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4 years ago

Solve for x. please

Mathematics

2 answers:

Lorico [155]4 years ago

8 0

X=109

The polygon has 5 sides which makes it a pentagon

The sum of all of the angles of a pentagon equal 540 degrees.

Add all given angles (431 degrees)

Subtract 431 from 540 and you will get 109 which is X

Lisa [10]4 years ago

5 0

X is equivalent to 109

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3 years ago

Find the measure of each angle

Svetach [21]

Answer:

4x=80 and 5x=100

Step-by-step explanation:

4x+5x=180

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3 years ago

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

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Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

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3 years ago

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olya-2409 [2.1K]

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3 years ago

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