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.
The missing length in the right triangle as given in the task content is; 156.
<h3>What is the missing length indicated?</h3>
It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
Read more on Pythagoras theorem;
brainly.com/question/343682
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Answer:
x = 2
Step-by-step explanation:
2 to the second power is 4. 4 subtracted by 4 is zero.
the more years the money stays invested, the more interest it earns, so clearly, if the compounding cycle is the same for both options, and the rate of 7% is the same as well for both, then the one with more years will give more interest..
so depends on what "best" means in this context, but if it's more interest earned, 3 years gives more interest than 2 years of course.
First add the seconds you have 45 +5+10 seconds which equals 60 seconds or 1 minutes. Now add the minutes 9 + 7 + 12 minutes = 28 minutes then add that 1 minutes that you got from the seconds 28 + 1 minute = 29 minutes 7:40 + 20 minutes = 8:00 + 9 minutes = 8:09 am. So Marsha arrived to school at 8:09 am. Comment if you have any questions.
