<span>You are told that the two angles are supplementary. That means that when you add the measure
of angle A (call it mA) and the measure of angle B (call it mB) the resulting sum is 180 degrees.
This relationship can be written in equation form as:
.
mA + mB = 180
.
You are also told that the two angles are congruent. This means that their measures
are equal. You can write this relationship as the equation:
.
mA = mB
.
From this second equation you can see that wherever you have mA you can substitute mB
in its place because they are equals. So go back to the equation:
.
mA + mB = 180
.
In place of mA substitute mB. This makes the equation become:
.
mB + mB = 180
.
On the left side you can see that the sum is 2 times mB or 2*mB. Make this simplification
to get:
.
2*mB = 180
.
To solve for mB divide both sides of this equation by 2. When you do that division the
equation reduces to:
.
mB = 180/2 = 90
.
This tells you that the measure of angle B is 90 degrees, and that means that the measure
of angle A is also equal to 90 degrees because the two angles are congruent.
I hope this helps!</span>
Using a linear function, it is found that the cats will be 490 meters apart in 3 minutes.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- Initially, they are 10 meters apart, hence b = 10.
- They go in opposite directions, each at a speed of 80 meters per minute, hence, each minute, they get 160 meters apart, which means that m = 160.
Hence, the equation for their distance after x minutes is:
d(x) = 160x + 10
For 3 minutes, we have x = 3, hence:
d(3) = 160(3) + 10 = 490.
The cats will be 490 meters apart in 3 minutes.
You can learn more about linear functions at brainly.com/question/24282972
Answer:
x = 20
Step-by-step explanation:
These angles are vertical angles.
Vertical angles are congruent!! So we set them equal to one another.
2 + 3x = 62
-2 -2
3x = 60
---- ---
3 3
x = 20
$55.00 is the interest due
