Answer:
Step-by-step explanation: C
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
In the given graph, the boundary line passes through the points (-3,3) and (0,1).
So, the equation of the boundary line is:




Adding 3 on both sides, we get


The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be
and the required inequality is:

Therefore, the correct option is B.
The mathematical expression that represents the given statement is 4/(7-x)
<h3>Writing an Expression </h3>
From the question, we are to write a mathematical expression for the given statement
The given statement is
"4 is divided by the difference of 7 and a number."
First,
Let the number be x
"the difference of 7 and a number" means
7 - x
Thus,
"4 is divided by the difference of 7 and a number" is
4/(7-x)
Hence, the mathematical expression that represents the given statement is 4/(7-x)
Learn more on Writing and Expression here: brainly.com/question/4681624
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Answer:
reflex ∠AOC = 278°
Step-by-step explanation:
You need to know a couple of things to solve this problem:
- the total number of degrees in a circle is 360°
- the measure of an inscribed angle is half the measure of the central angle that subtends the same arc
- the measure of an arc and its central angle are the same.
The second of these means short arc AC is 2×41° = 82°.
The first of these means long arc ABC is 360° -82° = 278°. The central reflex angle AOC subtends the same arc, so has the same measure:
reflex ∠AOC = 278°
2(c+7)=2c+14
Use distributive property
2*c +2*7
2c+14=2c+14
Hope it helps!