<h3>
Answer: 55</h3>
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The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
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Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
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Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
Answer:
1
Step-by-step explanation:
Try the question without the absolute value brackets first.
Then it would be 3+2-6
Since it states "x-y" and y is -2, then it would be 3+2 since a negative times a negative becomes a positive
Same thing for "z", instead of +6 it would be -6 because a negative times a positive is still a negative
Now, 3+2-6 is -1 but MAKE SURE to put the absolute value brackets back. Making the answer a positive number. Therefore, it would be 1
Answer:
Step-by-step explanation:
a1 = 6
a2 = 10
a3 = 14
The next member of the sequence is 4 more than the current sequence. Therefore d = 4
a1 = 6
d = 4
n = 13
an = a1 + (n - 1)*d
an = 6 + (n - 1)*4
a_13 = 6 + 12*4
a_13 = 6 + 48
a_13 = 54
