Step-by-step explanation:
part 1 : explaining how to get the coordinates of B
part 2 : the gradient of BD
Just "plug n chug" as my teacher would say. In other words, replace the letters with the values.
Choice A is (7,19) which means x = 7 and y = 19. Let's replace the x and y value with these numbers in both equations. If we get a true equation, then we found the answer.
2x-y = -5
2*7-19 = -5
14-19 = -5
-5 = -5 ... true
So that works. Let's try the other equation
x+3y = 22
7+3*19 = 22
7+57 = 22
64 = 22 ... false
So choice A is NOT the answer because of this. Let's try out choice B
2x-y = -5
2*4-9 = -5
-1 = -5 ... false
so B doesn't work either. How about C?
2x-y = -5
2*8-21 = -5
-5 = -5 ... that works
x+3y = 22
8+3*21 = 22
71 = 22 ... but this is false
So D has to be the answer. Let's check to confirm or not
2x-y = -5
2*1-7 = -5
-5 = -5 ... true
x+3y = 22
1+3*7 = 22
22 = 22 ... true
BOTH equations are true at the same time so (1,7) is definitely the final answer
Answer:
-3
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
(5x + 12)° + (6x - 8)° = 180°
(5x + 12 + 6x - 8)° = 180°
(11x + 4)° = 180°
11x + 4 = 180
11x = 180- 4
11x = 176
x = 176/11
x = 16
Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
