3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
Answer:
Step-by-step explanation:
Count the number of zeros, if it's a perfect power of 10. :)
Answer:
Step-by-step explanation:
22: 7/5
23: 15/4
24: 21/8
25: 9/2
26: 16/3
27: 13/7
28: 25/4
29: 32/9
30: 32/3
Answer:
5 packs of vases.
Step-by-step explanation:
8 divided by 40 = 5. therefore, 5 packs of vases can be bought.
Answer:
Step-by-step explanation:
Here, following formula will be used
(a+b)²= a²+b²+2ab
question
5(3a + b)² +6 (3a +b) - 8
=> we will take out 3 as common number to make the term (3a+b) to fit formula requirement
=> 5x3 (a+b/3)²+6(3a+b)-8
=> 15(a²+b²/9+2xaxb/3)+18a+6b-8
here, we have expanded the formula
=> 15a²+15b²/9+15x2ab/3+18a+6b-8
=> 15a²+5b²/3+10ab+18a+6b-8
