<em>Greetings from Brasil...</em>
We have 2 conditions:
1 - angles opposed by the vertex - the angles are equal
2 - supplementary angles - the sum of the two angles results in 180
2:
(4X + 15) and (5X + 30) are supplementary angles, so:
(4X + 15) + (5X + 30) = 180
9X = 180 - 15 - 30
9X = 135
<h2>X = 15</h2>
1:
(3Y + 15) and (5X + 30) are angles opposed by the vertex, so they are equal
3Y + 15 = 5X + 30
3Y = 5X + 30 - 15
3Y = 5X + 15 <em>above we have already calculated the value of X</em>
3Y = 5.(15) + 15
3Y = 75 + 15
3Y = 90
Y = 90/3
<h3>Y = 30</h3>
We can use pythagorean theorem:
a^2 + b^2 = c^2
4 + 9 = c^2
13 = c^2
sqrt of 13 = c
Hope this helps!
<span>The phrase "alongside the drawing by Michelangelo" is a A. prepositional phrase. The whole phrase starts with the preposition "alongside," which is why it is a prepositional phrase. Given that there are no verbs or adverbs in this phrase, it certainly cannot be a participial, verbal, or adverbial phrase. This is because participles and verbals refer to verbs, and adverbials to adverbs, which do not exist in this phrase.</span>
the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees
so,
(21x-2) + (38x +5) = 180
21x+38x −2+5=180
59x+3=180
59x=177
x=3