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viktelen [127]
2 years ago
13

Which of these best describes the hypotenuse-angle theorem?

Mathematics
2 answers:
Pie2 years ago
6 0

Answer:

Option D is correct.

Step-by-step explanation:

The hypotenuse angle theorem states that - if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

So as per definition, option D is correct.

d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Amiraneli [1.4K]2 years ago
5 0
The hypotenuse angle theorem<span> basically states that if the hypotenuse and an acute angle of one right triangle</span><span> are congruent to the </span>hypotenuse<span> and an acute </span>angle<span> of another right triangle, then the two triangles are congruent.

So I would say D is correct</span>
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Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  

8 0
2 years ago
Which expressions are equivalent to -6+4q+(-6q)
enot [183]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic cen
aliya0001 [1]

Answer:

<h2>C(V(r)) = 3.2πr3</h2>

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions V(r)= \pi r^{3} and C(V)=3.2V, where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

C(V(r))=3.2(\pi r^{3} )

Therefore, the right answer is the last choice.

8 0
3 years ago
The cost C (in dollars) of producing x DVD players is represented by C = 4.5x2. How many DVD players are produced if the cost is
lisabon 2012 [21]

Given the following equation representing the cost of producing DVD Players:

\text{ C = 4.5x}^2

Let's determine the number of DVD players produced if the cost is $544.50

\text{ C = 4.5x}^2\text{ \$544.50 = 4.5x}^2\text{ }\frac{\text{\$544.50}}{\text{ 4.5}}\text{ = }\frac{\text{4.5x}^2}{\text{ 4.5}}\text{ 121 = x}^2\text{ }\sqrt{\text{121}}\text{ = }\sqrt{\text{x}^2}\text{ 11 = x}

Therefore, it'll cost $544.50 to produce 11 DVD Players.

The answer is 11.

3 0
1 year ago
Which of the following expressions is equivalent to 7y + 21 ?
Nikolay [14]

Answer:

the answer is 7 ( y + 3) hope this helped

8 0
2 years ago
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