Here, we want to solve an expansion
To get this, we simply multiply the terms in the first bracket with the terms in the second, before we proceed to collect like terms
We have this as follows;
1.Fill the four liter bottle with water first.
2. pour the four liter bottle into the nine liter making the four liter bottle empty and having 4/9 in the other
3.Refill the four liter bottle
4. Pout the four liter bottle into the nine making the four again empty and the nine have 8/9
5. refill the four liter one last time.
6. Finish filling the nine liter with water from the four liter. Making the nine liter full and the four 3/4th full leaving 3 liters in the bottle.
Uhm I’m not sure, haven’t did fraction math in a long time
Answer: 6/25
Step-by-step explanation: (4/5)^2 will be 16/25 - 2/5 what make it easier is to get it to the same denominator so 16/25 - 2/5 is equal to 16/25 - 10/25 so the answer is 6/25
Presumably l and m are parallel, so n and p are transversals across parallel lines. They'll make the obvious congruent angles and supplementary angles (add to 180 degrees) that presumably the questions will be asking about.
1. Angle 11 and angle 16. They're what's called vertical angles from a pair of crossing lines. Vertical angles are congruent, so m∠16 = 113°
2. Angle 1 and 3. Those are corresponding angles on a traversal of parallels, also congruent. m∠3 = 78°. You got this one right, good.
3. 7 & 8. They're what's called a linear pair, so are supplemental. 180-129=51 so m∠8 = 51°. You probably just subtracted wrong on this one.
4. 10 & 11. I forgot what these are called; interior angles or some such. Anyway they're supplementary so 180-77=103. m∠11 = 103°
5. 13 & 12. I forgot the name here too but they're congruent so m∠12 = 59°
6. 2 & 7. Again congruent so m∠7 = 130°
7. I don't know why they insist on making geometry into algebra. Here we have angles 1 & 8, which are congruent, so
5x + 2 = 3x + 28
5x - 4x = 28 - 2
2x = 26
x = 13
