What we know is that the sum of a triangle's internal angles are 180º, and a straight angle makes 180º.
first, we have to find the third internal angle(let's call it n) so that we can use it to find the exterior angle.
(3x + 20) + (4x + 5) + n = 180
simplify:
7x + 25 + n = 180
7x + n = 155
n = 155 - 7x
Now we can add it to the external angle to find x.
(155 - 7x) + (8x + 15) = 180
simplify:
170 + 8x - 7x = 180
170 + x = 180
x = 10
Now we can substitute it to the external angle.
8 x 10 + 15 = 95
the exterior angle is 95º.
Answer:
a. 0
Step-by-step explanation:
1. To find the slope given two points, use the following formula:
2. 
would be the second y-value (in the second ordered pair), 2, and 
would be the first y-value (in the first ordered pair), also 2.
3. Same for the x-values. 
is -2 and 
is 4
4. Now plug in the values.
5. This equals 
which simplifies to 0
Answer:
The value of k is -7
Step-by-step explanation:
We are given the graph of f(x) and g(x). If g(x)=f(x)+k
If we shift f(x) k unit vertical get g(x).
If k>0 then shift up
If k<0 then shift down.
f(x) and g(x) are both parabola curve.
First we find the vertex of f(x) and g(x)
Vertex of f(x) = (3,1)
Vertex of g(x) = (3,-6)
We can see change in y co-ordinate only.
f(x) shift 7 unit down to get g(x)
g(x)=f(x)-7
Therefore, The value of k is -7
Answer:
35 (C)
Step-by-step explanation:
