step 1: open brackets n rmb to flip the signs
step 2 (optional): rearrange to make the equation clearer to add/minus
length of 3rd side:
(8x + 3) - (2x + 1) -(5x + 2)
= 8x + 3 - 2x -1 - 5x -2
= 8x -2x -5x +3 -1 -2
= x
Therefore, length of 3rd side is X cm.
---
If perimeter = 75cm,
8x +3 = 75
8x = 75-3
8x = 72
x = 9 cm
Therefore,
1st side = 2(9) +1
= 19 cm
2nd side = 5(9) +2
= 47 cm
3rd side = 9 cm
Answer:
X = 70 degrees
Step-by-step explanation:
The way to figure this out is by taking the angle of the 30 degrees and applying it to the opposite side of its self then just add it to the 80 degrees which will equal 110 and since a straight line has 180 degrees just subtract 180 by 110 and that will be the value of x because the lines are parallel and the line that goes through both lines will always have the same angle.
Answer:
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal.
To determine the scale factor calculate the ratio of corresponding sides, that is
= 
=
Step-by-step explanation:
14,800
107
123,700
hope this helps have a great day
Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
= k , that is
k = 
e = w ← equation of variation
when e = 17.4 , then
17.4 = w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w
