If the measure of angle AOB = 2x + 4 and the measure of angle COD = 4x - 10, write an equation for solve for x
2 answers:
Answer:
Step-by-step explanation:
We know that ∠AOB is (2x+4) and ∠COD is (4x-10).
Note that ∠AOB and ∠COD both have one arc mark.
In other words, they are congruent. Therefore, their angle measures are the same.
So, we can set the two equations equal to each other:
Now, we can solve for x. Let's add 10 to both sides. This yields:
Now, let's subtract 2x from both sides. This yields:
Finally, divide both sides by 2. Therefore, the value of x is:
And we're done!
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<h3>The ladder will reach a height of 11.8 feet up the wall</h3>
<em><u>Solution:</u></em>
The ladder, wall and base of the ladder from wall forms a right angled triangle
Length of ladder forms the hypotenuse
Length of ladder = 12 foot
base of the ladder from wall = 2 feet
<em><u>To find: height of wall</u></em>
By pythagoras theorem.
Where,
"c" is the Length of ladder
"a" is the base of the ladder from wall
"b" is the height of wall
Substituting the values,
Thus, the ladder will reach a height of 11.8 feet on wall
The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have three linear equations in three variables:
x - y - z = 0 ..(1)
2x - y + 2z = 1 ..(2)
x - y + z = -2 ..(3)
From the equation (1):
Plug this value in the equation (2) and (3):
After solving we get:
z = -1
y = 5
Plug the above two values in equation (1) we get:
x = 4
Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.
Learn more about the linear equation here:
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