Answer:
11. AW║BY
12. DX║YZ
13. AW║YZ
14. AW║DZ
Step-by-step explanation:
11. If alternate interior angles are congruent, the lines the transversal crosses are parallel.
12. The sum ∠5+∠6 is an alternate interior angle with ∠10. The reasoning of problem 11 applies.
13. If same-side interior angles are suppplementary, the lines the transversal crosses are parallel.
14. Lines perpendicular to the same line are parallel.
we are given the following triangles:
We are asked to determine the value of "y". To do that we will use the tangent of 25:
We solve for "y" by multiplying both sides by "x":
Now, we take the tangent of 15:
Now, we solve for "y" by multiplying both sides by the denominator:
Now, we set both values of "y" equal, we get:
now, we solve for "x". First, we apply the distributive property on the right side:
Now, we substract
The value of x when the triangle and the parallelogram have the same area is 6 units
<h3>The dimensions</h3>
The dimension of the parallelogram is given as:
The dimension of the triangle is given as:
<h3>Areas</h3>
The area of a shape is the amount of space it occupies
The area of the parallelogram is calculated as:
The area of the triangle is calculated as:
Both areas are equal.
So, we have:
Divide both sides by x
Subtract 4 from both sides
Hence, the value of x is 6 units
Read more about areas at:
brainly.com/question/2126265