Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
-
ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
-
ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
25 degrees because 90-65=25
Answer:
Step-by-step explanation:
8 3/5 is already in simplest form. You could write this mixed number as an improper fraction:
43/5
or as a mixed decimal number:
8.6
Answer:
0.2%
Step-by-step explanation:
2,000 people tested the new shampoo.
4 people had a mild allergic reaction.
4 is what percentage of 2,000?
0.2 percent.
(2,000 = %99.8)
Answer:



Step-by-step explanation:
Required
Which equals 

Collect like terms


Divide both sides by 2


Collect like terms


Divide both sides by 2


Collect like terms


Divide both sides by -2


Divide both sides by 2

Collect like terms



Divide both sides by 2

Collect like terms


Hence, the equations with the required solution are:


