2x + 10 and x + 40 are vertical angles. By definition, vertical angles are congruent. So let's take care of that first. 2x+10 = x+40. Subtract an x from both sides and at the same time subtract 10 from both sides to get x = 30. Ok so x = 30. So what, right? We need y. Well, 2y+x is vertical with an angle that has the exact same measure as 2y+x because vertical angles are congruent. We know that all those angles add up to equal 360, so here's our equation:

. Combining like terms gives us 5x+4y=360. We already have a value for x, remember, so we will sub it in. x=30. 5(30)+4y=360 and 150 + 4y = 360. Subtract 150 from both sides and we have 4y = 210. Divide both sides by 4 to get that y = 52.5. There you go!
Answer: 12a+ 13b
Step-by-step explanation:
Try to use photo math it gives you the work and answer
Answer:
3. C or 18.
4. Perimeter: 10 Area: 6.25
5. 3 and 16
Step-by-step explanation:
3. Because the area of a triangle is 1/2 the base times the height if you double the area you can divide this total area by one side to find the length of the other side. In this problem that is 72*2 which is 144. Then dividing 144/8 you get 18, which is answer choice C.
4. Since a square has 4 sides that are all the same, you only need to know one side length to know them all. Multiplying one side length (2.5) by itself will get you the are of the square as a whole. Doing this (2.5 multiplied by 2.5 gets the area of 6.25.
For the perimeter calculation use the formula for a perimeter of a square which is one side (2.5) multiplied by 4 is 10, which is the perimeter.
5. This is because 3*16 is 48 or the area of the rectangle.