Answer:
∠T = 135°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
∠T + ∠S = 180
However, ∠T = 3∠S, hence
3∠S + ∠S = 180
4∠S = 180 ( divide both sides by 4 )
∠S = 45°, hence
∠T = 180° - 45° = 135°
All four sides are congruent.
The perimeter of a rectangle, is all of the sides added up.
In a rectangle, there are two widths (right and left), and two lengths (up and down)
So:
Perimeter = 2 × width + 2 × length.
To get the equation we just substitute in the values that we are given:
length = (x)
width = (x - 4)
perimeter = 87
So just put these values into: perimeter = 2 × width + 2 × length:
87 = 2(x) + 2(x - 4)
_____________________________
Answer:
The equation is: 87 = 2(x) + 2(x - 4)
<em>(note: this can be simplified down like so:</em>
<em>87 = 2x + 2x - 8</em>
<em>87 = 4x - 8</em>
<em>95 = 4x</em>
23.75 = x
)
Answer:
7
Step-by-step explanation:
Listing the factors of each number is one way, that is
factors of 35 : 1, 5, 7, 35
factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42
The common factors are 1 and 7
The GCF is therefore 7
100% - 25% = 75%
75% = $33
________ : 3
25% = $11
________ × 4
100% = $44
