Solution:
Let the missing angle be x.
<u>It should be noted:</u>
- The two diagonals form four isosceles triangles. (ΔBOC, ΔCOD, ΔDOA, and ΔAOB)
- ∠DOA = ∠BOC = 44 (Vertically opposite angles)
- Interior angles of a triangle sum up to 180°
<u>This means that...</u>
<u>Combine like terms.</u>
<u>Subtract 44 both sides.</u>
<u>Simplify the RHS</u>
<u>Divide 2 both sides.</u>
- 2x/2 = 136/2
- => x = 136/2 = 68°
Answer:
Option B: 
Step-by-step explanation:
A function is said to be increasing if it has a slope greater than 0.
The function with the largest slope has the highest increasing rate.
Here, for the graph in option A, the function is decreasing with increasing 
. So, it has a negative slope.
We need to convert equation of option B into standard form and then determine its slope.
The standard form of a straight line is 
, where 
is the slope of the line and 
is the y-intercept.
Now, given function is:
Therefore, the slope is 2.
Option C:
Slope is given as,
Therefore, the slope is 1.
Option D:
Equation of a line with 
and as and 
intercepts is given as,
Here, 
and 
∴ 
Therefore, the slope is 
.
Hence, the largest slope is for option B and thereby the highest increasing rate.
I hope this picture helps you!
3 number of days are given form different activities of sales and purchase.
Day 2:
Earnings : $16
Spendings : $7.
Day 3:
Earnings : $22
Spendings : $12.
Please note: We always add the Earnings and Subtract the Spendings.
Therefore, the expression can be used to model the situation for these 2 days as
First day earning - First day spendings + Second day earning - Second day spendings
16-7 + 22 -12.
In order to write the expression as adding the additive inverse, we need to factor out minus from second group by making expression into two groups.
We will write two positive numbers in first group and two negative numbers in second group.
(16+22) + (-7-12).
Factoring out minus sign from second group, we get
(16+22) - (7+12)
This expression in additive inverse form now.
