Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 9 ← is in slope- intercept form
with slope m = - 4
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 
, hence
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (4, 5) into the partial equation
5 = 1 + c ⇒ c = 5 - 1 = 4
y = x + 4 ← equation of perpendicular line → C
Answer:
All of them are correct except for number 15
Step-by-step explanation:
Number 15 is D.
Answer: 312 students purchased a ticket
Step-by-step explanation:
Let x represent the number of raffle tickets sold to parents.
Let y represent the number of raffle tickets sold to students.
The school sold 371 tickets. This means that
x + y = 371
x = 371 - y
The parent tickets cost $6 each and the student tickets cost $1.50 each and the school raised a total of $822. This means that
6x + 1.5y = 822 - - - - - - - -1
Substituting x = 371 - y into equation 1, it becomes
6(371 - y) + 1.5y = 822
2226 - 6y + 1.5y = 822
- 6y + 1.5y = 822 - 2226
- 4.5y = - 1404
y = -1404/-4.5
y = 312
x = 371 - y
x = 371 - 312
x = 59
