Answer:
5x-7
Step-by-step explanation:
= -8x - 12 - 3x + 5
= -8x - 3x - 12 + 5
= 5x-7
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
63,889 rounded to the nearest hundred is 63,900
When two angles are supplementary, that means that the sum of their individual angles is equal to a straight line, which is 180°. If you add another restriction where the two supplementary angles are equal, then each vale of the angle constitutes half of 180°. Then, that means that ∠A = ∠B = 90°. The answer is C.
Answer:
n = 1 second formula
n = 0 first formula
Step-by-step explanation:
I answer this in the other question you put, here it is again.
This is easy to get. We know the sequence cause it follows a pattern of 8, so let's try some values of n from 1 to 4, to get those numbers with the first formula:
n = 1,2,3,4
f(1) = 8(1) + 2 = 10
f(2) = 8(2) + 2 = 18
f(3) = 8(3) + 2 = 26
f(4) = 8(4) + 2 = 34
As you can see, with the first formula, the first term is 10, and not 2. The only way to get 2 with n = 1 is with the second formula:
f(1) = 8(1) - 6 = 2
f(2) = 8(2) - 6 = 10
f(3) = 8(3) - 6 = 18
f(4) = 8(4) - 6 = 26
With n = 1, the second formula was better and correct.
The first formula could be right only beggining with n = 0. Here is the proof:
f(0) = 8(0) + 2 = 2