Answer:
point (-2,11) does not lie on the given line
Step-by-step explanation:
To find : Which of the following points does not lie on the line ?
Solution :
To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.
a) Point (1,8)
Line y=3x+5
Substitute x=1 and y=8
8=3(1)+5
8=8
(1,8) point lie on the line.
b) Point (4,12)
Line y=3x+5
Substitute x=4 and y=17,
17=3(4)+5
17=12+5
17=17
(4,17) point does not lie on the line.
c) point (-2,11)
Line y=3x+5
substitute x=-2 and y=11
11=3(-2)+5
11=-6+5
11 is not equal to -1
d) Point(0.5)
Line y=3x+5
Substitute x=0 and y=5
5=3(0)+5
5=5
Answer:
root(x+6) +3
Step-by-step explanation:
so you see that it is moved 2 left and 5 up
so root (x+6) +3
Hi Bre,
Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8
We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.
From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°
-Hope this helps!
Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14