A. 9
B. 24
C. 6
D. 16
Step-by-step explanation:
Given ratios are;
A. 2 : 3 = 6 : x
Product of mean = Product of extreme
Dividing both sides by 2
B. 4 : 7 = x : 42
Product of mean = Product of extreme
Dividing both sides by 7
C. 2x : 48 = 3 : 12
Product of extreme = Product of mean
Dividing both sides by 24
D. 12 : 15 = x : 20
Product of mean = Product of extreme
Dividing both sides by 15
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 )
ANSWER AT THE BOTTOM BELOW
