As with any triangle, the sum of angles is 180°.
(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4
(b)
Angle A = x -5 = 30 -5 = 25
Angle B = 3x +30 = 3*30 +30 = 120
You can do that by simply measuring the main angle and then measuring each of the two angles. If you bisected the angle correctly, you will find that each of the two angles is equal to half the original.
You can measure the angle by following these steps:
1- Place the straightedge on the base of the angle.
2- Slide the protractor over it until the vertex of the angle is at the zero of the protractor.
3- Measure the angle.
Answer:
tan56°
Step-by-step explanation:
The Addition identity for tangent ratio is
tan(x + y) =
, thus
= tan(24 + 32)° = tan56°
Answer:
The linear function is: p(x) = 3x+65The linear function is: p(x) = 3x+65
Step-by-step explanation:
Let x be the number of t-shirts and y be the total pay
As we can clearly see in the table that there is a linear relationship between x and y
A linear function is given as:

Here m is the gradient of the function then

Taking any two pairs of x and y
(1,68) and (2,71)

Putting in equation

Putting a pair (1,68) in the equation to find the value of b

Putting the value of b

Let p(x) be the linear function
Hence,
The linear function is: p(x) = 3x+65
Answer:
Area = pi r²
area = 22/7 × 12 × 12 = 452.57 in²