The answer for this question is: Kepner tregoe
The slope of the line is 1/3
Answer: X = 27
Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).
Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.
However angle D in the second triangle is equal in measurement to angle B in the first triangle
(Alternate angles).
Hence we have a third angle in triangle ABC which is
Angle B = 2x + 10.
Therefore 3x - 10 + (2x + 10) + 45 = 180
(Sum of angles in a triangle)
3x - 10 + 2x + 10 + 45 = 180
By collecting like terms we now have
3x + 2x = 180 + 10 - 10 - 45
5x = 135
Divide both sides by 5,
x = 27
For 7=s-9 you add 9 to both sides and the answer will be s=16.
Question: Evaluate the expression for the given value of the variable. | − 4b − 8 | + ∣ − 1 − b² | + 2b³; b = − 2
Answer:
-11
Step-by-step explanation:
What we are required to do here is to find the value of the expression assuming that variable b = -2.
Bear in mind that, where you see the symbol "| ... |", enclosing a set of terms, the absolute value after performing whatever function with the enclosed terms is what is to be found. This means, after performing the operation, if you have a negative value, simply ignore the negative sign.
Now let's evaluate at b = -2
|- 4b - 8| + ∣-1 - b²| + 2b³ (given)
|- 4(-2) - 8| + ∣-1 - (-2)²| + 2(-2)³ (substitution)
|8 - 8| + ∣-1 - 4| + 2(-8)
|0| + ∣-5| - 16
0 + 5 - 16 (absolute value of -5 = 5)
= -11
