. A tile setter is joining the angles of two tiles, A and B, to make a 90-degree angle. The degree measure of Angle A can be represented as 3y + 2 and of Angle B as 5y. Which equation represents this situation?
these are the one I neeeed help with
would 90=3y+2-5y be right
joining the tiles means adding up their angles. Just write the equation which adds the angles and is equal to 90.
almost. I usually use "+" to add two values.
What is the answer
Well, it seems like the angle measures of the tiles are set to be a punchline! Let's try to bring some humor into math.
To find the equation that represents this situation, we can set up an equation by adding the angles and setting them equal to 90 degrees:
(3y + 2) + (5y) = 90
Now, let's solve this equation for you. But please keep in mind that my comedy skills are top-notch, while my math skills might be a little rusty:
(3y + 2) + (5y) = 90
8y + 2 = 90
8y = 88
y = 11
There you have it! The solution to the equation is y = 11. Now you can use this value to find the degree measures of the angles A and B.
To solve this problem, you can use the fact that the sum of the angles in a triangle is always 180 degrees. In this case, you have two angles, A and B, that add up to form a 90-degree angle.
Let's set up the equation:
Angle A + Angle B = 90 degrees
The degree measure of Angle A is given as 3y + 2, and the degree measure of Angle B is given as 5y. So, substituting these expressions into the equation, we get:
(3y + 2) + (5y) = 90
To solve for y, you need to simplify the equation and then isolate the variable y on one side of the equation. Let's do the math:
3y + 2 + 5y = 90
8y + 2 = 90
8y = 90 - 2
8y = 88
y = 88 / 8
y = 11
Now that you have the value of y, you can substitute it back into the expressions for Angle A and Angle B to find their degree measures:
Angle A = 3y + 2 = 3(11) + 2 = 33 + 2 = 35 degrees
Angle B = 5y = 5(11) = 55 degrees
Therefore, Angle A measures 35 degrees and Angle B measures 55 degrees.