Answer:
your answer should be 45
Step-by-step explanation:
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.
It's 28 pounds. 3,500/125 = 28 pounds.
Answer:
remainder = 6
Step-by-step explanation:
Hope it helps.....
Answer:
The solution set for the inequality is the interval (-4, 5)
Step-by-step explanation:
-8 < 8 + 4x < 28
Subtracting 8:
-8 -8 < 8 + 4x - 8 < 28 - 8
-16 < 4x < 20
Dividing by 4:
-16/4 < 4x/4 < 20/4
-4 < x < 5
x ∈ (-4, 5)