Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
X axis is the ones that goes left and right
(x,y)
symetric about the x axis means that the vertical distance from the x axis is the same for 2 points that are symetric about the x axis
y is height
(x,y)
(5,2)
2 is height
distance from x axis
therefor the other point is -2
(5,-2)
the other vertex is at (5,-2)
Answer:
96π
Step-by-step explanation:
V=96π
Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = 
Answer:
Step-by-step explanation:
z = 3
2y + z = 1
2y + 3 = 1 {substituting z =3}
2y = 1 -3
2y = -2
y = - 2/2
y = -1
2x +3y +2z = 13
2x + 3 * (-1) + 2*3 = 13 { {substituting z =3} and y = -1}
2x -3 + 6 =13
2x + 3 = 13
2x = 13 - 3
2x= 10
x = 10/2
x = 5
