Answer:
Option C.
Step-by-step explanation:
Note : In the given points one point is (8,-2) instead of (-6,-2).
The standard form of a circle is
where, (h,k) is center of circle and r is radius.
It is given that center of the circle is (-1,-2). So,
...(1)
It is given that the circle passing through the point (8,-2),(-1,5),(6,-2),(-1,-9).
Substitute x=6 and y=-2 in equation (1).
Substitute
in equation (1).
Therefore, the correct option is C.
It’s 140 degrees. The angles are congruent from their pair.
<span>1. </span><span>Jared earns 0.25 vacation days
for every week
=> He also gets 10 paids company holidays
Now, write a verbal model and algebraic expression that will represents to get
the total amount of holidays will Jared gets.
=>0.25 holidays for every week
=> 0.25 (w) , where w represents the number of weeks I a years
=> 10 paid company holidays
so the expression would be:
=> 0.25w + 10
0.25 will be multiplied by the number of weeks in a year, then added with 10
</span>
Answer:
z = 68º
Step-by-step explanation:
40º + 57º = 97º
180º - 97º = 83º
83º + 29º + z = 180º
112º + z = 180º
z = 180º - 112º
z = 68º
Answer:
C. 510 cm^2
Step-by-step explanation:
Well to find TSA or Total Surface Area,
We need to find the area of al the triangles and rectangles.
Let's start with the 2 rectangles facing forwards.
They both have dimensions of 5*15 and 12*15,
75 + 180
= 255 cm ^2
Now let's do the back rectangle which has dimensions of 15 and 13.
15*13 = 195 cm^2
Now we can do the top and bottom triangles,
Since we don't have height we can use the following formula,

S is 
S= 15
Now with s we can plug that in,

The a b and c are the sides of the triangle.
So let's solve,
15 - 5 = 10
15 - 13 = 2
15 - 12 = 3
10*2*3 = 60
60*15 = 900
= 30 cm^2
Since there is 2 triangles with the same dimensions their areas combined is 60 cm^2
60 + 255 + 195 = <u><em>510 cm^2</em></u>
<em>Thus,</em>
<em>the TSA of the right triangular prism is C. 510 cm^2.</em>
<em>Hope this helps :)</em>