Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
Answer:
x =12
Step-by-step explanation:
1/2x + 3 = 2/3x + 1
1/2 = 3/6 ; 2/3 = 4/6
3 - 1 = 4/6x - 3/6x
2 = 1/6x
x = 12
Answer:
she need to pay is $550.40
Step-by-step explanation:
given data
interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105
future value = $7000
time = 3 year = 3 × 4 = 12 months
to find out
How much money she need to pay
solution
we will apply here formula for future value for compound quarterly
that is
future value = principal × 
.............1
put here all these value
future value = principal ×
7000 = principal × 
principal = 550.40
so she need to pay is $550.40
Answer:
82.5 sq ft
Step-by-step explanation:
paralaalallelomgram area = b*h so the b is the base and base is 10 and h is the height and height is 8.25 so 10 & 8.25 = 82.5 sq ft
