two angles are supplementary. the larger angle is 48 degrees more than 10 times the smaller angle. find the measure of each angl
2 answers:
Answer:
Smaller angle = 12° and larger angle = 168°.
Step-by-step explanation:
It is given that the two angles are supplementary. It means their sum of 180°.
Let x be smaller angle.
The larger angle is 48 degrees more than 10 times the smaller angle.
Larger angle =
Since both angles are supplementary angles, so
Smaller angle + Larger angle = 180°
Combined line terms.
Subtract 48 from both sides.
Divide both sides by 11.
The value of x is 12. It means the smaller angle is 12°.
Larger angle =
Therefore the larger angle is 168°.
You might be interested in
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."