Answer:
x = 55
Step-by-step explanation:
For PQ and RS to be parallel then
∠ACQ = ∠RDB ( Alternate exterior angles ), thus
3x - 65 = 2x - 10 ( subtract 2x from both sides )
x - 65 = - 10 ( add 65 to both sides )
x = 55
Answer:
x = 4 , y = 1
Step-by-step explanation:
3x + 2y = 14 → (1)
x + y = 5 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 2x - 2y = - 10 → (3)
Add (1) and (3) term by term to eliminate y
x = 4
Substitute x = 4 into (2) and evaluate for y
4 + y = 5 ( subtract 4 from both sides )
y = 1
Steps:
1. Multiply the first line by 3 and the second by 2
3(3x + 2y= 4)
2(8x -3y=-6)
2. New lines are
9x + 6y= 12
16x + -6y=-12
3. Now add/subtract them
25x + 0= 0
25x=0
4. Divide by 25
X=0
5. To find y, substitute the 0 in the x in one of the equations
9x + 6y= 12
9(0) + 6y= 12
6y= 12
6. Divide by 6, your Y=2
7. X=0, Y=2
Answer:
Area = length x width
Area = (3width - 13) x width
Area = 3 width^2 -13width
56 = 3width^2 -13 width
Width = 7
Length = (3 *7) -13 = 8
Step-by-step explanation:
