I need help please you haft to use elimination to solve thanks
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°.
Answer:
Step-by-step explanation:
Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:
<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>
- <u />
- Directrices ->
- Foci ->
where
Since we are given our directrices of and foci of
, then we can set up the directrices equation to solve for
:
Now we can determine to complete our equation for the hyperbola:
Therefore, our equation for our hyperbola is
