<BAC = <DEC = 30°
<BCA = <DCE = 70°
<CDE (or m<D) = 180° - <DEC - <DCE
<CDE = 180° - 30° - 70°
<CDE = 80°
The number that belongs in the green box is 80
Given:
The expression is
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,

Now,




There are more ways to apply the parenthesis, but we do not get 19.



And many more possibilities.
Therefore, the expression after inserting the parentheses is
.
Answer:
minimum: (
)
maximum: (-
)
vertical intercept: (0 , -2)
Step-by-step explanation:
The algebraic equation used to answer this question is:
3d + 4(1/2d) = 56.5
This is because he ran d, the distance, three times that week. For the rest of the four days, he ran 1/2 the distance, or half d.
To find the answer, you first distribute:
3d + 2d = 56.5
Add like terms:
5d = 56.5
Divide both side by 5:
5d/5 = 56.5/5
d = 11.3
On the first three days, Luke jogged 11.3 miles. On the remaining days, where he jogged 1/2d, Luke jogged 5.65 miles.
Hope this helps!