The lines p and q intersect at point O. What is the value of x? Enter your answer in the box. x = Lines p and q intersect at poi
2 answers:
Answer:
x = 16
Step-by-step explanation
Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.
Hence 2x+13 = 3x-3
Collect like terms
2x-3x = -3-13
-x = -16
Multiply both sides by -1
-1(-x) = -1(-16)
x = 16
Hence the value of x is 16
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Data:
Humans (x) = 2 Legs
Horses (y) = 4 Legs
74 Heads
196 Legs
Solving:
Addition method
Simplify by (-4) The first equation
Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:
Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.
Answer:
Humans = 50
Horses = 24
Humans (x) = 2 Legs
Horses (y) = 4 Legs
74 Heads
196 Legs
Solving:
Addition method
Simplify by (-4) The first equation
Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:
Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.
Answer:
Humans = 50
Horses = 24
1. 5 in and 1/3 in: Area = 5/3 in^2
2. 5 in and 4/3 in: Area= 20/3 in^2
3. 5/2 in and 4/3 in: Area=10/3 in^2
4. 7/6 in and 6/7 in: Area = 1 in^2
Step-by-step explanation:
<u>1. 5 in and 1/3 in</u>
Here,
<u>2. 5 in and 4/3 in</u>
Here,
<u>3. 5/2 in and 4/3 in</u>
<u>4. 7/6 in and 6/7 in</u>
<u>Let</u>
<u>Hence,</u>
1. 5 in and 1/3 in: Area = 5/3 in^2
2. 5 in and 4/3 in: Area= 20/3 in^2
3. 5/2 in and 4/3 in: Area=10/3 in^2
4. 7/6 in and 6/7 in: Area = 1 in^2
Keywords: Rectangle, Area
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