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lora16 [44]
2 years ago
5

A lawyer charges a $75 consultation fee and then $120 per hour thereafter.

Mathematics
1 answer:
Ainat [17]2 years ago
3 0

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.

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1. Remember what we know about vertical angles and solve for x. (SHOW WORK)
marusya05 [52]

Answer:

Ans 1. x= 7

Ans 2.a.

\overline {AC} \cong \overline {JL} \\\textrm{is the additional information required to prove the triangles are congruent by SAS postulate}

Ans.2.b.

\overline {BC} \cong \overline {KL} \\\textrm{is the additional information required to prove the triangles are congruent by the HL theorem}

Step-by-step explanation:

Solution:

1.

Vertically opposite angles are equal.

\therefore (x+16) = (4x-5)\\\therefore (4x-x) = (16+5)\\\therefore (3x) = (21)\\\therefore x = 7

2.a.

proof for Δ BAC ≅ ΔKJL by SAS postulate.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{AC} \cong \overline{JL}\ \textrm{additional information require to prove the tangles are congruent by SAS postulate}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Side-Angle-Side postulate...PROVED}

2.b.

proof for Δ BAC ≅ ΔKJL by HL theorem.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{BC} \cong \overline{KL}\ \textrm{additional information require to prove the tangles are congruent by HL theorem}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Hypotenuse Leg Theorem......PROVED}

5 0
3 years ago
Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...}
erma4kov [3.2K]
0.45 times what=0.90?
seems to be 2
for
a_n and a_{n+1}, (1 term and the next)
common ratio=\frac{a_n}{a_{n+1}}
0.45 and 0.9
0.9/0.45=2
common ratio is 2
6 0
3 years ago
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Answer:

356 miles a day nkw help me

8 0
3 years ago
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Please explain the problem attached
borishaifa [10]
<h3>Answer:</h3>

F (3x, 3y)

<h3>Explanation:</h3>

Dilation about the origin multiplies each coordinate by the dilation factor. For some coordinates (x, y), dilation by a factor of 3 means the new coordinates are ...

... 3×(x, y) = (3x, 3y)

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<em>Comment on the problem</em>

The way the problem is worded, you expect an answer choice that will be specific to the coordinates of point A. There are none.

Instead, the answer choices are generic, corresponding to dilation of a point (x, y) by a factor of 3, translation up and to the right by 3, dilation by a factor of 1/3, and translation down and to the left by 3.

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