Equation: 15 + 6t = 81
Work: 15 + 6t = 81
-15 -15
6t = 66
t = 11
Hey there!!!
Remember :
===> n⁻ˣ is equal to 1 / nˣ
In the question, it is stated n as 6 and x is 3
====> 6⁻³
... 1 / 6³
= 1 / 216
Hope my answer helps!
Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34
The answer is ratios, which are fractional numbers that represent a relationship between two values.
Answer:
m<B = 62°
Step-by-step explanation:
Given that ∆ABC is congruent to ∆TUV, it follows that their corresponding angles are equal to each other. Therefore:
m<B = m<U
m<B = (3y + 2)°
m<U = (4y - 18)°
Thus,
3y + 2 = 4y - 18
Collect like terms
18 + 2 = 4y - 3y
20 = y
y = 20
m<B = (3y + 2)°
Plug in the value of x
m<B = 3(20) + 2
m<B = 60 + 2
m<B = 62°
