Answer:
You forgot to show the picture or questions
Step-by-step explanation:
Answer:
<h3>m∠1 = 49°</h3><h3>m∠2 = 63°</h3><h3>m∠3 = 87°</h3><h3>m∠4 = 44°</h3>
Step-by-step explanation:
m∠1 = 49° (Opposite Angles)
m∠1 + m∠2 + 68° = 180° (The sum of all interior angles of any triangle is equal to 180°)
49° + m∠2 + 68° = 180°
m∠2 + 117° = 180°
m∠2 = 180° - 117°
<u>m∠2 = 63°</u>
m∠3 + 93° = 180° (The angles on a straight line add up to 180°)
m∠3 = 180° - 93°
<u>m∠3 = 87°</u>
m∠4 + 49° = 93° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
m∠4 = 93° - 49°
<u>m∠4 = 44°</u>
Answer:
5x -7y = 21
Step-by-step explanation:
A sketch can convince you that BC is a transversal perpendicular to parallel lines AB and CD. The question asks for an equation for CD, so we just need to write the equation of a line through D that is parallel to AB.
One way to do this is to equate the slopes of the parallel lines:
∆y/∆x for AB = ∆y/∆x for CD
(y2 -y1)/(x2 -x1) = (y -2)/(x -7) . . . . . . where (x1, y1) = A; (x2, y2) = B; (7, 2) = D
(4 -(-1))/(1 -(-6)) = (y -2)/(x -7)
5(x -7) = 7(y -2) . . . . . . . . . . . . . cross multiply
5x -7y = 21 . . . . . . . . . . . . . . . . add 35 -7y, simplify
_____
Note that the graph shows the line CD is named "b", and its equation is shown at upper left. Multiplying that equation by -1 gives the one shown here.
Answer:
46800
Step-by-step explanation:
46821 nearest 100s
look for the tens it is less than 5 so its 800 and the numbers written before the 100s would remain the same