Answer: <RPS = 161
Step-by-step explanation:
P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)
<QPR+<QPS= <RPS
71+90= 161
(<QPS is a right angle. Right angles are equal to 90 degrees.)
Take the GCF (-8t) of the given expression.
You'll get -8t(2t-5).
Now, set each equal to zero and solve for x.
-8t = 0 2t-5=0
t=0 t = 5/2 (Or 2.5 seconds)
Answer:
They are similar.
Step-by-step explanation:
They are similar because, the top triangle has one more square to the height as well as the width. If you take one square away from the height and width the top triangle is the same size as the bottom triangle.
Answer:
degree measure = 360° × percent of data
Step-by-step explanation:
The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.
The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.
The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.