Answer:
The value of x = 5 units.
Step-by-step explanation:
Given the right-angled triangle ∆ABC with the following dimensions
AC = a = 12
BC = c = hypotenuse = 13
AB = b = x
Pythagorean Theorem
For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:
Thus, using the Pythagorean Theorem to determine the value 'x',
as b = x, so
so
Therefore, the value of x = 5 units.
The common difference is x
the first term is x+1
a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1
What is the equation you are solving?
The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Given that,
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
<u>step 2</u> :
The opposite sides are AB and CD respectively.
The another opposite sides are BC and AD respectively.
<u>step 3</u> :
If both pairs of opposite sides are congruent, then
AB = CD
44+3x = 64-x
3x+x = 64-44
4x = 20
x = 5
<u>step 4</u> :
BC = AD
33+y = 48-2y
y+2y = 48-33
3y = 15
y = 5
<u>step 5</u> :
Subsitute x=5 and y=5 in any of the given sides,
CD = 64-x = 64-5 = 59
∴ CD = 59 cm
BC = 33+y = 33+5 = 38
∴ BC = 38 cm
The lengths of the opposite side pairs are 59 cm , 38 cm.
Counting all of the lines, there is About 17
