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Leno4ka [110]
3 years ago
5

I need help on this question

Mathematics
2 answers:
BaLLatris [955]3 years ago
5 0

Well this decagon has 10 equal sides so all we have to do is divide 360 by 10 to find the measure of the interior angles. 360/10 = 36 So the interior angles are 36º

I hope this helps

-Ayden

MatroZZZ [7]3 years ago
3 0

The interior angles are 36 degrees.

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
(6e-3f-3/4) in a equivalent expression​
pashok25 [27]

Answer:

Step-by-step explanation:

(6e-3f-3/4) contains two terms which do not involve fractions and one fractional term (3/4).

We can safely remove the parentheses.  Then:

(6e-3f-3/4)  =>  6e - 3f - 3/4

That is "an equivalent expression."

We could go further and create one equivalent fraction.  Multiply the first two terms by 4/4, obtaining:

24e    12f       3           24e - 12f - 3             3(8e - 4f - 1

------ - ------ - -----  =>  ----------------------  =>  -------------------

  4       4         4                     4                             4

Other equivalent expressions exist here.

4 0
2 years ago
(845,230) +-834 -0.4556=
Levart [38]
<span>(845,230) +-834 -0.4556= </span>844395.5444

7 0
3 years ago
Read 2 more answers
What quadrilateral always has 4 congruent angles and opposite that are congruent and paralle
nignag [31]
Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares.
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3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18,
Alona [7]

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

4 0
3 years ago
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