Answer:
9
Step-by-step explanation:
All triangles (3 sided polygons) have angles added up to 180, so we can do the following:
(7x-1) + (7x+8) + (5x+2) = 180° <em>- equation</em>
7x-1 + 7x+8 + 5x+2 = 180° <em>- "distribute"</em>
19x - 1 + 8 + 2 = 180°<em> - combine the x terms</em>
19x + 9 = 180° <em>- combine the integer terms</em>
19x = 171 <em>- subtract 9 form both sides</em>
x = 9 <em>- divide both sides by 19</em>
Answer is a. (-13, 12) b. (4, 11)
Step by step
When your rule is
(x,y) ➡️ (x -8, y +2)
a)
You take your input (-5, 10) and add your input rule to that input to get your output.
Input of x is -5, add x rule -8 = -13
Input of y is 10, add y rule +2 = 12
Your output or new coordinate is (-13, 12)
b) You take your input (12, 9) and add your input rule to that input to get your output.
Input of x is 12, add x rule -8 = 4
Input of y is 9, add y rule +2 = 11
Your output or new coordinate is ( 4, 11)
If your rule changes the process is still the same. Remember to watch adding or subtracting negatives. You can use a graph and plot your input and count out your “rule” to double check your work if you want.
Answer:
The Cost of wallet was $26.30.
Step-by-step explanation:
Given:
Total billed after redeeming voucher = $34.45
Voucher worth = $5
We need to find the cost of Wallet.
Solution:
Let the amount paid for groceries be 'x'.
Now Given:
She purchases a wallet that amounted to double the price she paid for the groceries she bought.
Cost of wallet = 
Now to find the cost of wallet we will consider the amount before redeeming the voucher.
Hence Total bill before redeeming the voucher = 
Now We can say that;
Total bill is equal to sum of Cost of wallet and Cost of groceries.
framing in equation form we get;
Dividing both side by 3 we get;
Cost paid for groceries = $13.15
Cost paid for wallet = 
Hence the Cost of wallet was $26.30.
Answer:
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
b = -5
Now use the above slope and y intercept to create equation of a line:
Answer:
x = 14
Step-by-step explanation:
1.1 Pull out like factors :
2x - 20 = 2 • (x - 10)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
One solution was found :
x = 10
