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.
First, how much were her songs? It's two songs each, and their separate prize was 0.99:
total prize was 2*0.99=1.98
this gets added to the membership prize:
19.99+1.98=21.97
you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.
Answer:
i belive its 12850
Step-by-step explanation:
Answer:
The number of drips per minute needed to deliver the medication at the prescribed dosage is 50 drips per minute
Step-by-step explanation:
The given parameters are;
The volume of the prescribed medication to delivered through IV = 800 mL
The duration over which the drug is to be delivered = 8 hours
The rate at which the IV delivers the medication = 30 drips/1 mL
800 mL = 800 × 1 mL
Therefore, the total number of drips in 800 mL= 800 mL × 30 drips/mL = 24,000 drips
The rate at which the drug is delivered = 800 mL/(8 hours) = 100 mL/hr = 100/60 mL/minute = 10/6 mL/minute
The total number of drips in 10/6 mL= 10/6 mL × 30 drips/mL = 50 drips
∴ The rate at which the medication needs to be delivered = 10/6 mL/minute = 50 drips/minute
The number of drips per minute needed to deliver the medication at the prescribed dosage of 800 mL/(8 hours) = 10/6 mL/minute = 50 drips per minute.
