Answer:
70° and 110°
Step-by-step explanation:
If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘
Let A be the first angle = x°
Let B be the second angle = (1.4x+12)°
Since they form a linear pair, then
A+B = 180°
x + 1.4x+12 = 180°
2.4x = 180-12
2.4x = 168
x = 168/2.4
x = 70°
The measure of angle A = 70°
The measure if angle B = 1.4x+12
B = 1.4(70)+12
B = 98+12
B = 110°
The measure of both angles are 70° and 110°
Answer:
(8,6)
Step-by-step explanation:
All you need to do is to evaluate the location of the dot:
The format of an ordered pair is (x,y).
x is the horizontal axis, going from <em>left to right.</em> This means that Boston is 8 to the right of the center, meaning that the x value is 8.
y is the vertical axis, going from <em>down to up.</em> This means that Boston is 6 up from the center, meaning that the y value is 6.
Overall, this gives you the coordinates of (8,6).
Answer:
y = 3x - 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (6, 2) into the partial equation
2 = 18 + c ⇒ c = 2 - 18 = - 16
y = 3x - 16 ← equation of line