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°
Answer:
-2/3
Step-by-step explanation:
Rise over run! The slope rises twice and goes over 3 times. The slope is negative so put a negative sign behind it.
Equation = -2/3
i’m not sure if i’m correct but here’s my answer !
Answer: x=7/5 or 1 2/5
Step-by-step explanation:
Given
x+3/5=2
Subtract 3/5 on both sides
x+3/5-3/5=2-3/5
x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the
x=7/5 operation)