Can you please attach the photo?
Answer:
2
Step-by-step explanation:
<u>Since it is AP, the common difference is same for any term:</u>
- (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
- 3x - 3 = 2x -1
- 3x - 2x = 3 - 1
- x= 2
<u>The first 3 terms are:</u>
<u>Since the last term is 18, it means this AP has 6 terms:</u>
<u>Answer: </u>as we need to find the value of x only, it is = 2
<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
_____
All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
Answer:
x = y = 104°
Step-by-step explanation:
The sum of the interior angles = 360°
The opposite angles x and y are congruent , that is y = x , then
92 + 60 + x + x = 360
152 + 2x = 360 ( subtract 152 from both sides )
2x = 208 ( divide both sides by 2 )
x = 104
Then
x = y = 104°
