Fill in the blank
1 answer:
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Answer:
°
Step-by-step explanation:
The angle shown in the figure is known as an external angle.
Also, <u>in a regular polygon (like the regular octagon) the sum of all the exterior angles is the same regardless of the number of sides of the figure</u>:
°
And to find the measure of a single external angle (such as the angle shown in the figure) we must <u>divide 360 ° by the number of sides n:</u>
and for the regular octagon, since it has 8 sides:
so the value of x is:
°
the measure of angle x is 45° which is the second option
Answer:
1) C
2) C
Step-by-step explanation:
Question 1)
We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).
So, we can use the vertex form. Remember that the vertex form is:
Where a is our leading co-efficient and (h, k) is our vertex.
We know that our vertex is (-8, -7). So, substitute this into the equation:
Simplify:
Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).
So, when x is -7, y is -4. Substitute -7 for x and -4 for y:
Solve for a. Add within the parentheses:
Square:
Add 7 to both sides. Therefore, the value of a is:
So, our entire equation in vertex form is:
Our answer is C.
Question 2)
We are given a graph and are asked to find the equation of the graph.
Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:
Simplify:
Again, we need to find the value of a.
Notice that the graph crosses the point (-1, 5).
So, let's substitute -1 for x and 5 for y. This yields:
Solve for a. Add within the parentheses.
Square:
Subtract 2 from both sides. So, the value of a is:
Therefore, our entire equation is:
Our answer is C.
And we're done!