Answer: Please see attachment.
Solution:
We need to match the column using column proof. Please see the attachment for matching column.
In ΔDOC and ΔBOA
DO=BO (Given)
∠DOC=∠BOA (Vertically Opposite angle)
OC=OA (Given)
∴ ΔDOC ≅ ΔBOA by SAS congruence property
∠1=∠2 and AB=DC By CPCTE
Thus, AB||DC (∠1 and ∠2 are alternate angles equal then lines parallel)
ABCD is a parallelogram. ( If two sides equal and parallel then a parallelogram.
Below is matched table.
DO = OB, AO = OC ⇒ Given
∠ DOC =∠ AOB ⇒ Vertical angles are equal
∆COD ≅ ∆AOB ⇒ SAS CPCTE
∠1 = ∠2, AB = DC ⇒ CPCTE
AB||DC ⇒ If alternate interior angles =, then lines parallel
ABCD is a parallelogram ⇒ If two sides = and ||, then a parallelogram
Please see attachment for figure and matching.
Answer:
a) 0.7898
b) 0.0516
c) 0.1587
Step-by-step explanation:
Given : Mean :
Standard deviation :
Since , the police response time has a normal distribution.
The formula to calculate the z-score :-
For x=5 minutes.
For x=10 minutes.
a) The p-value =
b) The p-value =
c) The p-value =
Answer:
Step-by-step explanation:
radius of semicircle =4.7/2 m
area of semicircle=1/2 πr²
=1/2 ×π×(4.7)²
≈8.67 m²
fertiliser=8.67×20
=173.4
≈173 gm
Step-by-step explanation:
x° + 61°+ 68° + 104° = 180°
x° + 129°+104°=180°
x°+133°=180°
x°=180°-133°
x=47°