Hey there! :D
So, those both will be equal to 180 degrees. Consecutive angles are supplementary.
2x-20+3x= 180
5x-20=180
Add 20 to both sides.
5x=200
x= 40
I hope this helps!
~kaikers
Answer:
B. $61600
Step-by-step explanation:
Increase the initial value by 10%.
56000 × (1 + 10%)
56000 × (1.1)
= 61600
The budget for the new year is $61600.
The distributive property will show you how you can state the arrays.
1) Make 135 = 100 + 35
⇒ 135 ÷ 5 = (100 + 35 ) ÷ 5
Distributive property → 100 ÷ 5 + 35 ÷ 5 =
⇒ 20 + 7 = 27
This means that 27 is the result of the division 135 ÷ 35
Then you can make one array with 20 rows of 5 tiles each, and 7 rows of 5 tiles each.
2) For the second array you can make 135 = 50 + 50 + 30 + 5
⇒ 135 ÷ 5 = (50 + 50 + 30 + 5) ÷ 5
Distributive property → 50 ÷ 5 + 50 ÷ 5 + 30 ÷ 5 + 5 ÷ 5
⇒ 10 + 10 + 6 + 1 = 27
Which also shows that 27 is the result of 135 ÷ 5
Therefore, you can make an array with 10 rows plus 10 rows, plus 6 rows, plus 1 row, each of 5 tiles.
Answer:
Step-by-step explanation:
Given :
x y
0 14
1 23
2 30
3 58
4 137
5 310
To Find: What is the exponential regression equation to best fit the data?
Solution:
General form of exponential regression equation : 
So, using calculator
Regression Equation:
Hence the exponential regression equation to best fit the data is
Answer:
0.0000019 in.
Step-by-step explanation:
I'm not exactly sure on this, but you would convert the 365 days in a year to 8,760 hours, which would be 525,000 minutes. Since there are 24 hours in a day, I multiplied 365 days by 24 hours, which is how I got 8,760 hours in a year. Then I got 525,000 minutes in a year by multiplying 8,760 hours by 60 minutes. I converted the 365 days in a year to minutes because the question only gives you how many minutes there are.
With this information, I created a proportion. 1.5 inches over 525,000 minutes equals x over 0.05 (I decided to use the 0.05 of a minute rather than the 3 seconds so I didn't have to convert the 525,000 minutes to seconds. 0.05 was the number given in the question).
After cross-multiplying, I got 0.075 from 1.5 times 0.05 and divided 0.075 from 525,000. 525,000 divided by 0.075 is 0.0000019 inches.
