Answer: 12 stars
Step-by-step explanation:
First find out the number of stars he gained by scoring goals:
= Number of goals scored * Stars if goal is scored
= 5 * 3
= 15 stars
Then find out the number of stars he is to lose by missing the goal:
= No. of goals missed * stars if goal missed
= 4 * 3/4 stars
= 3 stars
The total number of stars he has are:
= Stars gained - Stars lost
= 15 - 3
= 12 stars
Remember order of operations (PEMDAS):
3•(11-1/2)
3•10.5
31.5
There’s not much information but an answer could be 6 (C) cars would be left after renting 6 (R) of them.
The sum of all the angles of a triangle is 180 degrees.
If you add 90 + 90 + 90 together you get 270. These can not be the angle measures of interior angles of a triangle because the sum is more then 180.
If you add 80 + 80 + 200 together you get 360. These can not be the angle measures of interior angles of a triangle because the sum is more then 180.
If you add 40 + 50 + 60 together you get 150. These can not be the angle measures of interior angles of a triangle because the sum is less then 180.
If you add 15 +30 + 135 together you get 180! This set of angle measures can the be interior angles of a triangle!
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC = 
= 5,09902
BD = 
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
