Answer:
72 cm
Step-by-step explanation:
You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x
.
This means 
, so 
.
Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and , you can square 
to get the area. This is equal to 
or 72 cm.
Answer:
The correct answer is b.)
Step-by-step explanation:
Given:
Sequence -7, -4, -1, 2, 5....... => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5
We conclude that this sequence is arithmetic series.
First we must find difference d:
d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3
d = 3
The formula for n-th term of the arithmetic series is:
aₙ = a₁ + (n-1) d
aₙ = -7 + (n-1) 3
God with you!!!
Answer:
I don't know I need the answer choices
Step-by-step explanation:
Answer:
<76
Step-by-step explanation:
Remark
You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.
Properties
<ABG = x Given
<ABG = <BGF Alternate interior angles are equal.
<BGF = x Substitute
x + 2x - 9 = 180 Consecutive angles in a ||gram equal 180 degrees.
3x - 9 = 180 Add 9 to both sides
3x - 9 +9 = 180 +9
3x = 189 Divide by 3
x = 63
<DHG = 2x - 50 Given
<DHG = 2*63 - 50 Substitute for x
<DHG = 76
<IDC = 76
<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.
