Answer:
The correct answer is B. y = -1/4x + 11/16
Step-by-step explanation:
In order to find this, we must plug in the slope and the point into point-slope form. We can then solve for slope intercept form.
y - y1 = m(x - x1)
y - 1 = -1/4(x - -5/4)
y - 1 = -1/4(x + 5/4)
y - 1 = -1/4x - 5/16
y = -1/4x + 11/16
Answer:
Step-by-step explanation:
<u>Statement 1</u>:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
<u>Statement 2</u>:
True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.
<u>Statement 3</u>:
False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.
<u>Statement 4</u>:
False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.
<u>Statement 5</u>:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
<u>Statement 6</u>:
False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.
Well first you have to make variables for each number.
1st - x
2nd - y
3rd - z
first sentence says twice first number so 2x. is means equals so =. eleven more than sum of the other two numbers. sum of other two numbers is (y + z) and eleven more than that is (y + z) + 11. So so this sentence says:
2x = (y + z) + 11
second sentence says sum of twice the first and three times third. twice first is 2x and three times third is 3z. their sum would be (2x + 3z). It it says is one more than second number. So = (y + 1). So so this means:
(2x + 3z) = (y + 1)
third sentence says second number (y) is is equal to sum of first and third (x + z). so;
y = (x + z)
now for the work.
We we can easily solve for a by subtracting the first 2 equations. the way to subtract 2 equations is by subtracting one left side of equal sign from the other equations left side and then doing the same with the right side.
So we will subtract the 1st and second equations we made.
So so left sides would be
2x - (2x + 3z)
2x - 2x - 3z
-3z
right side would be:
y + z + 11 - (y + 1)
y + z + 11 - y - 1
z + 10
now put the sides with an equal sign
-3z = z + 10
-4z = 10
z = -2.5
now we can plug in z into the equations and subtract second and third equations. But but we will subtract opposite sides. So so left minus right and right mi is left after we plug in z:
(2x + 3 (-2.5)) - (x + (-2.5))
2x - 7.5 - x + 2.5
x - 5
other one would be
(y + 1) - y
1
So so put an equal sign and get:
x - 5 = 1
x = 6
now plug x and x into 3rd equation
y = x + z
y = 6 + (-2.5)
y = 3.5
now we have values. You can check answer by plugging values into other 2 equations
Answer:
z = 94
x = 7
Step-by-step explanation:
The angle with a measure of 94° and the angle labeled "z" are vertical angles
Vertical angles are congruent ( equal to each other )
Which means that because "z"s vertical angle = 94° z also equals 94°
The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles
Supplementary angles add up to equal 180
Hence, 94 + 12x + 2 = 180
^ (Note that this is the equation we will use to solve for x )
Now we solve for x
94 + 12x + 2 = 180
step 1 combine like terms
94 + 2 = 96
we now have 180 = 96 + 12x
step 2 subtract 96 from each side
180 - 96 = 84
96 - 96 cancels out
we now have 84 = 12x
step 3 divide each side by 12
84 / 12 = 7
12x / 12 = x
we're left with x = 12
Answer:
Step-by-step explanation:
look this solution
