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:
The answers are 
and 
.
Step-by-step explanation:
Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.
First, let's begin with 2:
Then, let's do 5:
Note that we already have 
, so we do not need to include an additional one.
Now, let us do 8:
See how we already have 
, so we won't have to include that as well.
Finally, let's do 20:
Now see that we already have both 
and 
, so we won't have to include both of them, as they are both extras.
Hence, the answers are and .
<h2><u><em>
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4w⁹ -2w⁹
= (4-2)w⁹ . . . . . distributive property, or "collecting terms"
= 2w⁹
_____
In plain text, a caret (^) is used to identify an exponent. w⁹ = w^9. If the exponent has any arithmetic, you need parentheses around it. w^(8+1)
Answer:
$4.33
Step-by-step explanation:
3 hours -> $13
1 hour -> $13/3 = $4.33
Answer:
is this a trick question?
