Answer:
When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.
Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Assume two sides of a triangle are:
And the angle between the two sides is:
When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:
Notice that the sides and angles do not change.
Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Step-by-step explanation:
Answer:
D
0.4
Step-by-step explanation:
P(A)=0.6
P(B)=0.3
P(B∩A)=0.5
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A or B)=P(A∪B)=0.6+0.3-0.5=0.9-0.5=0.4
Answer:
b = ±16
Step-by-step explanation:
Normally to find the number we add to make it a perfect square
We take the coefficient of x
b
Divide by 2
b/2
Then square it
(b/2) ^2
In this case, we are adding 64
(b/2) ^2 = 64
Take the square root of each side
sqrt((b/2) ^2) = sqrt(64)
b/2 = ±8
Multiply each side by 2
b/2*2 = ±8 *2
b = ±16
The problem above can be shown on a tree diagram as shown below
Question a)
Let C represents the five-star recruit who chooses one of the best three conferences
Let S represents the scholarship offer
P(C∩S) = 0.75×0.93 = 0.6975
Question b)
P(C'∩S) = 0.75×0.07 = 0.0525
Question c)
The two events are independent because it is possible for the events to happen in any order and one event's outcome does not affect the other event's.
Answer:
Depth = 3.3 inches
Step-by-step explanation:
Given that the shape of the satellite looks like a parabola
The equation of parabola is given as follows

Where
a= 13
Therefore


Lets take (13 , y) is a
Now by putting the values in the above equation we get


y=3.25 in
Therefore the depth of the satellite at the nearest integer will be 3.3 inches.
Depth = 3.3 inches