The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
<h3>
Properties of a Parallelogram</h3>
- The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
- Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.
Therefore:
ON = LM
Substitute
7x - 5 = 6x + 4
Add like terms
7x - 6x = 5 + 4
x = 9
OL = NM
Substitute
8y + 3 = x + 6
Plug in the value of x
8y + 3 = 9 + 6
8y + 3 = 15
8y = 15 - 3
8y = 12
y = 12/8
y = 1.5
Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
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brainly.com/question/7200842
Answer:
48
Step-by-step explanation:
4/6 = 2/3
2/3 times 72 = 48
Answer:
ST = 20
Step-by-step explanation:
Line segment RS and segment ST must add up to line segment RT
Step 1: Define
RS = 17
ST = x + 6
RT = 3x - 5
Step 2: Set up equation
mRS + mST = mRT
17 + x + 6 = 3x - 5
Step 3: Solve for <em>x</em>
x + 23 = 3x - 5
23 = 2x - 5
28 = 2x
x = 14
Step 3: Find mST
ST = x + 6
ST = 14 + 6
ST = 20
Answer:
9 inches
Step-by-step explanation:
First, solve for the x - intercept. To do so, equate y to 0 and solve for x.
0 = 4x - 2, x = 1/2
Second, solve for the y - intercept. Equate x to 0 which will give us,
y = (4)(0) -2, y = -2
Therefore, the x-intercept is 1/2 and y-intercept is -2.
