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:
1 mile = 160934 cm
Step-by-step explanation:
1 mile = 1609.34 m
1 m = 100 cm
1 mile = 1609.34 * 100 = 160934 cm
Answer:
£75.53
Step-by-step explanation:
3tshirt=£17.82
2pauntbrush=£13.94
4bags of pasta=£3.52
toral=£17.82+£13.94+£3.52+£41.25=75.53
Answer:
that is right
Step-by-step explanation:
because 4×4×4 equals 64 and 6×6 equals 37 so it is 4^3>6^2
Answer:
2 < or equal to (t) < or equal to 1000
Step-by-step explanation:
2 is the profit of the (t) amount of t shirts so the amount should be greater than or equal too 1000 because if they have 500 shirts 500 x 2 is 1000