Answer:
x = 23
Step-by-step explanation:
6x+19+x = 180
7x = 180 - 19
7x = 161
x = 161/7
x = 23
Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
Answer:
relate the values and find the correct answer
Answer:
∠ N = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
6x + 1 + 3x - 10 + x + 19 = 180, simplifying
10x + 10 = 180 ( subtract 10 from both sides )
10x = 170 ( divide both sides by 10 )
x = 17
Thus
∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°
Answer:
73 Papers
Step-by-step explanation:
Let's start by finding out how many papers Mrs. Thiel has already graded.
56 + 49 = 105
Now, let's subtract how many papers she has already graded from how many she has to grade in total.
178 - 105 = 73
So, Mrs. Thiel has to grade 73 papers this evening.
