Answer:
x=2
Step-by-step explanation:
Here what we need is that the ratios be equal, which is:
x:(5/2) = 8:10 or, what is the same:
x/(5/2) = 8/10
Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:
2x/2(5/2) = 2x/5
Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:
2(2x)/2(5) = 4x / 10
So, we transformed x/(5/2) in 4x/10, and both are the same, so we can replace it on our first equation:
4x/10 = 8/10
As both denominators are equal, we can concentrate only in numerators:
4x = 8
Dividing both sides by 4:
x = 2
So, for x=2 both ratios are equivalents.
Answer:
56
Step-by-step explanation:
A∆ = BH/2
Area of a parm is BH (base x height) so we multiply area of triangle by 2.
28 x 2 = 56. There you go
Answer:
AE = 15 cm; ED = 18 cm; AD = 15 cm (given)
Step-by-step explanation:
ΔBEC ~ ΔAED so ...
AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE
Substituting given numbers (lengths in centimeters), we have ...
15/10 = 1 + 5/BE
1/2 = 5/BE
BE = 10
Similarly, ...
1/2 = 6/CE
CE = 12
Then the unknown sides are ...
AE = AB + BE = 5 + 10 = 15 . . . cm
ED = CE + CD = 12 + 6 = 18 . . . cm
The circumference of the new disc 160Π that is 10 time of old circumference.
Step-by-step explanation:
Given,
Circumference of circular disc = 16Π (pi = Π)
Let, the radius of the circle be 'r'
Formula
The circumference of a circle with r radius = 2 Π r
According to the problem,
2 Π r = 16Π
or, 2r = 16 ( by eliminating the value of Π from both the side)
or, r = 8
Now, we multiply the radius by 10
so, the new radius is 8 X 10 = 80
Now the circumference = 2 Π X 80
= 160Π
Hence, the new circumference also will be 10 times of the older one.
