Answer:
In quadrilateral ABCD we have
AC = AD
and AB being the bisector of ∠A.
Now, in ΔABC and ΔABD,
AC = AD
[Given]
AB = AB
[Common]
∠CAB = ∠DAB [∴ AB bisects ∠CAD]
∴ Using SAS criteria, we have
ΔABC ≌ ΔABD.
∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.
∴ BC = BD.
1 ft = 12 inches
so 2 ft = (2 * 12) = 24 inches
and 1/4 ft = 1/4 * 12 = 12/4 = 3 inches
for a total of 27 inches
Step-by-step explanation:
Probability of an event is 1
and probability of non event is 0
Answer: z = 3
Step-by-step explanation: To solve this equation for <em>z</em>, we can first combine our like terms on the left side of the equation. Since 12 and 7 both have <em>z</em> after their coefficient, we can subtract 12z - 7z to get 5z.
Now we have 5z - 2 = 13.
To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.
Now we have 5z = 15.
Solving from here, we divide both sides of the equation by 5 to get <em>z</em> alone. On the left side, the 5's cancel out and we are simply left with <em>z</em>. On the right side, 15 divided by 5 simplifies to 3 so we have z = 3.