Answer:
The value of x is, 
Explanation:
Given: 
Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.
If 
Now, using distributive property on left hand side of the given expression as:
or 
Addition Property of equality state that we add the same number from both sides of an equation.
Add r to both sides of an equation:
Simplify:
Subtraction Property of equality state that we subtract the same number from both sides of an equation.
Subtract Nx from both sides of an equation;
Simplify:
or
Division Property of equality states that we divide the same number from both sides of an equation.
Divide by (34-N) to both sides of an equation;
On Simplify:
Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
Answer:
Step-by-step explanation:
Answer: it would take 20 weeks before the amount in both accounts would be the same.
Step-by-step explanation:
Let x represent the number of weeks that it will take either Ruben and Shawna to have the same amount of money in their account.
Let y represent the total amount that would be in Shawna's account after x weeks
Let z represent the total amount that would be in Ruben's account after x weeks
Shawna has $750 in the bank. She deposits $37.50 each week. This means that the total amount after x weeks would be
y = 37.5x + 750
Ruben has $850 in the bank. He deposits his paycheck of $102.75 every Monday,and he spends about $70.25 each week.. This means that the total amount after x weeks would be
z = 850 + 102.75x - 70.25x
z = 850 + 32.5x
To determine the number of weeks before the amount in both accounts will becomes the same, we would equate y to z. It becomes
37.5x + 750= 850 + 32.5x
37.5x - 32.5x = 850 - 750
5x = 100
x = 100/5 = 20
Answer: The conditional statements are not in the correct form to make a conclusion using the law of syllogism. “If p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism. The law of syllogism could be used if the hypothesis in the second statement was "if two pairs of congruent angles are formed."
Step-by-step explanation:
"If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.
Neither of the conclusions of the conditional statements are the hypothesis of the other.
"If two pairs of congruent angles are formed" could be the hypothesis of the second statement.
** Both can be used to answer the question :)
