Answer:
E. 16
Step-by-step explanation:
Perimeter of the triangle = 4x+4x+(x+7)
Perimeter of square = 4(x+3)
We know that the perimeters are equal so we can form an equation to solve for x:
9x+7 = 4x + 12
Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:
9x+7-7-4x=12+4x-4x-7
5x = 5
Now we divide both sides by 5 to get:
5x/5 = 5/5
x = 1
Now we can use this value to figure out the perimeter of the triangle:
P = 9x + 7
x=1, substitute into equation:
P = 9(1) + 7
P = 16
Hope this helped!
Answer:
3
Step-by-step explanation:
1/x=x+3/2x²
By cross-multiplication, we get,
2x²=x(x+3)
2x²=x²+3x
2x²-x²-3x=0
x²-3x=0
x(x-3)=0
x=3
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
Answer: what division?
Step-by-step explanation:
