Step-by-step explanation:
left to right.
the smallest numbers are on the left, the largest in the right.
all the numbers in the line are sorted.
so, going from left to right the numbers get continuously larger (no exception), and when going from right to left, they get continuously smaller.
remember that the negative numbers are smaller than the positive numbers. so, the negative numbers (if there are any in your case) are on the left side.
and negative numbers get smaller by "seemingly increasing" : -1 is larger than -2 and so on.
so, the range of the negative numbers starts on the left side with the "largest" negative number (but when you think about it, it IS the smallest number) and their absolute value gets smaller until they reach 0, and then the positive numbers start from small to large.
this also asked to fractions and mixed fraction numbers :
e.g. -2 1/2 is smaller than -2 and larger than -3.
because it is -2 + -1/2 = -2 - 1/2 = -2 1/2.
in that sense it is the same principle as with positive numbers :
2 1/2 = 2 + 1/2
-2 1/2 = -2 - 1/2
Had to do a bit of guesswork to figure out what you're asking here. If you're given the 2 angles pi/4 and pi/6, you can find any trig function of either angle.
The sine of pi/4 is 1 / sqrt(2); the cosine is the same.
The cosine of pi/6 is sqrt(3) / 2; the sine of pi/6 is 1/2.
If this isn't quite what you were looking for, try paraphrasing your question to make it clearer.
Answer:
x = 5 and z = 108
Step-by-step explanation:
We have two intersection lines and since z and 108 lie opposite each other, they are called vertical angles. By definition, vertical angles are congruent to each other, so that means z = 108.
Now, notice that z and 6x + 42 lie on the same line. A line has a measure of 180 degrees, which means that these two will add up to 180 (they are supplementary angles). Then we can write:
z + (6x + 42) = 180
We already know that z = 108, so plug that in and solve for x:
108 + (6x + 42) = 180
6x + 150 = 180
6x = 30
x = 5
Thus, x = 5 and z = 108.
Answer:
240
Step-by-step explanation:
bruh all you have to do is (11+5)*15
Start by putting whole numbers together and fractions together;
5-2 + 2/7-5/7
3+(-3/7)
=3-3/7
=21/7-3/7
=18/7
=2