Answer:

Step-by-step explanation:
the transverse axis is horizontal.
so its a horizontal hyperbola
Center is the origin so center is (0,0)
Equation of horizontal hyperbola is

Given a= 55000 and c= 81000
c^2 = a^2 + b^2
81000^2 = 55000^2 + b^2
subtract 55000^2 on both sides
b = sqrt(81000^2 - 55000^2)= 59464.27
now plug in the values

Answer:
3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate
Step-by-step explanation:
3) Statement ∠BDE ≅ ∠BAC;
Corresponding Angles Postulate
The Corresponding Angles Postulate states that given two parallel lines, in this case DE and AC cut by a transversal one (AB) than these corresponding angles are congruent.
5) ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate
If two pairs of corresponding angles are congruent (∠D and ∠A, ∠E and ∠C) than these triangles are similar.
Answer:
36
Step-by-step explanation:
Pentagon has 5 sides
The formula for finding the sum of the measure of the interior angles is (n - 2) * 180
(5-2)×180= 3×180=540
To get each interior angles
540/5 = 108
180 -108 = 72
To get x
72+72+x= 180 (sum if angles in a triangle)
144+x= 180
x = 180 -144 = 36
2. x is part of the interior angles = 108
The slope is -1 because the number beside x is always the slope and the y-intercept is 1 because the number being added or subtracted from x is always the y intercept
. The answer is 21.
Step-by-step explanation: