Step-by-step explanation:
We will have: P as Peaches and M as Mangoes
We now have: P + M = 4568 and P - 1654 = M (or M + 1654 = P)
=> Therefore, P + M = M + 1654 + M = 4568
=> 2M = 2914
=> M = 1457
=> P = 1457 + 1654 = 3111
a/ There are 1457 mangoes.
b/ There are 3111 peaches.
Let the base angle be x. If the obtuse angle is two and a half times the base angle, it will be 2.5x. In a triangle, all three angles will add up to 180. The third angle, the other base angle will be equal to x. So the equation will be:
x + x + 2.5x = 180
2x + 2.5x = 180
4.5x = 180
x = 40
If x = 40, then 2.5x = 100
11.) All you've got to do is subtract thirty-eight(38) from eighty-one(81). This will result in 43.
81-38=43
12.) You've got to subtract eighty-seven(87) from ninety(90) which will give you the answer 3.
87-90=3
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.