Answer:
y =
x + 7
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 )
here m =
, hence
y =
x + c ← is the partial equation
to find c substitute (4, 9) into the partial equation
9 = 2 + c ⇒ c = 9 - 2 = 7
y =
x + 7 ← equation in slope-intercept form
Answer:
(-1, 0)
Step-by-step explanation:
output = 0 the function’s graph will have an x-intercept
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:
3675
Step-by-step explanation:
When you have two congruent figures, the vertices are listed in the same order. This means that
Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.
Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.