Hello.
In your question, we can see that the points Q, P, and R can be assumed that they are in a straight line, meaning that the angle measures will add up to 180 (think of half a circle, which is 360 degrees).
This means that every angle added up will add up to 180 degrees.
Meaning we can set up the below equation:
After finding , we can plug it back in to each expression for each angle measure.
∠QPS =
∠SPT =
∠TPR =
Hope this helps!
Answer:
59.5%
Step-by-step explanation:
119 squares are shaded out of 200
The model shows 5 groups of 3. Because there are 3 bars in 5 groups. I hope this helped!!
The population in the year 2020 is 4628
<h3>How to determine the population?</h3>
The given parameters are:
Initial, a = 12910
Rate, r = 5%
Since the population decreases, then we make use of an exponential decay function.
This is represented as:
f(n) = a * (1 - r)^n
So, we have:
f(n) = 12910 * (1 - 5%)^n
Evaluate the difference
f(n) = 12910 * 0.95^n
2020 is 20 years from 2000.
So, we have:
f(20) = 12910 * 0.95^20
Evaluate
f(20) = 4628
Hence, the population in the year 2020 is 4628
Read more about exponential functions at:
brainly.com/question/14355665
#SPJ1
For a system of linear equations to have no solution, they must be parallel. If you imagine the graph of two parallel lines, they can never intersect, meaning there cannot be a solution/a point that is on both lines.
For two lines to be parallel they must have the same slope, so the m value of both equations are the same. The b value can be any value you want, as long as they don't have the same b value (or else they'd be the same line! and the same lines have an infinite number of solutions).
One pair could be:
y=3x+3 and y=3x+9
But you can come up one yourself you'd like :)