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°
First, let's add all the x's.
x + x + x + x + x = 5x
5x - 1 + 1 + 1 + 1
Now, let's add together all the 1's that are being added (not the 1 that is being subtracted from 5x).
1 + 1 + 1 = 3
5x - 1 + 3
3 - 1 = 2
5x + 2
There's no way you can actually solve this unless you know the value of x; without x's value, this is as simplified as the expression is going to get.
Hope this helps!
Answer:
Step-by-step explanation:
Perimeter is 70 m
so w + w + 6w + 6w = 70
w = 70/14 = 5, l = 30m.
Area = l * w = 30 * 5 = 150 sq m
Answer:
The answer is the last one.
Step-by-step explanation:
Firstly, look at the first inequality and we get
, so
. In the second inequality, we have
, so
. Together, we know that the answer is the last one.