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:
50065
Step-by-step explanation:
5x500 is 2500, 5x80 is 400, 5x9 is 45. 80x500 is 40000, 80x80 is 640, 80x9 is 720. I split them all up and when you add them it makes 50065
Answer: D) Inverse does not exist
<u>Step-by-step explanation:</u>
The top row is 0 0 , which makes the determinant equal to zero.
The reciprocal of 0 is undefined so there cannot be an inverse for this matrix.
Answer:
28 bottles
Step-by-step explanation:
4 bottles per day, 7 days a week.
4 x 7 = 28 bottles
Answer:
Coordinate of Point A is (-11, 15)
Step-by-step explanation:
M -- (-3, 7)
B -- (5, -1)
Therefore, (5 + x)/2 = -3
x = -11
(-1 + y)/2 = 7
y = 15
Therefore Point A is (-11, 15)
