Answer:
x = 10.5
Step-by-step explanation:
Firstly, in geometry, you may have to <u>prove that the two triangles pictured are similar</u>.
Since the two horizontal lines are marked, they are assumed to be parallel.
Therefore, if the lines are parallel, the two bottom angles of each triangle can be treated as the same due to the [Corresponding Angles Theorem], respectively
As such, the two triangles can be seen as <u>SIMILAR</u> as proven by <u>Angle-Angle Similarity.</u>
Now that we've proven both triangles to be similar, we can then set up ratios for the sides:
= 
Note: we are using y as a measure of the <em>entire right side of the triangle</em>, so
<em>y = 6 + x</em>
Continuing on, if you cross-multiply the fractions to solve for y:
8y = 6 * 22
Simplify.
8y = 132
Simplify again.
y = 16.5
<u>We are not done yet!</u> We are solving for x, so remember <em>y = 6 + x</em>
16.5 = 6 + x
Solve for x.
x = 10.5
This would be A True, hope this helps !
<span>1) Find an equation of the plane. The plane that passes through the point (2, 3, 4) and contains the line x = 4t, y = 2 + t, z = 3 − t 2) Find an equation of the plane. The plane that passes through (6, 0, −3) and contains the line x = 2 − 4t, y = 1 + 5t, z = 2 + 2t 3) Find an equation of the plane. The plane that passes through the point (1, −1, 1) and contains the line with symmetric equations x = 2y = 5z 4) Find the point at which the line intersects the given plane. x = 2 − t, y = 1 + t, z = 3t; x − y + 5z = 14 5) Find the point at which the line intersects the given plane. x = 2 + 2t, y = 3t, z = 4 − 2t; x + 2y − z + 2 = 0 6) Find the point at which the line intersects the given plane. x = y − 2 = 2z; 2x − y + 2z = 2</span>
The inequality that describes the possible values of the expression is:
<h3>What is the lower bound of values of the expression?</h3>
The expression is given by:
To find the lower bound, we try to see when the expression is negative, hence:
Applying cross multiplication and simplifying the 3's, we have that:
From the bounds given, this expression will never be true, at most they can be equal, when:
a = b = 4.
Hence the lower bound of values of the expression is of 0.
<h3>What is the upper bound of values of the expression?</h3>
The expression is a subtraction, hence we want to maximize the first term and minimize the second.
Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:
Then:
Hence the bounds are:
More can be learned about values of expressions at brainly.com/question/625174
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