Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
m∠bre + m∠bre = 90°
m∠bre = 45°
Then, for the relationship of bre and tap, we have the equation,
m∠bre + m∠tap = 180°
45° + m∠tap = 180°
m∠tap = 135°
The measure of tap is equal to 135°.
Break down the problem into these two equations;
x = -31
-x = -31
Solve for the 1st equation; x = -31
x = -31
Solve for the 2nd equation; -x = -31
x = 31
Collect all solutions
x = ±31
Check the solution
When x = -31, the original equation; |x| = -31 does not hold true. Thus, we will drop x = -31 from the solution set.
Check the solution again;
When x = 31, the original equation |x| = -31 does not hold true as well. Thus we will drop x = 31 from the solution set.
Therefore,
<u>No solution exists to this equation. </u>
Answer:
The no. of student failed is 36.
Step-by-step explanation:
Given, the number of student enrolled= 216
Let us suppose number of student failed = x
Given,
no. of student passed is 5 times no. of student failed.
Then, no. of student passed = 5x
x +5x = 216
6x = 216
x = 216/6
x = 36
Thus, the no. of student failed is 36.
(3j, 3k) and (3/j, 3k)
So if their x values have the same signs and their y values have the same signs, they are in the same quadrant.
If j is negative, both 3j and 3/j would be negative. If j is positive then both 3j and 3/j are positive.
And 3k is the same as 3k.
Answer:
Step-by-step explanation:
Hi Millie.
First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.
Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.
