Answer: x = 120 degrees
Step-by-step explanation:
The diagram is that of a polygon with 5 sides. This means that it is a Pentagon. The sum of the interior angles in a polygon is expressed as
180(n -2)
Where n represents the number of sides that the polygon has.
Since the given polygon has 5 sides, then the sum of the interior angles would be
180(5 - 2) = 180 × 3 = 540 degrees.
Therefore,
x + x + x + 90 + 90 = 540
3x + 180 = 540
3x = 540 - 180 = 360
x = 360/3 = 120 degrees
Answer:
angle 16
Step-by-step explanation:
30% times 450 = 135
450 - 135 = 315
The leather jacket will now cost her $315.00. This discount is called a sale. Brainliest please? It would be greatly appreciated! =D
Answer:
B) -350
Step-by-step explanation:
We are given the sequence:
-56, -59, -62, -65...
And we want to determine its 99th term.
First, note that we have an arithmetic sequence. This is because each subsequent term differs from the previous term by a common difference.
In this case, each subsequent term is 3 less than the previous term, so our common difference <em>d</em> is -3.
To find the 99th term, we can write an explicit formula. The explicit formula for an arithmetic sequence is:
![x_n=a+d(n-1)](https://tex.z-dn.net/?f=x_n%3Da%2Bd%28n-1%29)
Where <em>x_n</em> represents the <em>n</em>th term, <em>a</em> is the initial term, and <em>d </em>is the common difference.
Since the first term is -56, <em>a </em>= -56.
By substitution, we acquire:
![x_n=-56-3(n-1)](https://tex.z-dn.net/?f=x_n%3D-56-3%28n-1%29)
The 99th term is when <em>n</em> = 99. Thus:
![x_{99}=-56-3(99-1)](https://tex.z-dn.net/?f=x_%7B99%7D%3D-56-3%2899-1%29)
Evaluate:
![x_{99}=-56-3(98)=-56-294=-350](https://tex.z-dn.net/?f=x_%7B99%7D%3D-56-3%2898%29%3D-56-294%3D-350)
Our answer is B.
The general equation for a circle is as follows
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where (h,k) represents the coordinates of the center of the circle and r is its radius.
Knowing this, we simply identify each part from the given circle:
![h=-2](https://tex.z-dn.net/?f=h%3D-2)
![y=4](https://tex.z-dn.net/?f=y%3D4)
![r=\sqrt[]{43}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B43%7D)
With all this, we can say the circle's center is at the point (-2,4) and it has a radius of lenght √43.
Thus, option B is correct.