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torisob [31]
2 years ago
11

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

Mathematics
2 answers:
Zanzabum2 years ago
7 0

Answer:

20 units

Step-by-step explanation:

took the test

antoniya [11.8K]2 years ago
6 0

The perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

<h3>What a quadrilateral?</h3>

A quadrilateral is simply a polygon with four sides, four angles, and four vertices.

To get the perimeter, we simply add the values of the four side.

Given that;

The vertices are at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

To get the dimension between the given coordinates, we use;

 d = √((x2 -x1)² +(y2 - y1)²)

For length CD, DE, EF and FC

CD = √((2 - (-2))² + (4 - 1)²) = √( 16+9) = √25 = 5

DE = √((5 - 2)² + (0 - 4)²) = √( 9+16) = √25 = 5

EF = √((1 - 5)² + (-3 - 0)²) = √( 16+9) = √25 = 5

FC = √((-2 - 1)² + ( 1 - (-3))²) = √( 9+16) = √25 = 5

Perimeter of the quadrilateral = CD + DE + EF + FC

Perimeter of the quadrilateral = 5 + 5 + 5 + 5

Perimeter of the quadrilateral = 20units

Therefore, the perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

Learn more about area of rectangle here: brainly.com/question/27612962

#SPJ1

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Alex17521 [72]

The last answer, because the class is being divided into four groups. So the class number is not known, thus it is represented by “w” and divided by four.

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2 years ago
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olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C  = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

<u>The value of x:</u>

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

\angle A+\angle C=180^{\circ}

Substituting the values, we have,

2x+3+2x+1=180

             4x+4=180

                   4x=176

                     x=44

Thus, the value of x is 44.

<u>Measure of ∠A:</u>

Substituting x=44 in ∠A = (2x + 3)°, we get,

\angle A=(2(44)+3)^{\circ}

     =(88+3)^{\circ}

\angle A=91^{\circ}

Thus, the measure of angle A is 91°.

<u>Measure of ∠C :</u>

Substituting x=44 in ∠C = (2x + 1)°, we get,

\angle C=(2(44)+1)^{\circ}

     =(88+1)^{\circ}

\angle C=89^{\circ}

Thus, the measure of angle C is 89°.

<u>Measure of ∠D :</u>

Substituting x=44 in ∠D = (x - 10)°, we get,

\angle D=(44-10)^{\circ}

\angle D=34^{\circ}

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0
3 years ago
Someone please help me
Lesechka [4]

If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS

8 0
3 years ago
Help me pls thank you alot!
damaskus [11]
Your answer will be -1/7
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2 years ago
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Degger [83]

Answer: girl no

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