Well I solved it and This is what i got
Answer:
B. 6 cookies
Step-by-step explanation:
<u>Given</u> :
- 9 cookies
- 2/3 of them are chocolate chip
<u>Number of chocolate chip</u>
- Total x fraction of chocolate chip
- 9 x 2/3
- 3 x 2
- 6 cookies
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 ·
Answer:
The equation of the line AB is y - x -4 = 0
Step-by-step explanation:
The points are A (10,14) and B(2,6)
Now, slope of the line AB : 
or, 
= 
So, slope of the equation AB = 1
Now, by SLOPE INTERCEPT FORM:
The equation of line is given as : y - y0 = m (x-x0)
So,the equation of line AB is y - 6 = 1(x-2)
or, y - 6 -x + 2 = 0
or, y - x -4 = 0
Hence, the equation of the line AB is y - x -4 = 0
Without seeing the picture, we don't know how DE and UV are related.
