Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
Answer:
225 minutes
Step-by-step explanation:
45 min = 20% = 20/100
20 x 5 = 100
45 x 5 = 225
3.7÷(1 2/9 −0.4) = 166.5/45 ÷ 37/45 = 4.5
0.4 = 40/100 = 2/5
2/5 = 18/45
1 2/9 = 11/9 = 55/45
55/45 - 18/45 = 37/45
3.7 = 370/100 = 18.5/5 = 166.5/45
ANSWER: 4.5
Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
= 
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
= 
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a = 
≈ 22.0 ( to the nearest tenth )
(3)
= , substitute values
= 
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC = 
, then
∠ C = 
( ) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
= , substitute values
= 
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC = 
≈ 8.0 ( to the nearest tenth )
The answer would be $2.12.
The equation for this problem would look like… 2 x 1.06.
