Answer:
81.5
Step-by-step explanation:
Answer:
1400
Step-by-step explanation:
Given: Cost of Regular ticket = $9.50
Cost of Matinee tickets= $7
Total number of people= 5000
Total spending in watching movie= $44000.
Lets assume total number of people attended matinee be "x".
∴ Number of people attended Regualr show= 
We know, total cost= 
Now, forming an equation to show total spending on tickets.
⇒ 
Using distributive property of multiplication to multiply 9.50 with 5000 and -x.
⇒ 
⇒ 
Adding both side by 2.5x
⇒ 
subtracting both side by 44000
⇒ 
Dividing both side by 2.5
⇒
∴
Hence, number of people attended the matinee show are 1400.
Answer:
An ISOSCELES TRIANGLE
Step-by-step explanation:
Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.
Distance between two points is expressed as:
D = √(x2-x1)²+(y2-y1)²
For side |AB|:
A(-5, 4) and B(4, 1)
|AB| = √(4-(-5))²+(1-4)²
|AB| = √9²+3²
|AB| = √90
For side |BC|
B(4, 1), and C(1, -8)
|BC| =√(1-4)²+(-8-1)²
|BC| = √3²+9²
|BC| = √90
For side |AC|:
A(-5, 4) and C(1, -8).
|AC| = √(1-(-5))²+(-8-4)²
|AC| = √6²+12²
|AC| = √36+144
|AC| = √180
Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.
