Answer:
A: 180° B: 360° C: 540°
Step-by-step explanation:
A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.
B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into <u>two triangles</u> we have to do: 180x2 which is 360°.
C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.
Answer:
nth term = 1 + n(13/4)
Step-by-step explanation:
3n + n/4 + 1
n = 1, 3(1) + (1)/4 + 1 = 4 + ¼ = 17/4
n = 2, 3(2) + (2)/4 + 1 = 7 + ½ = 30/4
n = 3, 3(3) + (3)/4 + 1 = 10 + ¾ = 43/4
n = 4, 3(4) + (4)/4 + 1 = 14 = 56/4
The difference between consecutive terms is 13/4
At n = 1, 17/4 = 1 + 1(13/4)
At n = 2, 30/4 = 1 + 2(13/4)
nth term = 1 + n(13/4)
Answer:
D is wrong its C
Step-by-step explanation:
I just took the test and c was wrong its D and if its neither let me know.
The solution of cos θ = −0.3 is θ = 107.45760312 degrees
<em><u>Solution:</u></em>
Given that we have to find the primary solution of 
To solve this equation, you must find the unknown (theta)
Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta
We know that arccos (-0.3) = 107.45760312 degrees
[ If you reference a unit circle or use a calculator ]
Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees
Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
