Let the measure of the angle be x and from that the measure of its complement is 90 - x. The equation that best represent the given condition above is,
3x = (90 - x) - 14
The value of x from the equation above is 19. Thus, the answer is letter A.
Answer:
c. 6 cups
Step-by-step explanation:
The proportion is 1 cup of sugar for 1 dozen cookies (1/1). So if you multiply the denominator by 6 you must multiply the numerator by 6, and 6*1=6. Therefore you need 6 cups of sugar to make 6 dozen cookies.
There are 37 eight ounce of cheese.
37 times 8 = 296 ounces of cheese.
There are 16 ounces in a pound, so divide.
296/16 = 18.5 pounds on the shelf.
Then he places 24 ounce of cheese on the shelf. Divide that by 16.
24/16 = 1.5 pounds.
Add the pounds together-
18.5 + 1.5 = 20 pounds (lbs)
The solution of simultaneous equations is x=4 and y = -1.
<h3>What are
Simultaneous equations?</h3>
Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.
We can solve simultaneous equations by various methods. here we will solve it by elimination method.
Here we have two simultaneous equations
3x -2y = 14 --- (i)
and 4x + 3y = 13---(ii)
Now multiplying (i) by 3 and (ii) by 2 we get
9x -6y = 42 and 8x + 6y = 26.
Now adding both we get
17x = 68 ⇒ x = 68/17 ⇒ x = 4.
Substituting the value of x in (i), we get
3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.
Therefore, the values of x and y are 4 and -1 respectively .
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<u>NOTE</u> : The question given here is not complete. The complete question is given below.
Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.
