See those lines that are pependicular
meanins that those lines are same legnth
in triangle, if 2 sides are same measure legnth then the angles oposite those sides are same measure
therefor top right and top left angle is 42
remember that vertical angles are congruent
remmeber all angles ad to 180 in a triangle
so therefor look at top triangle
top right angle is 42
top left is 42
bottom must be x
total is 180 so
42+42+x=180
84+x=180
minus 84 fromboth sides
x=96
answer is 96 degrees
Answer:
C, A
Step-by-step explanation:
If you would like me to explain, I could but this would be difficult. Trust me.
Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
Answer:
(3,3)
Step-by-step explanation:
Using the midpoint formula:
Hope this helps!
