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Tanya [424]
2 years ago
12

Can someone solve for x lol

Mathematics
1 answer:
posledela2 years ago
3 0

Answer:

  x = 2

Step-by-step explanation:

Assuming the figure is a rhombus, the diagonal divides the figure into two isosceles triangles. That means the marked angles are congruent:

  7x² -8 = 6x² -2x

  x² +2x -8 = 0 . . . . . . . subtract 6x²-2x

  (x +4)(x -2) = 0 . . . . . factor

  x = -4  or  x = 2 . . . . . values of x that make the factors zero

The only value of x that makes sense in this problem is ...

  x = 2

__

<em>Additional comment</em>

We know the base angles of an isosceles triangle must be less than 90°. As the attached graph shows, the angle measures for x=-4 would both be 104°, an impossible situation for this geometry.

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I need help asap!!!! Please It’s an Algebra 2 question
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Answer:

8) Real; Rational

9) Real; Rational; Integer; Whole; Natural

10) Real; Rational

Step-by-step explanation:

Real numbers consists of the subsets:

Irrational Numbers:

Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.

Rational Numbers:

Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.

Integers:

Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.

Whole Numbers:

Whole numbers is the set of natural numbers that <em>includes</em> 0. So, whole numbers are: 0, 1, 2, 3... and so on.

Natural Numbers:

Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.

8) 1.\overline{3}=1.3333...

The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.

9) \sqrt4=2

The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.

10)-3/4=-0.75

The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.

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