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xeze [42]
3 years ago
9

In the diagram below, AB | CD, AD || BC, mZCDE = 45° and

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

The measure of angle ADE is equal to 62 degrees.

Step-by-step explanation:

Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:

2x + 2(73) = 360

2x + 146 = 360

2x = 214

x = 107 = B = D

Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:

ADE = 107 - 45

ADE = 62

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Each van carries 13 students and each bus carries 25 students.

<h3><u>Distribution</u></h3>

Given that the senior class at High School A and the senior class at High School B both planned trips to Yellowstone, and the senior class at High School A rented and filled 5 vans and 2 buses with 115 students, while High School B rented and filled 1 van and 6 buses with 163 students, and each van carried the same number of students and each bus carried the same number of students, to determine the number of students in each van and in each bus, the following calculation must be made:

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Learn more about distribution in brainly.com/question/14310262

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2 years ago
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