What is the value of x? Enter your answer in the box.

Mathematics

2 answers:

Stels [109]2 years ago

7 0

Use (n - 2) × 180 to find the sum of the measures of the interior angles of the polygon, where n = number of sides of the polygon.
The polygon has 7 sides, so plug 7 in for n.

(7 - 2) × 180 = 900
The sum of the interior angles of this 7-gon is 900°.

Now that we know this, make an equation where all the interior angles add up to 900, then solve for x.

∠A + ∠B + ∠C + ∠D + ∠E + ∠F + ∠G = 900° ⇒
146 + 122 + 142 + 140 + 110 + 142 + x = 900
802 + x = 900
Subtract 802 from both sides.

x = 98°

pshichka [43]2 years ago

4 0

Hello!

The sum of all angle measures in a heptagon in 900°. We will subtract all of these angles from 900 to find our answer.

900-146-122-142-140-110-142=98

x=98°

I hope this helps!

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An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

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From the information provided, we have the following values;

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Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

$x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}$

Read more on quadratic equation here: brainly.com/question/4053652

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