Step-by-step explanation:
the slope = (0+15)/(-1-4)=15/(-5)= -3
the Equation :
y+15= -3(x-4)
or
y+15 = -3x+12
y +3x=12-15
3x + y = -3
so, the correct answer is II only
ABC is an isosceles triangle so AB = BC
Plug in
x + 4 = 3x - 8
-2x = - 12
x = 6
AC = x = 6
Answer
6 units
Assume the following:
Brad has been in the soccer team for b years.
Scot has been in the soccer team for s years.
"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"
means: b=5s-2
"in total,the boys have been on the soccer team for 10 years."
means: b+s=10
so we have the equations:
i) b=5s-2
ii) b+s=10
substitute b in ii) with 5s-2, as they are equal, from i
(5s-2)+s=10
5s-2+s=10
6s=12
s=2,
then , from b+s=10, b=8
Answer: Brad has been in the team for 8 years.
Answer:
4 2/5
Step-by-step explanation:
22 foot roll of streamer to make 5 streamers
If they are cut into equal sizes then the length of each streamer is calculated as follows
= 22/5
= 4 2/5
Hence the length of each streamer is 4 2/5
Answer:
a). x = 9
b). m∠ABC = 27°
c). m∠CBD = 153°
Step-by-step explanation:
1). Property of linear pair of angles states, "sum of linear pair of angles is 180°"
3x + (15x + 18) = 180°
18x + 18 = 180
18x = 180 - 18
18x = 162
x = 9
2). m∠ABC = 3x°
= 3×9
= 27°
3). m∠CBD = (15x + 18)°
= (15×9 + 18)°
= (135 + 18)°
= 153°
