Step-by-step explanation:
Given : AD=CD and
∠3=∠4
To prove : Line DB bisects ∠ABC
i.e.∠ABD=∠CBD
Proof : Consider ΔABD and ΔCBD,
and
and
So, ΔABD ≅ ΔCBD (By SAS criterion}
Hence , By CPCT (corresponding part of congruent triangle}
∠ABD=∠CBD
Therefore, Line DB bisects ∠ABC.
Answer: 9
Step-by-step explanation: subtract 60 from each side to get -72 = -8x = 9
Answer:
2.236
Step-by-step explanation:
this is very easy. try using a calculator. I just use googles calculator
Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5
The area of the game room is 864 square feet