What could be a possible value for x ?

a. 3.5
b. 4.0
c. 4.5
d. 5.5

The answer is (a) ⇒ x = 3.5

Step-by-step explanation:

In ΔABZ use the sin rule to find ∠ABZ and ∠BAZ

∵ AB/sin50° = AZ/sin∠ABZ

∴ 8.8/sin50° = 4.79/sin∠ABZ

∴ sin∠ABZ = (4.79 × sin50) ÷ 8.8

∴ sin ABZ = 0.416971

∴m∠ABZ = 24.64°

∴ m∠BAZ = 180 - (50 + 24.64) = 105.36°

In ΔABZ use the cosine rule to find BZ

(BZ)² = (BA)² + (AZ)² - 2(BA)(AZ)cos∠BAZ

∵ (BZ)² = (8.8)² + (4.79)² - 2(8.8)(4.79)cos105.36°

∴ (BZ)² = 122.7147953

∴ BZ = 11.078

Use the cosine rule in ΔCBZ to find CZ

(CZ)²= (BC)² + (BZ)² - 2(BC)(BZ)cos∠B

∵ (CZ)² = (4.79)² + (11.078)² - 2(4.79)(11.078)cos39²

∴ (CZ)² = 63.18982803

∴ CZ = 7.949

∵ CZ = 2x + 1

∴ 2x + 1 = 7.949

∴ 2x = 7.949 - 1 = 6.949

∴ x = 6.949 ÷ 2 = 3.47 ≅ 3.5

Carbon

Step-by-step explanation:

When the power of 10 is negative, the less the exponent the bigger the number