Answer:
= $2,541.5
Step-by-step explanation:
I = P * T * R/100
I = 2300*7 * 1.5/100
I = $241.5
Total amount in the account will be $2300 + $241.5
= $2,541.5
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
Step-by-step explanation:
answer explained in the photo i attached
{4x - 5y = 17
{x - 5y = 8
{x = 5y + 8
{4(5y + 8) - 5y = 17
{x = 5y + 8
{20y + 32 - 5y = 17 | - 32
{x = 5y + 8
{15y = -15 | : 15
{y = -1
{x = 5 * (-1) + 8
{x = 3
{y = -1
Answer:
1/6
Step-by-step explanation:
So first you want to get the common denominators. So you want to times 1/2 by three which gives you 3/6. So if you subtract 3/6 from 5/6 you get 2/6 and if you subtract 1/6 from 2/6 you get 1/6.
