Answer:
lesser x = -6
greater x = 12
Step-by-step explanation:
(x - 3)^2 - 81 = 0
(x - 3)^2 = 81
x - 3 = +/- 9
x - 3 = 9 or x - 3 = -9
x = 12 or x = -6
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
Answer: 8.25 miles
Step-by-step explanation:
12.75 - 4.5 = 8.25
1.corresponding
2.alternate exterior
3.alternate interior
4.vertical angles
5.supplementary