Answer:
m∠B = 95°
Scalene
Step-by-step explanation:
by definition, internal angles in a triangle must add up to 180°
in this case,
∠A + ∠B + ∠C = 180°
we are given ∠C = 55° and ∠A = 30°
30° + ∠B + 55° = 180°
∠B = 180 - 55 - 30 = 95° (Answer)
We can see that all 3 angles of the triangle are different. And hence we can conclude that all 3 sides of the triangle are different length (i.e it is not equilateral or isosceles). Hence it is a scalene triangle.
Answer:
If the angle is 32, then the tan of 32 degrees will be 0.625.
Step-by-step explanation:
This is useful because if you know either Opposite or Adjacent length, you can enter it in the equation above and solve for the missing length.
You can also re-write the equation above to solve for Opposite and Adjacent to get the following new equations:
Opposite = 0.625 x Adjacent
Adjacent = Opposite / 0.625
Answer:
Explanation Below
Step-by-step explanation:
1. -4 + | x - 1 | = 3
= -4 + | x - 1 | + 4 = 3 + 4
= | x - 1 | = 7
= x - 1 = -7 or x - 1 = 7
= x = -6 or x = 8
2. 6 + 4 | 2x + 6| = 14
= 6 + 4 | 2x + 6 | - 6 = 14 - 6
= 4 | 2x + 6 | = 8
= 4 | 2x + 6 | / 4 = 8/4
= 2x + 6 = -2 or 2x + 6 = 2
= x = -4 or x = -2
3. -10 + | -6 - x | = 1
= -10 + | -6 + x | + 10 = 1 + 10
= | -6 - x | = 11
= -6 - x = -11 or -6 - x = 11
= x = -17 or x = 5
4. | 7 - 2x | + 4 = 5
= | 7 - 2x | + 4 - 4 = 5 - 4
= | 7 - 2x | = 1
= 7 - 2x = -1 or 7 - 2x = 1
= x = 3 or x = 4
Here are the Steps:
SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
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Answer:
y + 2 = (-4/5)(x - 3)
Step-by-step explanation:
Your slope is -4/5. Your line passes through (3, -2).
Applying the point slope formula, we get:
y + 2 = (-4/5)(x - 3)
For the domain
3-x >= 0
3 >= x
