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:
Step-by-step explanation:
66%
Answer:
x^2 - 3x - 40
Step-by-step explanation:
x = 8 and x = -5
x - 8 = 0 and x + 5 = 0
(x - 8)(x + 5)
x^2 + 5x - 8x - 40
x^2 - 3x - 40
Answer: x^2 - 3x - 40
Answer:
(-1,5)
(3, 1/125)
Step-by-step explanation:
g(x) = (1/5) ^x
Lets check the points
(1,0)
0 = (1/5) ^1
0 = 1/5 False this is not on the graph
(-1,5)
5 = (1/5) ^ -1
Remember negative exponents flip the fraction inside the parentheses
5 = 5/1 True this is on the graph
(3, 1/125)
1/125 = (1/5)^ 3
1/125 = 1^3/ 5^3
1/125 = 1/125 true this is on the graph
(-2,1/25)
1/25 = (1/5) ^-2
Remember negative exponents flip the fraction inside the parentheses
1/25 = 5^2/1^2
1/25 = 25 false this is not on the graph
Hello Nozohonoumi,
Answer:
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