Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
52º + 90º = 142º
142º - 180º = 38º
180º - 38º = 142º
30 30x 5x
2x+10(340/139)=-18
Answer:
To solve the equation 2x + 10(340/139) = -18, we can follow these steps:
1. Distribute the 10 to the terms inside the parentheses:
2x + (10 * 340/139) = -18
2x + 3400/139 = -18
2. Combine like terms:
2x + 3400/139 = -18
3. Move the constant term to the other side of the equation by subtracting 3400/139 from both sides:
2x = -18 - 3400/139
4. Simplify the right side of the equation:
2x = (-18 * 139 - 3400) / 139
5. Calculate the right side of the equation:
2x = (-2502 - 3400) / 139
2x = -5902 / 139
6. Divide both sides by 2 to isolate the variable x:
x = -5902 / (2 * 139)
x = -5902 / 278
x = -21.2115 (rounded to four decimal places)
Therefore, the solution to the equation 2x + 10(340/139) = -18 is x = -21.2115.
I do khan academy 2 but sorry the answer
Answer:
Option (4)
Step-by-step explanation:
It has been given in the question that angle 1 is supplementary to angle 4.
m∠1 + m∠4 = 180°
∠2 and ∠3 are the interior consecutive angles.
Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".
Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.
Option (4) will be the answer.
Given that Angle 1 and Angle 4 are supplementary, no lines can be concluded to be parallel as according to the Converse of the Corresponding Angles Postulate, the angles need to be congruent (equal), not supplementary, to infer parallel lines.
From the given information, it is mentioned that Angle 1 is supplementary to Angle 4. In geometry, supplementary angles are two angles that add up to 180 degrees. By the converse of the corresponding angles postulate, if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.
In the context of your question, since the angles given are supplementary, they add up to 180 degrees and hence are not congruent. This implies, according to the corresponding angles postulate, that no lines can be concluded to be parallel based on the provided information. This is because the postulate only holds for congruent (equal), not supplementary angles.
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