Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
We can find the approximate measurement of angle ABC and it is equal to 180°. The summation of all angles in a triangle is 180°.
Solving for x or angle B, we need to used Pythagorean theorem and SOH CAH TOA.
Solving for angle A:
sinA = 10.5/20
A = 31.67°
Solving for angle B:
180° = ∠C + ∠B + ∠A
180° = 90° + ∠B + 31.67
∠B = 58.33°
The x value is 58.33°.
Cos x = 5 / 9 ==》 Cos x = 0.55
==》 x = 56 degrees
