Answer:
The value of x is -29 and the value of y is -26
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding angles and its corresponding sides are congruent
so
The length of the corresponding sides must be equal
----> equation A
----> equation B
Note
The length of one side of the triangle equal to -5 is not logical, however we will continue with the resolution of the problem for didactic purposes.
Solve the system by graphing
Remember that
the solution of the system of equations by graphing is the intersection point both graphs
using a graphing tool
The solution is the point (-29,-26)
see the attached figure
therefore
The value of x is -29 and the value of y is -26
Answer:

Step-by-step explanation:
Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.
We know that the area of a square is
where l is the length. Since we know the area, we can find the square root of the area to find the side length.
So the side lengths are
and
.
Since we know the hypotenuse is
and one of the legs is
, we can use the Pythagorean Theorem to find the missing side.
The Pythagorean Theorem states that
, where c is the hypotenuse and a/b are the legs.
We know the <em>hypotenuse </em>and <em>a leg</em>, so we can substitute inside

Squaring a square root is the same as doing nothing.

Hope this helped!
The system has Infinitely many solutions.
Step-by-step explanation:
We need to find how many solutions are there in:

Let:

Adding eq(1) and eq(2)

Since a constant term is equal to constant term, so the system has Infinitely many solutions.
Keywords: Identifying Number of Solutions
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Answer:
8x + 9
Step-by-step explanation:
The total number of people splitting the cost equally = Rocco and five friends = 6 people
The total cost to play paintball can be represented by the expression (48x+54)
The cost for each person is calculated as: The total cost to play paintball/ Total number of people
= (48x+54)/6
= 48x/6 + 54/6
= 8x + 9
Therefore, the cost for each person is
8x + 9