Answer:
B = 53.13
Step-by-step explanation:
Since this is a right triangle, we can use the tan function
tan B = opposite side/ adjacent side
tan B = 4/3
Take the inverse tan of each side
tan ^-1 (tan B) = tan^-1 (4/3)
B = 53.13010235
To the nearest hundredth
B = 53.13
This has to do with ratio's.
MQ : QN = 2 : 5
MQ : QN = LP : PN
2 : 5 = 3 : PN
That means PN = 15/2
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:
A yes
B yes
C No
D No
Step-by-step explanation:
If it is a function then the first number in the ordered pair is use only one time.
Step-by-step explanation:
you need to substitute the x in (7x +2y=13) with (x=2y+11) to solve it
