<h3><u>Answer</u>:- </h3>
<h3><u>Solution:-</u></h3>
<u>Given </u><u>that </u><u>:</u><u>-</u>
- job last for h hours
- Cost of job lasting more than 1 hour = $30
- Cost for the first hour = $75
Remaining hours for which the job will last after first hour= (h-1)
<u>Therefore</u>,
Cost for subsequent hours = 30×(h-1)
= 30(h-1)
Total Cost for job = Cost for 1st hour + Cost for subsequent hours
Answer:
<h2>y = 3.5x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<h3>y = mx + b</h3>
m - slope
b - y-intercept
We have y-intercept b = -2. Substitute:
<h3>y = mx - 2</h3>
We have the point (4, 12) → x = 4, y = 12. Put them in the equation:
12 = 4m - 2 <em>add 2 to both sides</em>
14 = 4m <em>divide both sides by 4</em>
14/4 = m → m = 3.5
Answer:
The triangles are congruent
Step-by-step explanation:
The Triangles are congruent because they have the same side lengths and and angle measures.
We are to find the Probability the someone buys a book that is paperback and fiction.
Let P(F) represents the event that the book is fiction and P(P) represents the event that the book is paperback. We are to find P(F∩P)
P(F∩P) = P(F) x P(P)
From the tree diagram we can see that:
P(F) = 0.45
P(P) = 0.65
Using the values, we get:
P(F∩P) = 0.45 x 0.65 = 0.2925
So, the Probability the someone buys a book that is paperback and fiction is 0.2925.
So, option B gives the correct answer
Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.
<h3>What are supplementary angles?</h3>
Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,
30° + ∠y + 30° = 180°
60° + ∠y = 180°
∠y = 180° - 60° = 120°
Hence, the measure of the ∠y is 120°.
Learn more about Supplementary Angles:
brainly.com/question/2882938
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