Answer:
The ratio of the songs is 5:3
Step-by-step explanation:
This means that for every 5 songs Adam has, his mother has 3. We can do that in intervals of 5:3, with 10:6, 15:9, 20:12, and etc.
0.583 (the 3 is repeating)
9 is the LCM, and the GCF is 27
Use the distributive property to combine like terms. Since we only have one X value and one y value we need to use the 4. 2x times 4 is 4x. 3y times 4 is 6y. Now the equation can be simplified to 4x plus 6y. We have no more like terms so the equation cannot be simplified any further without more context.
Answer:


Hence prove.
Step-by-step explanation:
Given:
∠A + ∠D = 90°
We are prove to that
Solution:
See required figure in attached file.
We know sum of the all angles of a triangle is 180°.
So, in triangle AED.
∠A + ∠E + ∠D = 180°
∠E + (∠A + ∠D) = 180°
Now, we substitute ∠A + ∠D = 90° in above equation.
∠E + 90° = 180°
∠E = 180° - 90°
∠E = 90°
Using Pythagoras Theorem for triangle ADE and triangle BEC.


Now, we add both above equations.
--------(1)
Similarly, Using Pythagoras Theorem for triangle AEC and triangle BED.


Now, we add both above equations.
--------(2)
We get From equation 1 and equation 2.
Hence prove,