Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
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<h3>
Answer:</h3>
3) likely
4) 1/2; equally likely
<h3>
Step-by-step explanation:</h3>
3) You are being asked to translate a numerical value to a subjective statement. There are no hard-and-fast rules for this. Generally, the meanings of the terms you're asked to choose from are ...
- impossible: probability is zero. The outcome cannot occur.
- unlikely: chances are less than even; often, "unlikely" means a probability of 10%, 5%, 1% or lower, depending on the context.
- equally likely: probability is near 50%
- likely: more likely than not. Again, this depends on the context.
- certain: probability is 1. There is no chance the outcome will not occur.
An 80% probability is greater than 50%, so might reasonably be called "likely."
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4) a. Four of the eight numbers are even, so the probability of obtaining an even number at random is 4/8 = 1/2.
b. A probability of 50% might reasonably be called "equally likely", as the probability the event will occur is equal to the probability it won't.
The set of all months that contains less than 31 days is; {February, April, June, September, November}.
<h3>What is the set of all months that contain less than 31 days?</h3>
It follows from the task content that the set whose elements are to be determined is characterized by containing less than 31 days.
On this note, it follows that the elements of the set are; February (28/29 days), April (30 days), September (30 days), June (30 days) and November (30 days).
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