We are given that two lines are cutting by a transversal line.
We can see that angle <x and angle <y are Consecutive Exterior Angles.
Note: When two parallel lines cut by a transversal line, the each pair of angles outside the parallel lines on the same side of the transversal are called Consecutive Exterior Angles.
Also please note that two Consecutive Exterior Angles are supplementary.
In simple words, the sum of two Consecutive Exterior Angles is 180 degree.
So, we can apply supplementary angles property of Consecutive Exterior Angles to find the sum of x and y in the given diagram.
Therefore, x+y = 180°.
The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.
<h3>What is the equation that can be used to solve for the width?</h3>
A rectangle is a 2-dimensional quadrilateral with four right angles.
Area of a rectangle = length x width
(2x + 4) x (2x + 10) = 120
Expand the brackets
4x² + 20x + 8x + 40 = 120
Add similar terms
4x² +28x + 40 = 120
4x² +28x - 80 = 0
Divide through by 2
2x² + 14x - 40 = 0
To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449
We have two similar triangles. One triangle has the lengths of 5 and 7, while the other has 2 and x. We can set these up as proportions.
Set the proportions by creating fractions with the corresponding side lengths.
It should look like this:
5/2 : 7/x
A quick way to solve for this is to find the scale factor- by dividing the numerator by it's denominator.
Divide 5 by 2.
5 / 2 = 2.5
2.5 is our scale factor, so we should divide 7 by 2.5 to solve for x.
Divide 7 by 2.5.
7 / 2.5 = 2.8
X = 2.8
Your answer is B.) 2.8
I hope this helps!
Answer:
4
Step-by-step explanation: