Answer:
see explanation
Step-by-step explanation:
The 4 sides of a rhombus are congruent.
(i)
2y + x - 4 = 2x - y ( subtract 2x - y from both sides )
3y - x - 4 = 0 ( add 4 to both sides )
3y - x = 4 → (1)
and
= 2x - y ( multiply both sides by 2 to clear the fraction )
4x - 3y + 5 = 4x - 2y ( subtract 4x - 2y from both sides )
- y + 5 = 0 ( subtract 5 from both sides )
- y = - 5 ( multiply both sides by - 1 )
y = 5
substitute y = 5 into (1)
3(5) - x = 4
15 - x = 4 ( subtract 15 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
(ii)
then
2x - y = 2(11) - 5 = 22 - 5 = 17
perimeter = 4 × 17 = 68 cm
Answer:
5
Step-by-step explanation:
Answer:
114 marbles.
Step-by-step explanation:
Let the number of red marbles be r
Let the number of black marbles be b
<u>Given the following data;</u>
Total number of marbles = 120
Translating the word problem into an algebraic equation, we have;
.......equation 1
........equation 2
Substituting the value of "r" into equation 2, we have;
b = 6 marbles.
To find the number of red marbles;
From equation 1;
Substituting the value of "b" into equation 1, we have;
<em>r = 114 marbles.</em>
<em>Therefore, there are 114 red marbles in the bag. </em>
Answer:
x>−4 or x<−8
Step-by-step explanation:
