Step-by-step explanation:
angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)
therefore,
2x + 10 = 226 - 4x
6x = 216
x = 36
hence,
angle 2 = 2(36) + 10 = 82deg
Topic: Angles
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There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In
and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:

Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
brainly.com/question/20517835
Answer:
I believe C, or the answer you have chosen, is correct.
Step-by-step explanation:
In this question, we add like, AKA similar, terms.
There is nothing to match x^2, so we leave it alone and put it at the head of equation since it has the highest power:
x^2
There is nothing to match -x, so we also leave it alone and put it next to x^2, keeping its sign:
x^2 - x
We can add 1 and 5 to get 6, so we put 6 next to the -x to get our final equation:
x^2 - x + 6.
See how easy that was? :) Hope this helps you and you get a good grade on your test!!
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64x² - 36 factors to be (8x + 6)(8x - 6)
Option C is your answer.
HOWEVER, I cannot tell what the operation is supposed to be performed because of the way it is showing up above (see attached pic). So I can also just simplify it.
64x² - 36 becomes 4(16x² - 9) or 4(4x - 3)(4x + 3)
64x² + 36 becomes 4(16x² + 9)