Do 6000/120 (since 120 is very close to 118.5). Thus, you get 50.
Answer:
Option D is correct.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, and , and is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
2.5*6.4=16, 2.5*4.8=12. 12+12+16+16=56
To find the solutions, set the equation equal to 0. You get
. We are going to factor our things that both terms have in common, a 2, and an x. This gives you
. How do you know this is true? If you distribute back out, you get the same as the original problem.
Now set these both equal to zero. 2x = 0, 2x + 17 = 0. Divide both sides by 2, you get one solultion of x = 0. For the other solution, subtract 17 from both sides; 2x = - 17. Divide by 2, x = -17/2
Your solutions are x = {- 17/2, 0}
To check, plug these back into the original equation to see if they equal zero. 4(0)^2 + 34(0) = 0 + 0 = 0
4(- 17/2)^2 + 34(- 17/2) = 289 + (- 289) = 289 - 289 = 0