Answer and Step-by-step explanation:
1. <u>Given</u>
This part is given at the beginning of the problem.
2. <u>Corresponding Angles Postulate</u>
Because the lines are parallel, these two angles will be congruent by the corresponding angles postulate.
3. <u>Same-Side Interior Angles Theorem</u>
The same-side interior angles theorem has it so that the angles within parallel lines will add up to 180.
4. <u>Substitution</u>
We can use substitution here because we already determined that the measure of angle UTY is congruent to the measure of angle HGY.
<em>I hope this helps!</em>
<em>#teamtrees #PAW (Plant And Water)</em>
Answer:
The playground covers of a square mile
Step-by-step explanation:
The playground is a rectangular ground. The area of a rectangle is given by legth * width, hence,
The area of the playground is length * width
Area = sq. mi
Hence the playground cover of a square mile
Answer:
The answer is 14.
Step-by-step explanation:
Answer:
75 degrees.
Step-by-step explanation:
The total number of degrees in a triangle is 180 degrees therefore you can take the sum of the other 2 angles in the triangle and take that number and subtract it from 180.
1). 30+75=105
2).180-105=75
3). using the Side, Side, Side geometry rule, this means that both triangles are the same for all angles and side lengths
4). using the Alternative angle rule, the rule that say that a line that intersects 2 parallel lines forms 4 pairs of similar angles
5). therefore angle ABC is the same as angle BCD
6). Angle ABC was determined to be 75 degrees therefore angle BCD is also 75 degrees
<h2>D. 50 units</h2>
Hi, I’m Lena and I will be answering your question to the best of my ability. If you have any further questions after my answer, do not hesitate to ask me! ツ
♡ Let’s look at the main important thing(s) that will lead you in the correct path.
♥ The perimeter is the outside, it is <em>around</em> the figure. When you see those inner triangles, do not pay attention to them! They are just there to make your overthink the question.
♡ Let's solve!
♥ To begin, let's take LM. It already gives you half the segment, so all you need to do is double the number. 9*2=18.
♥ Now, let's take a look at NR. They already give you the segment as a whole, so you do not need to worry about it!
♥ Look at SR. You do the same thing as you did to LM, double the number. 8*2=16.
Now, we add all the numbers to get our final answer.
18+16+16=50.