These angles, 110º and 7xº, are examples of supplementary angles. Supplementary angles are angles that, when added together, produce a sum of 180º. This means 110º + 7xº = 180º.
With this equation, 110º + 7xº = 180º, we can isolate the variable and solve for x to answer this question.
110º + 7xº = 180º The first step to solve for x is to subtract 110º from both sides of the equation. 110º + 7xº - 110º = 7xº 180º - 110º = 70º
7xº = 70º Since we want 1xº instead of 7xº, we need to divide both sides by 7. 7xº / 7 = xº 70º / 7 = 10º
xº = 10º Now we have our solution! The value of x is 10º.
Let's check this to be sure. 7xº, when added to 110º, must equal 180º since 7xº and 110º are supplementary angles. 7xº + 110º = 180º We found that x is 10º. 7(10)º + 110º = 180º 7 • 10 = 70 70º + 110º = 180º 180º = 180º This works! That means that x = 10º is in fact the correct answer.
Y = ( x - 3 )² + 4 Vertex of the parabola: ( 3, 4 ) y = - x + b 4 = - 3 + b b = 7 Equation 2: y = - x + 7 ( x - 3 )² + 4 = - x + 7 x² - 6 x + 9 + 4 = - x + 7 x² - 5 x + 6 = 0 x - 2 x - 3 x + 6 = 0 x ( x - 2 ) - 3 ( x - 2 ) = 0 ( x - 2 ) ( x - 3 ) = 0 x 1 = 2, x 2 = 3 y 1 = 5, y 2 = 4
