First, find the ratio between the two polygons. Lets take segment MG and TV since they are congruent. MG is 4, TV is 3. The ratio of MG to TV is 4:3. We can write it as 4/3. Since other arts are congruent as well, then NK is congruent to PR, and has a ratio of 4:3. This means that (3x-2)/(x+4) is equal to 4/3. Now solve for x
(3x-2)/(x+4)=4/3
3(3x-2)=4(x+4) ---cross multiply
9x-6=4x+16
9x-4x-6=4x-4x+16 ---subtract 4x from both sides
5x-6=16
5x-6+6=16+6 ---add 6 on both sides
5x=22
5x/5=22/5 ---divide 5 on both sides
x=22/5
Answer:
D) 11/12
Step-by-step explanation:
From 1 to 12, 6 numbers are odd (1, 3, 5, 7, 9, and 11).
7 numbers are non-prime (1, 4, 6, 8, 9, 10, and 12).
2 numbers are both odd and non-prime (1 and 9).
Therefore, the probability is:
(6 + 7 − 2) / 12 = 11/12
Answer:
5
Step-by-step explanation:
The inverse of 
is 
.
since 
.
Note: In general, the inverse of 
is 
.
Step-by-step explanation:
y2 = y , x2 = 5
y1 = 2 , x1 = 3
-4 = y-2 ==> y = -2
