A closed dot mean "greater than or equal to" or "less than or equal to"
An open dot means "less than" or "greater than"
In this case, an open dot would mean
X>-2
Since AS is a height issued from A and the perpendicular bisector of [MP] at the same time (given), so the triangle AMP is an isosceles triangle of vertex A. Then, AM=AP
MS=SP ( AS bisects MP as stated in the given )
AS is a common side between triangles ASM and ASP
Therefore, triangles ASM and ASP are congruent (SSS)
Answer:
The proof is explained step-wise below :
Step-by-step explanation :
For better understanding of the solution see the attached figure :
Given : ABCD is a Parallelogram ⇒ AB ║ DC and AD ║ BC
Now, F lies on the extension of DC. So, AB ║ DF
To Prove : ΔABE is similar to ΔFCE
Proof :
Now, in ΔABE and ΔFCE
∠ABE = ∠FCE ( alternate angles are equal )
∠AEB = ∠FEC ( Vertically opposite angles )
So, by using AA postulate of similarity of triangles
ΔABE is similar to ΔFCE
Hence Proved.
Answer: answer 40.
Step-by-step explanation:
Note : lets make x the missing denominator.
I would take the 4/5 and set it equals to 32/x
we then cross multiply
where it would be 4 * x = 32 * 5
it would then be 4x = 160
we would then divide 160 by 4
x = 160/ 4
and x would be 40
.... therefore the missing denominator is 40.
Answer:
1/4
Step-by-step explanation:
-1/2 (2/2) -> -2/4
-2/4 + 3/4 = 1/4