X = length of shortest side
Therefore the remaining sides will be x +2 and x + 7
x + x + 2 + x +7 = 45
3x + 9 = 45
3x = 36
x = 12
x + 2 = 14
x + 7 = 19
The sides are 12, 14, and 19 cm. long. Hope this helped!
The compound inequality represents the situation is r > 4 and r ≤ 4.1
<h3>Compound inequality</h3><h3 />
- r must be greater than 4 cm
r > 4
r ≤ 4.1
Therefore, r > 4 and r ≤ 4.1 is the compound inequality which represent the situation.
Learn more about compound inequality:
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75 - 3 every half hour so minus 6 every hour,
between noon and 4pm, there are 4 hours
4*6 = 24
75 - 24 = 51
The probability that a student is not on probation is (224 - 79)/224 = 145/224.
The probability that a student who is not on probation is not satisfied with advisement is 21/145.
The required probability is therefore given by:

The answer is 3/32.
<u>Given</u>:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
<u>Measure of ∠ABO:</u>
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;

Substituting the values, we get;

Simplifying, we get;


Thus, the measure of ∠ABO is 22°