ΔBAC ≅ ΔDAC by ASA congruency
Step-by-step explanation:
Congruency of any triangle can be proved by either of these four criteria. These include
SSS, SAS, ASA, AAS where S= sides and A= Angles
In the given figure ΔBAC & ΔDAC
Since the line, AC is a common angular bisector of ∠BAC and ∠DAC
∴ ∠BAC = ∠DAC ∵ AC is an angular bisector and bisects the ∠BAD into two halves
∠BCA=∠DCA ∵AC is an angular bisector and bisects the ∠DCB into two halves
AC=AC ∵Common side
∴ ΔBAC ≅ ΔDAC ⇒by Angle-Side-Angle (ASA) congruency criterion
Answer:
Step-by-step explanation:
Using the one sample proportion test:
z = (p-P) / √{P (1-P)/n}
Where p = 709/2640= 0.27, P = 0.29, n= 2640
Thus z = (0.27-0.29) / √{0.29 (1-0.29) / 2640}
z = (-0.02) / √{0.29(0.71) /2640}
z = (-0.02) / √0.00007799
z = (0.02) / 0.0088
z = 2.27
To be able to draw a conclusion, lets find the p value at the 0.1 level of significant: p value is 0.2327. The result is significant as the p value is greater than 0.1 thus we will fail to reject the null and conclude that there is not enough statistical evidence to prove that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 29%
Answer: 25
Step-by-step explanation: -5 x 25 + 13 = -112
