Answer:
Both equations are same
Step-by-step explanation:
The reason why this is true is not far fetched
looking at the first equation, we have;
3-x = 4
we can also factorize the second equation to look this way
By this, we shall be having
3(4) = 3(3-x)
By the time we take out the 3 from both sides, we will have the initial equation
So what we are saying is that both equations are the same
Answer:
He sold 100 rackets for $ 20
Step-by-step explanation:
To start, we have to make 2 equations, one that represents the number of rackets and the other the money
x + y = 500
x * 20 + y * 45 = 20000
we clear x in the first equation
x + y = 500
x = 500 - y
we replace x in the second equation with (500 - y)
x * 20 + y * 45 = 20000
(500 - y) * 20 + y * 45 = 20000
10000 - 20y + 45y = 20000
-20y + 45y = 20000 - 10000
25y = 10000
y = 10000/25
y = 400
we replace x in the first equation with the value obtained
x = 500 - y
x = 500 - 400
x = 100
He sold 100 rackets for $ 20
Answer:
scale factor is 1:3.5
Step-by-step explanation:
56/16 = 3.5
Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.
1. DE is equal to CD by definition since D is the midpoint of CE.
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
4x+7=35
4x=28
x=7
A corresponding solution of the matching equation is a fancier way of telling you to find the number that represents x
