<h2>
Answer:</h2>
28.7cm²
<h2>
Step-by-step explanation:</h2>
The sketch of the parallelogram is attached to this response.
As shown in the sketch,
h is the height of the parallelogram
ADC is 125°
AD = 5cm
CD = 7cm
<em>Also</em>
Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;
=> ADC + BCD = 180°
=> 125° + BCD = 180°
=> BCD = 180° - 125°
=> BCD = 55°
The area (A) of a parallelogram is given by;
A = b x h ----------(i)
Where
b = base of the parallelogram
h = height of the parallelogram
From the sketch,
b = CD = 7cm
h can be found by using the sine trigonometric function as follows
sin BCD =
=> sin 55° =
=> h = 5 sin 55°
=> h = 5 x 0.8192
=> h = 4.096cm
Now, substitute the values of h and b into equation (i) as follows;
A = 7 x 4.096
A = 28.672
A ≅ 28.7 (to one decimal place)
Therefore, the area of the parallelogram is 28.7cm²
The answer would be D because BCA = B’C’A. You can find the answer by matching the order of the letters in the angle which.
Answer:
The area is rational because the numbers in the formula are rational.
Step-by-step explanation:
All repeating decimals are still rational because they can be expressed as fractions. For example,
So every recurring decimal must be a fraction.
Also every terminating decimal can be represented as a fraction.
0.25 =
So the area is rational because the numbers are rational.
Area = X Base X Height
Base is Rational and Height is Rational. Hence Area=Rational.
When these rational numbers are substituted into the formula,the area must be rational.
Line:
3x+y=7
y=-3x+7
Slope of Perpendicular Line: 1/3x
For the perpendicular line to contain point (6,-1) the y-intercept would be (0,1), thus the equation of the line would be y=1/3x+1
y=1/3x+1