3(x + 1) + 6 = 33
3(x + 1) = 33 - 6 = 27
x + 1 = 27/3 = 9
x = 9 - 1 = 8
x = 8
Answer:
<em>The required values are a = 29°, b = 20°</em>
Step-by-step explanation:
<u>Angles and Lines</u>
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
Answer:
$80.49
Step-by-step explanation:
39.95 + 17.99 x 2
17.99 x 2 = 35.98
35.98 + 39.95 = 75.93
75.93 + 6% = 80.49
Answer:
A
Step-by-step explanation:
Calculate the midpoint using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (5, 5)
midpoint = [ 0.5(- 1 + 5), 0.5(5 + 5) ]
= [ 0.5(4), 0.5(10) ] = (2, 5 ) → A