Answer:
x = 10
Step-by-step explanation:
Since the triangles are similar the ratios of corresponding sides are equal
= 
, that is
= ( cross- multiply )
20(4x + 2) = 84x
80x + 40 = 84x ( subtract 80x from both sides )
40 = 4x ( divide both sides by 4 )
x = 10
Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
Answer: (c - 3) / 2 = x
Step-by-step explanation:
If c represents the cookies, then you remove 3 because she ate 3 of the cookies. Since half of the remainder of the cookies were given to her friend, you must divide the product of c - 3, by 2. The reason for the parenthesis is so that it overrules PEMDAS, as parenthesis goes before division.
You can do that using +6 and -6 .
(6) · (-6) = - 36
(6) + (-6) = 0
Answer:
-4, -3, -2, -1, 0
Step-by-step:
1st: 1/4(-8) - 2 = -4 = y
2nd: 1/4(-4) - 2 = -3 = y
3rd: 1/4(0) - 2 = -2 = y
4th: 1/4(4) - 2 = -1 = y
5th: 1/4(8) - 2 = 0 = y
