Answer:
Step-by-step explanation:
- x = 36° as alternate interior angles are congruent
- z = 110° as opposite angles of parallelogram are congruent
- x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
- y = 180° - 110° - 36° = 34°
Correct choice is C
Answer: Gear 14 or 14.3
Step-by-step explanation:
So she made 32 cups last year...she made 2 times as much this year...so she made 2(32) = 64 cups this year.
1 gallon = 16 cups
64/16 = 4 gallons
The answer is Chesa made 4 gallons of soup
Answer:
There seems to be a typo error but still this has solution.
Let the number be = x
A positive real number is 6 less than another. Means the second will be 
The sum of the square of the two numbers is 38.
=> 
=> 
=> 
=> 
Taking out 2 common;
=> 
Solving this quadratic equation, we get;
and 
As positive number is needed, we have 
or x = 
x = 0.162277
And other number is 6.162277.
Solutions are 3 and - 5.
Step-by-step explanation:
Step 1:
Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.
⇒ 3x² + 6x - 45 = 0
⇒ x² + 2x - 15 = 0
⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)
⇒ x (x + 5) - 3(x + 5) = 0
⇒ (x - 3)(x + 5) = 0
⇒ x = 3, - 5
