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.
Answer:
6 weeks
Step-by-step explanation:
Given that :
Nikki :
Initial amount = $1100 ;
Amount spent per week = $35
Mich:
Initial amount = $520
Amount saved per week = $55
Number of weeks they'll both have the same amount :
Let number of weeks = w
For Nikki who is spending :
1100 - 35w - - - (1)
For Mich who is saving :
520 + 55w - - - (2)
Equate (1) and (2)
1100 - 35w = 520 + 55w
1100 - 520 = 55w + 35w
580 = 90w
w = 580 / 90
w = 6.444
About 6 weeks
Answer:
Step-by-step explanation:
a= 2qr^3 quotent 6p^2
Answer:
The answer is sometimes.
If the two lines have the same slope, then there will be 0 solutions, and if the two lines are the same, then there will be infinite solutions.
Hope this helps!
