Good afternoon,
First side= 8cm
Third side= x
Second side= 2x-4
We know that the sume of the lenghts of any two sides must be greater than the third side, so:
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Answer: Third side= x ; where: x>4 or (4,+infinity) Second side= 2x-4 ; </span><span>
where: x>4 or (4,+infinity)</span>
Answer:
47
Step-by-step explanation:
x-5=42
x=42+5
x=47
To solve 10x-35+3ax=5ax-7a, we'll need to assume that a is a constant and that we are to solve for the variable x. To accomplish this, group all the x terms together on one side and all of the no-x terms on the other:
10x + 3ax - 5ax = -7a + 35
Factoring x out of the left side, we get:
x(10 - 2a) = 7(5 - a). Dividing both sides by (10 - 2a), we get:
7(5 - a)
x = ------------ = 7/2
2(5 - a)
x has the value 7/2.
Answer: The area is 268 cm squared (approximately)
Step-by-step explanation: The area of a parallelogram is given as ;
Area = b x h
Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;
Sin 79 = opposite/hypotenuse
Sin 79 = h/13
By cross multiplication we now have
Sin 79 x 13 = h
0.9816 x 13 = h
12.76 = h
With the vertical height now known, we can calculate the area as follows
Area = b x h
Area = 21 x 12.76
Area = 267.96 cm squared
