Answer:
The value of a is 15.
Step-by-step explanation:
First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :
sum = (n-2)×180°
sum = (5-2)×180°
sum = 540°
Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :
3a + 150 + 8a + 6a + 9a = 540
26a + 150 = 540
26a = 390
a = 390 ÷ 26
a = 15
Answer:
j=6
Step-by-step explanation:
Answer:
288.333333333
Step-by-step explanation:
Me, personally am not great with math, but I can say you have to take $865 then take away $40 then decide how much they get apiece. to do that you must divide 865 from 3. afterwards you should take that number away from 865 remember that you are also taking away 40 then you have your final answer
72 is the answer you are looking for here
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
