:
The ships are 66 meters apart.
Step-by-step explanation:
For the sake of convenience, let us label ships A and B
As shown in the figure, the distances to the ships from right triangles.
The distance to the ship A is and it is given by
And the distance to the ship B is and is given by
Therefore, the distance between the ships A and B is
In other words, the ships are 66 meters apart.
