Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Answer:
36
Step-by-step explanation:
Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?
Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)
∴ if number is reversed then resulting number be "10x+y".
As given: x= 2y
and 
Now, solving the equation to get original number.
Distributing 2 to 10y and x, then opening the parenthesis.
⇒ 
subtracting by (2x+y) on both side.
⇒ 
subtituting the value of "x", which is equal to 2y.
∴ 
⇒ 
subtracting both side by (16y-9)
⇒ 
cross multiplying
We get, 
y=3
∵x= 2y
∴ x= 6
Therefore, the original number will be 36 as x is the unit number and y as tenth number.
The product of two positive integers is always POSITIVE . The product of two negative integers is always POSITIVE. The product of a positive integer and a negative integer is always NEGATIVE . The product of any integer and –1 is always THE OPPOSITE OF THAT INTEGER .
Answer:
-9x² + 25
Step-by-step explanation:
To solve, use FOIL. FOIL:
First
Outside
Inside
Last
Solve "First":
(3x)(-3x) = -9x²
Solve "Outside":
(3x)(-5) = -15x
Solve "Inside":
(-5)(-3x) = +15x
Solve "Last":
(-5)(-5) = +25
Combine like terms:
-9x² - 15x + 15x + 25
-9x² (-15x + 15x) + 25
-9x² + 25
-9x² + 25 is your answer.
~
12.74 is the answer to the question
