Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96
x = 16
Now angle 1 becomes 3(16) = 48
Angle 1, 2, and 3 also make up a straight line.
Thus, angle 2 + 48 + 90 = 180
angle 2 + 138 = 180
angle 2, therefore, becomes 42. In essence, (A)
Answer:
3. x+8
4. 6y
5. 1/2m
6. 50/h
7. 7-n
8. 15+x
9. 2t/12
10. p² -3
11. 2k-7
12. 3(w+5)
13. C
14. The error was it was written that you would subtract the pages read by pages in the article which is incorrect. You would subtract pages total (5) by pages read (p). So it is 5-p.
15. 4v
16. 16/p
17. 2.97/p
18. 20+j
19. 7-d
20. m/60
21. y/12
22. unit rate-8
23. unit rate-1.5
24. unit rate-2.4
25. unit rate-6.8
26. C
Answer:
488
Step-by-step explanation:
Area of rectangle: 17 x 22 = 374
Area of triangle: 22 - 10 = 12
0.5(12 x 19) = 114
Add them together: 374 + 114 = 488
Answer:
feet tall
Step-by-step explanation:
Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number 
.
His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.
So, this is just a subtraction problem:
To solve this, we want to convert 5 1/4 into an improper fraction, which is: 
. Now, we want to find a common denominator. In this case, that common denominator is 8, so 
.
Finally, we subtract 3/8 from 42/8: 
. So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4
.
Therefore, Ajax's sister is feet tall.
Hope this helps!
Answer:
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