Using the law of sins:
B =sin^−1((sin(A)⋅a)/b) = sin^−1((sin(65)⋅110)/155)=40.03 degrees
B= 40.03 degrees (round as needed)
Step-by-step explanation:
- 90 + (x + 5) + (2x - 2) = 180
- x + 5 + 2x - 2 = 180 - 90
- 3x + 3 = 90
- 3x = 87
- x = 29
Answer:
the last one
Step-by-step explanation:
In the last one, it takes all of the numbers in the one parentheses and distributes it to the 0.5.
Look at the picture. (sorry for the messy writing)
Answer: See explanation
Step-by-step explanation:
1. Let the small number be x
Then, the bug number will be: x + 25
Therefore, x + x + 25 = 131
2x + 25 = 131
2x = 131 - 25
2x = 106
x = 106 / 2
x = 53
Small number= 53
Big number = x + 25 = 53 + 25 = 78
2. Let the small number be x
Then, the bug number will be: x + 14
x + x + 14 = 58
2x + 14 = 58
2x = 58 - 14
2x = 44
x = 44/2
x = 22
Small number = 22
Bug number = 22 + 14 = 36
The numbers are 22 and 36.
3. Let number of basketball sold be x
Therefore, number of football sold will be x+3.
Therefore, x + x + 3 = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
x = 24/2
x = 12
12 basketball were sold
Number of footballs sold = 12 + 3 = 15
4. Let calories in bowl of soup x
Hamburger = 2 × x = 2x
Therefore, x + 2x = 738
3x = 738
x = 738/3
x = 246
There are 246 calories in bowl of soup
Calories in hamburgers = 246 × 2 = 492 calories
