I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.
In this png, we have something to make sure.
∠B=∠DAB
∠
B
=
∠
D
A
B
(Yes, dab)
This also means AD=BD
A
D
=
B
D
.
This is our basic construction of D, which is going to help us.
∠ADC=∠DAB+∠B=2∠B=∠CAB
∠
A
D
C
=
∠
D
A
B
+
∠
B
=
2
∠
B
=
∠
C
A
B
∠CAD=∠CAB−∠DAB=∠B
∠
C
A
D
=
∠
C
A
B
−
∠
D
A
B
=
∠
B
These are based on the fact that ∠A=2×∠B
∠
A
=
2
×
∠
B
Actually these conditions suffice. Because I am just proving that △ACD∼△BCA
△
A
C
D
∼
△
B
C
A
Similarity makes us realize the following:
ACBC=ADAB
A
C
B
C
=
A
D
A
B
and
ACBC=CDAC
A
C
B
C
=
C
D
A
C
So
AC×AB=BC×AD
A
C
×
A
B
=
B
C
×
A
D
and
AC2=BC×CD
A
C
2
=
B
C
×
C
D
So
BC2=BC×(BD+CD)=BC×(AD+CD)
B
C
2
=
B
C
×
(
B
D
+
C
D
)
=
B
C
×
(
A
D
+
C
D
)
=AC×AB+AC2
=
A
C
×
A
B
+
A
C
2
Q.E.D.
2.4k Views ·
The picture shown is a unfolded rectangular prism.
The formula to find the surface area of a rectangular prism is:
A = 2(WL+HL+HW)
(W = width, L = Length, H= Height)
So we would need to determine the Height, Length, and Width first, and then plug them into the formula and solve for the area.
In this case:
The height is: 4 cm
The length is: 10.5 cm
The width is: 6.4 cm
Now that we have determined the height, length, and width, we simply plug them into the formula I showed earlier.
In this case the answer would be 269.6.
D. 269.6
The coordinates of C are (a+c, b)
Coordinates of midpoint of AC are (a+c/2, b/2)
Coordinates of BD are (a+c/2, b/2)
The first one is the answer to the question
The relationships that could have a negative correlation are as follows:
- the speed of a train and the length of time to reach the destination
- number of hours worked and free time
- speed of a car and minimum stopping distance
<h3>What is negative correlation?</h3>
Correlation between two variables shows the relationship between the two variables.
A positive correlation means that both variables move in the same direction i.e. as one increases, the other increases.
However, a negative correlation means that both variables are inversely related i.e. one increases as the other decreases.
Therefore, the relationships that could have a negative correlation i.e. inversely related are as follows:
- the speed of a train and the length of time to reach the destination
- number of hours worked and free time
- speed of a car and minimum stopping distance
Learn more about correlation at: brainly.com/question/6563788
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