Answer:
180, 180, 148, 180, 148
Step-by-step explanation:
The two rules in play here are ...
- the sum of interior angles of a triangle is 180°
- the angles of a linear pair are supplementary (they total 180°)
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The first of these rules answers the first two questions:
- interior angles total 180°
- angles 1, 3, 4 total 180°
We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.
- angles 3 and 4 total 148°
The second rule answers the next question:
- angles 1 and 2 total 180°
As before, subtracting the value of angle 1 from both sides of the equation gives ...
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<em>Additional comment</em>
Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...
X + 32° = 180°
X +32° -32° = 180° -32° . . . . . . subtraction property of equality
X = 148° . . . . . . . . simplify
In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.
Domain is X and Range is Y
Total number of cards = 25 .
Total number of possible draws = 25
Number of possible successes = 5
(The successful draws are 1, 2, 3, 9, and 18.)
Probability of success = 5/25 = <em>1/5 </em> = 0.2 = 20%
Answer:
B. (5,12,13)
Step-by-step explanation:
The only answer with two side lengths that are greater than the largest side length.
Answer:
-42 ≤ x ≤ 102
Step-by-step explanation:
Compound from the fact that we're combining x≤42 and x≤102.
