Answer:
z = -4 1/2
Step-by-step explanation:
1. First change the mixed fractions to improper fractions so it's easier

2. Simplify

3. Cross multiply

4. Simplify again (distributive property)

5. Distributive property


6. Subtract 32 from both sides

7. Simplify

8. Subtract 80 from both sides

9. Simplify

10. Divide both sides by 16

11. Simplify

Sorry if it was too long but hope this helps! :)
And also try using symbolab cuz it gives step by step explanations it's really good!
Answer:
113 feet
Step-by-step explanation:
Use the ratio 1:50 to calculate the height of the tower.
The scale model height is 2.25 feet, so multiply that by 50
2.25 x 50 = 112.5
Round to 113 feet
Answer:
1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.
Step-by-step explanation:
The slope formula is

(1)
Two points are (-2,5) and (1,4).
![m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-5%7D%7B1-%28-2%29%7D%3D%5Cfrac%7B-1%7D%7B3%7Dtex%5D%3C%2Fp%3E%3Cp%3ETherefore%20option%20C%20is%20correct.%3C%2Fp%3E%3Cp%3E%282%29%3C%2Fp%3E%3Cp%3EUse%20the%20above%20mentioned%20formula%20for%20each%20pair%20of%20coordinates.%3C%2Fp%3E%3Cp%3E%5Btex%5Dm%3D%5Cfrac%7B10-13%7D%7B17-12%7D%3D%5Cfrac%7B-3%7D%7B5%7D)



Therefore option D is correct.
(3)
The pair of points (6, y) and (10, -1). The slope is
.




Therefore option B is correct.
(4)
For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.
Therefore option D is correct.
(5)
Two points from the table are (2,110) and (3,165).

Therefore option D is correct.