Answer:
2.2 inches
Step-by-step explanation:
This is because of the stated scale rate. 1/5 is equal to 20% with that 20% of 11 inches would yield 2.2 inches hope this helps :)
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
Answer:
13
Step-by-step explanation:
We need to use the Pythagorean Theorem to solve this problem:
, where a and b are the legs of the right triangle and c is the hypotenuse
In this case, we already know b (b = 84) and c (c = 85), so we need to solve for a:

Thus, a = y = 13.
Answer:

Step-by-step explanation:
observe by factorization and cancelation

Answer:
19.2 hours.
Step-by-step explanation:
There are 60 minutes in an hour.
60 x 4 = 240
There are 240 minutes in 4 hours.
Next, find out how long each episode is.
240 / 5 = 48.
48 minutes is how long each episode is.
48 x 24 = 1152
The entire season would be 1152 minutes.
1152 / 60 = 19.2.
Feel free to let me know if you need more help. :)