Line a and line c are parallel lines that are given as a || c. Then the correct option is C.
<h3>How are parallel straight lines related?</h3>
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Then we have
The distance between line a and line c is constant. Then line a and line c are parallel lines.
Line a || line c. Then the correct option is C.
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45 + 2 × [ (45 × 60) + 25]
45 + 2 × 2700 + 25
70 + 5400
5470
<h3>Answer:</h3><h3>Exact volume =
32pi</h3><h3>Approximate volume =
100.48</h3>
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
===============================================
Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14
a) We kindly invite to check the image attached below to see a detailed graph of the <em>piecewise</em> function.
b) The <em>piecewise</em> function is continuous.
<h3>How to understand a piecewise function</h3>
A <em>piecewise</em> function is a <em>conditional</em> combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.
a) The <em>piecewise</em> function described in the question is plotted on a graphing tool (i.e. <em>Desmos</em>), whose result is presented in the image attached below.
b) A function is <em>continuous</em> if and only if there is one value from range for every value of domain. The <em>piecewise</em> function is continuous as <em>linear</em> functions are continuous and the two functions of the <em>conditional</em> combination have the same value for x = 30.
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Answer:
- C. Consecutive interior angles are supplementary
Step-by-step explanation:
Andrew calculated it correctly
Angles 110 and x are supplementary as consecutive interior angles
- 110 + x = 180
- x = 180 - 110
- x = 70
Correct choice is C
