What is the approximate measure of angle T in the triangle below? 2.7 cm
3.9 cm
4.3 cm
[Not drawn to scale)

Angle T = 79°

Step-by-step explanation:

From the question given above, the following data were obtained:

Side opposite U (u) = 2.7 cm

Side opposite S (s) = 3.9 cm

Side opposite T (t) = 4.3 cm

Angle T =?

The value of angle T can be obtained by using cosine rule as illustrated below:

t²= s² + u² – 2suCosT

4.3² = 3.9² + 2.7² – 2 × 3.9 × 2.7 × Cos T

18.49 = 15.21 + 7.29 – 21.06 × CosT

18.49 = 22.5 – 21.06 × CosT

Rearrange

21.06 × Cos T= 22.5 – 18.49

21.06 × Cos T = 4.01

Divide both side by 21.06

Cos T = 4.01 / 21.06

Cos T = 0.1904

Take the inverse of Cos

T = Cos¯¹ 0.1904

T = 79°

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

no solution

step-by-step explanation:

there is not enough information in the problem to solve.