So just divide 100 by 25 which equals 4 then divide 120 by 30 which also equals to 4 and if the rest equal 4 then its proportional (1)
And then same for 2 and 3 just divided the bottom by the top and if they all get the same answer they are proportion and if one is not the same then it’s not
For the grids if the dots are line diagonally straight and it starts at the 0 then it’s proportional if not then it’s not
Hope this helps :)
To find the value of x, compare the equal sides, As two angles are equal so the sides opposite to these angles are also equal.
Compare the sides.
9x-8=28
Add 8 to both sides
9x=36
Divide both sides by 9.
x=4
Answer: x=4
Answer: 17.5 units.
Step-by-step explanation:
The triangle LAY is a similar triangle to LYW. It has the same angle measures, but different side lengths. The hypotenuse of LAY is the line LY, while the hypotenuse of LYW is the line LW.
We can use the line LY to find LW.
Use the Pythagorean Theorem to find LY:
(3.5)^2 + 7^2 = 61.25
So, LY has a length of 
.
You can then use proportions to find the distance of LW.
The line LA is the base of the smaller triangle, and the line LY is the base of the larger triangle.
The line LY is the hypotenuse of the smaller triangle, and the line LW is the hypotenuse of the larger triangle.
You can then cross multiply to get this equation:
So, the line LW has a length of 17.5.
N 4
Part A
a) 7a+2a+3b-------> (7a+2a)+3b-----> 9a+3b
b) 8p+2p-7q-------> (8p+2p)-7q------> 10p-7q
c) 9a²+2a²+5a-----> (9a²+2a²)+5a---> 11a²+5a
d) 5ab+2ab-7a-----> (5ab+2ab)-7a---> 7ab-7a
e) 7+2a-a------> 7+(2a-a)-----> 7+a
f) 2a+3b+5a+2b---> (2a+5a)+(3b+2b)-----> 7a+5b
g) 6p+2q-4p+4q---> (6p-4p)+(2q+4q)----> 2p+6q
h) 9m²+7m²+5m-3m-----> (9m²+7m²)+(5m-3m)------> 16m²+2m
i) 7a²+4a-2a²+7----> (7a²-2a²)+4a+7------> 5a²+4a+7
j) 10p-3q+p-7p-----> (10p+p-7p)-3q------> 4p-3q
k) 3x²+2x-2x²+3x+x²---> (3x²-2x²+x²)+(2x+3x)-------> 2x²+5x
N 5
a) If Julie buys 4 boxes and Michelle buys 7 boxes
in total
(4+7)*n-----> 7*n
the answer Part 5 a) is 7*n
b) (5kg+3kg)*b---------> 8*b
the answer Part 5 b) is 8*b
c) (3+4+6)*x-------> 13*x
the answer Part 5 c) is 13*x
N 6
a) L+B+L+B------> (L+L)+(B+B)-----> 2*L+2*B-----> 2*(L+B)
b)
1) L+L+L-----> 3*L
2) 5+5+5+5-----> 5*4
3) x+x+y-----> 2*x+y
4) a+b+c+c----> a+b+2*c
N 7
a) s+s+s+s+s+s+s+s------> 8*s
b) t+t+t+t-----> 4*t
c) t+t+t+t+t+t----> 6*t
d) t+t+t+s+s----> 3*t+2*s
e) t+t+t+s+s+s----> 3*t+3*s
f) 12*t+6*s
g) 10 squares+12 triangles-----> 10*s+12*t
h) n squares+m triangles-----> n*s+m*t
