Step-by-step explanation:
2x+3(3x+8)=13 y=3x+8
2x+9x+24=13 y=3(-1)+8
11x+24=13 y= -3+8 =8-3
11x=13-24 y=5
11x/11= -11/11
x= -1
In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:
y - 4x = 9
-x + 4 = y
Add x to both sides of the second equation:
y + x = 4
y - 4x = 9
This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:
5x = -5
x = -1
Use x to solve for y:
y + (-1) = 4
y = 5
So, x = -1 and y = 5.
1.
The edge lengths of a triangle are inversely proportional to 2,3 and 4.
The actual proportions of the lengths are then
12(1/2:1/3:1/4)=6:4:3
The longest side
= 39* (6/(6+4+3)
= 39*6/13
=18
2. 63 breads : 35 kg flour
is the same as
54 breads : x kg flour
Cross multiply and get
x=54*35/63=30
30 kg of flour are needed to make 54 breads.
- Answer & step-by-step explanation:
<em>a) impossible</em>
<em>b) the sum of the angles in a triangle is 180°</em>
<em>63° + 59° + 57° = 179°</em>