First calculate the slope by change in y over change in x
it’s -0.334
then find y intercept
-6
so all together
-0.334x-6
Answer:
1. Find < ACB
2. Use that triangles =180 to find <B = 41
Step-by-step explanation:
1.We need to find < ACB
<ACB +<DBC= 180 They make a straight line
Subtract DBC from each side
<ACB = 180 - <DBC
We know DCB = 113
ACB = 180 -113
ACB = 67
2.The three angles of a triangle = 180, so we can then find <B
<A +<B + <ACB = 180
72 + B + 67 = 180
Combine like terms
139+ <B = 180
Subtract 139 from each side
<B = 180-139
<B =41
Let x and y represent the measure of the unknown angles
x+y=145
x-y= 15
2x=160 (Use the elimination. method)
2/2x=160/2
x=80
80° is the measure of one of the unknown angles
x+y=145
80+y=145
-80 -80
y=65
The measure of the second unknown angle is 65°
Thus the measure of the unknown angles are 80° and 65°
Answer:
Option C is correct
Step-by-step explanation:
The common difference is 10,
So, the function is f(n + 1) = f(n) + 10 , where f(1) = 14
The recursive function for the arithmetic sequence is given by:
.....[1]
where d is the common difference of the two consecutive terms.
Given the arithmetic sequence :
14, 24, 34, 44, 54, .......
First term f(1) = 14
Common difference(d) = 10
Since,
24 -14 = 10
34-24 = 10
44-34 = 10 and so on....
Substitute d = 4 in [1], we have;
Therefore, the recursive function used to generate the sequence is,
and f(1) = 10
