The pic is the question so plss help mee
1 answer:
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ANSWER
The value of x is,
EXPLANATION
We were given that the opposite angles of a parallelogram are
and 
.
The opposite angles of a parallelogram are equal.
We can write the equation below in x and use to find the value of x.
We group like terms to obtain,
This implies that,
We divide both sides of the equation by 2 to obtain,
The value of x is,
EXPLANATION
We were given that the opposite angles of a parallelogram are
The opposite angles of a parallelogram are equal.
We can write the equation below in x and use to find the value of x.
We group like terms to obtain,
This implies that,
We divide both sides of the equation by 2 to obtain,
Answer: 8 feet, D
Step-by-step explanation:
To solve this, use the Pythagorean Theorem. It states:
where A and B are the sides of a triangle and C is the triangle's hypotenuse.
The 17 foot ladder in this situation is your hypotenuse, and you have one side of the triangle: 15.
15 squared = 225
17 squared = 289
solving for b squared, we get
taking the square root of 64, you get 8 feet, the distance between the house and the base of the ladder.
Answer:
The interpolating polynomial is .
Step-by-step explanation:
We want to find a quadratic polynomial such that
,
and
. In order to do this let us write
.
Now, evaluating the polynomial in the points -1, 1 and 2 we get
This relations give us a linear system of equations:
where the ,
and
are the unknowns.
The augmented matrix of the system is
In this matrix it is easy to eliminate the 1's of the first column and get
From this matrix we can find the values of each unknown. Notice that the second row gives us that yields
.
Then, the third row means that gives
. So,
.
Finally, the first row is and substituting is
that yields
.
Therefore, the interpolating polynomial is
.