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hjlf
3 years ago
6

Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he r

ented the same boat for five hours and it cost him $190 more than it di the day before. If he rented the same boat on Monday for just two hours, find the total cost to rent the boat for three days.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

There is a flat fee involved, which is the y-intercept of the line.

The line eats the points:

(3, 435)

    and

(5, 625)  

the slope is 190/2 = 95

B = y - mx = 435 - (95)(3)

                 = 435 - 285

                 =  150

The linear function is:

y = 95x + 150

So for x=2, it will cost

95(2) + 150 = 190 + 150 = 340

435 + 625 + 340 =  1400

Step-by-step explanation:

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We can see that the values at the top must be made equal to that at the bottom

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Write a two-column proof. Given: line BD bisects angle CBE. Prove: angle ABD approximately equal to angle FBD.
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Answer:

The proof is derived from the summarily following equations;

∠FBE + ∠EBD = ∠CBA + ∠CBD

∠FBE + ∠EBD = ∠FBD

∠CBA + ∠CBD = ∠ABD

Therefore;

∠ABD ≅ ∠FBD

Step-by-step explanation:

The two column proof is given as follows;

Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

Therefore;

∠EBD ≅ ∠CBD  {}                              Definition of angle bisector

∠FBE ≅ ∠CBA {}                                Vertically opposite angles are congruent

Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD {}     Transitive property

∠FBE + ∠EBD = ∠FBD {}                    Angle addition postulate

∠CBA + ∠CBD = ∠ABD {}                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        {}                          Transitive property.

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