Answer:
x = 4
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the remote interior angles.
18x +5 = (46) +(-1 +8x)
10x = 40 . . . . . . . . . . . . . subtract (5+8x) from both sides, simplify
x = 4 . . . . . . divide by 10
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<em>Additional comment</em>
The exterior angle is (18)(4) +5 = 77°. The marked unknown interior angle is -1+(8)(4) = 31°. The sum of the two remote interior angles is 46°+31° = 77°. The unmarked interior angle is 180°-77° = 103°.
Answer:
c) 30
Step-by-step explanation:
since the lines are parallel, 75° = 2x + 15°
this is because when two parallels lines are intersected by the same line, all respective angles are equal. Also, opposite angles on a line are equal too.
So now that u have 75 = 2x + 15, just solve for x by simplifying:
75 = 2x + 15
60 = 2x
30 = x
so the answer is c) 30
hope this helps!
Haha I have no clue sorry
Step-by-step explanation:
Explanation:
First, we must solve the equation for y to determine the slope: y = 2x + 3/2
By looking at the coefficient in front of x, we know that the slope of this line has a value of 2. To fine the slope of any line perpendicular to this one, we take the negative reciprocal of it:
slope = m , perpendicular slope = – 1/m
slope = 2 , perpendicular slope = – 1/2
