Answer:
Length of BE is 
Step-by-step explanation:
The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.
Now, the two parts of triangle have equal area ∴ ar(ADE)=ar(BDEC)
⇒ 
⇒ 
In ΔABE and ΔABC,
∠A=∠A (Common)
∠ABE=∠ABC (Corresponding angles)
By AA similarity, ΔABE is similar to ΔABC.
Hence by area side proportionality theorem
⇒ 
⇒ 
⇒ 
units
Hence, length of BE is
Answer:
1,800 bricks are needed
Step-by-step explanation:
First convert the Length and width of the sidewalk into inches
Entire Sidewalk: L= 100x12 =1200in and W= 4 x 12 = 48in
Then we know Area = LxW, so we will do this for both the sidewalk and the brick.
Area of sidewalk: 1200 x 48 = 57600
Bricks ( no need to convert since the measurements are already in inches): 8 x 4 = 32
Now we will divide the area of the entire sidewalk by the area of a single brick to find out how many bricks you need to complete the whole sidewalk:
57600/32= 1,800 bricks
Yes, because there are two pairs of congruent corresponding angles
Answer:
all of the above
Step-by-step explanation:
since there is no decimals or fractions it would be a whole number and a intger therefor it would have to be all of the above because you have to choose one
Answer:
angle OAM and OBM are right angles because tangents form right angles with radii.
AO=BO and MA=MB
Quadrilateral MAOB =360 degrees
so angles AOB and AMB=90 degrees each
angle MBF=90 degrees
M is the midpoint of FA so MA=MF
MB=MF
Triangle MBF is a right triangle because angle BMF is 90 degrees and MB=MF
