Answer:
y = 25 degrees
Step-by-step explanation:
We start with 115° and x -
115° + x = 180°
x = 180° - 115°
x = 65°
The sum of all of the angles of a triangle will <em>always</em> be 180 degrees -
x + y + 90° = 180°
We substitute x with 65° -
65° + y + 90° = 180°
y = 180° - 65° - 90°
y = 90° - 65°
y = 25°
Answer:
C. They have the same chance of winning.
Step-by-step explanation:
Probability (2 tails) = 1/2 * 1/2 = 1/4
Probability( 2 heads = 1/2 * 1/2 = 1/4.
Therefore the Probability they match = 1/4 + 1/4 = 1/2.
The probability of they don't match = 1 - 1/2 = 1/2 because all probabilities add up to 1. There are only 4 possible results and their probabilities must add up to 1.
The measure of angle J is 19.8°, and the correct option is D.
<h3>What is the formula of cosine?</h3>
The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
Hence, the measure of angle J is 19.8°, and the correct option is D.
Learn more about law cosine here;
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If a number equals the same number, there are infinite solutions
Example: 5=5, which is true, so there are infinite solutions
If a number equals a different number, there are no solutions
Example: 5=2, which isn’t true
