Answer:
1 to 4
Step-by-step explanation:
I don't think u want the explanation
Answer:
-23
Step-by-step explanation:
1. When multiply a positive number by a negative number, the answer will always be negative.
2. When we multiply any number by 1, that number will stay the same.
Therefore, the answer is -23!
You only have the % and you need the number. For example i got a 87% on my Math test what is that as a decimal? The answer is 0.87 because you move the decimal ahead 2 numbers.
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
Answer:
Step-by-step explanation:
Let
w ----> the amount of weight lost in pounds
we know that
The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week
so
The linear equation that represent this situation is
solve for w
subtract 2,312 both sides
