Answer:
84°
Step-by-step explanation:
Solve for n. Note that the angle measurements of a circle will equal 360°. Set all the angles = 360°.
7n + 12 + 13n - 16 + 6n = 360
Combine like terms:
(7n + 13n + 6n) + (12 - 16) = 360
26n - 4 = 360
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. First, add 4 to both sides:
26n -4 (+4) = 360 (+4)
26n = 360 + 4
26n = 364
Next, divide 26 from both sides:
(26n)/26 = (364)/26
n = 364/26
n = 14
Next, plug in 14 for n in the angle measurement, 6n:
6n = 6(14) = 84°
Note that these are central angles, which means that the arc's will be the same measurement as the angle's measurement.
arcBC = 84°
84° is your answer.
~
Check the picture below.
so the shape is really 4 triangles with a base of 2 and a height of 4 each, and 2 squares tha are 4x4.
Answer:
As a decimal it can be written as 7.3 repeated
Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function
Use the distributive property to multiply the expression
For a function of the form the x coordinate of the vertex is:
Then in this case the coordinate of the vertex is:
To obtain the y coordinate of the vertex we evaluate the function at
Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for and
The correct answers are:
Second option
Third option
Fourth option
7.
7 squared gives 49, and it is a prime number.