Answer:
Step-by-step explanation:
First, let's find the value of x.
Note that the two equations with the x are alternate interior angles. Therefore, their angle measures are equivalent. So, we can write the following equation:
Solve for x. Let's add 38 to both sides:
Subtract 3x from both sides:
Divide both sides by 2. So, the value of x is:
We can see that we have a right triangle.
The sum of the three interior angles of a triangle is always 180. Therefore, we can write that:
Since we already know that x is 17, substitute 17 for x. This yields:
Now, we can solve for y. Multiply:
Combine like terms:
Evaluate:
Subtract 117 from both sides:
Divide both sides by 7. So, the value of y is:
And we're done!
Answer:
51 correct : 9 incorrect = 17 correct / 9 incorrect
35 girls : 15 boys = 7 girls / 3 boys
Step-by-step explanation:
51 correct : 9 incorrect,
= 51 : 9
= 51 / 9
= 3 x 17 / 3 x 3
= 17 / 3
= 17 correct / 9 incorrect
35 girls : 15 boys
= 35 : 15
= 35 / 15
= 5 x 7 / 5 x 3
= 7 / 3
= 7 girls / 3 boys
75 cense more on each nacho than normal/hope i helped
Answer:
116 2/3 liters of milk
Step-by-step explanation:
4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk
I hope this was good enough. Happy mathing!
Answer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A