Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
Answer:
it is heptagon and sum of interior angles of heptagon is 900 °
123°+131°+ 125°+124°+x 129°+132° = 900°
764° +x = 900 °
x = 900°-764°
x = 136°
Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
