Find the slope and y-intercept of the line that is parallel to y = 3x - 3 and passes through the point (-2,-7)
1 answer:
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m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°
Solution:
Line intersect at a point W.
Given .
<em>Vertical angle theorem:</em>
<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>
<u>To find the measure of all the angles:</u>
∠AWB and ∠DWC are vertically opposite angles.
Therefore, ∠AWB = ∠DWC
⇒ ∠AWB = 138°
Sum of all the angles in a straight line = 180°
⇒ ∠AWD + ∠DWC = 180°
⇒ ∠AWD + 138° = 180°
⇒ ∠AWD = 180° – 138°
⇒ ∠AWD = 42°
Since ∠AWD and ∠BWC are vertically opposite angles.
Therefore, ∠AWD = ∠BWC
⇒ ∠BWC = 42°
Hence the measure of the angles are
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.
The value of f(-6) is -12.2
Explanation:
Given that the function
We need to determine the value of f(-6)
The value of f(-6) can be determined by substituting the value for in the function and simplify the function.
Hence, let us substitute in the function, we get,
Let us apply the rule , we get,
Multiplying the numbers, we get,
The value of
Substituting the value of , we get,
Subtracting the denominator, we have,
Dividing, we have,
Rounding off to the nearest tenth, we have,
Thus, the value of f(-6) is -12.2
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