Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
We first determine the height that the top of the ladder will reach given that the angle to be made is no greater than 75°. In the right triangle formed, the hypotenuse is 12. The trigonometric function that is derived from the scenario is,
x = (sin 75°)(12 ft) = 11.59 ft
Thus, the highest point that the ladder will reach should only be approximately equal to 11.59 ft.
Answer:
992×16=15872 is your answer
992
×16
_____
5952
+9920
_______
15872
Answer:
Step-by-step explanation:
<u>Coordinates of the points C and D:</u>
The point E has coordinates of (x, y).
The point E is at 3/4 of CD from C and 1/4 of CD from the point D.
<u>Find coordinates of E:</u>
- x = -3 + 1/4(1 + 3) = -3 + 1 = -2
- y = -4 + 1/4(6 + 4) = -4 + 2.5 = -1.5
Answer:
equation is y = x+4
Step-by-step explanation:
m = 1
y = mx + b
3 = 1*(-1)+b
3 = -1+b
b = 4
so
again
y = mx+b
y = 1x +4
so y = x+4
