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kupik [55]
3 years ago
12

One angle of an octagon is 65º. Theothers are equal to each other. Find them.​

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
8 0

Answer:

42 1/7 degrees

Step-by-step explanation:

65+7x=360

7x=295

x=42 1/7

Bumek [7]3 years ago
5 0
  • Answer:

<em>x = 145°</em>

  • Step-by-step explanation:

<em> the sum of interior angles of octagon formula</em>

<em>S = (n - 2)×180°</em>

<em>n = 8</em>

<em>S = (8 - 2)×180°</em>

<em>S = 6×180°</em>

<em>S = 1080°</em>

<em>we have 1 angle = 65° & others are equal to each other</em>

<em>1080° - 65° = 7x</em>

<em>7x = 1015°</em>

<em>x = 1015° : 7</em>

<em>x = 145°</em>

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Answer:

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Step-by-step explanation:

Divide by 2, subtract 8 ...

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slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

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Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

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If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

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And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

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Step-by-step explanation:

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