Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
Answer:
A. The greatest one year increase in tuition ocurred from 1997 to 1998.
Step-by-step explanation:
If you look at the graph, at the points above 1997 and 1998, you'll see that the dots are separated by two lines, not just one.
Answer:
x=15
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
The equation of the given line is y = 5/6x - 2
The standard equation of a line in slope-intercept form is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept
Using the coordinate point (0, -2) and (-6, 3)
Slope m = 3-(-2)/-6-0
m = 5/6
Since the line cuts the y-axis at y = -2, hence the y-intercept is -2.
Find the equation of a line;
y = mx + b
y = 5/6x + (-2)
y = 5/6x - 2
Hence the equation of the given line is y = 5/6x - 2
Learn more on equation of a line here: brainly.com/question/7098341