What is the measurement of XZ?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Here we can see

Arc YZ = Arc XZ

So we know that equal arcs form equal chords , Then

Chord YZ = Chord XZ

8x - 5 = 6x + 10

8x - 6x = 10 + 5

2x = 15

x = 7.5

hope it helps :0

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vredina [299]

The area of ABCD is 640 cm²

<h3>What is similarity in trapezoid?</h3>

In order for two trapezoids to be similar their corresponding sides must have the same ratio. Since the largest base length in the image is and the corresponding side is , the other base must also be times greater than the corresponding side.

Given:

EF= 5 cm

AB = 20cm

Area of EFGH = 40 sq cm

Now,

As both trapezoid are similar. So, their corresponding sides must have the same ratio

EF/ AB= BC/ FG= CD/ HG= HE/ DA

So,

area (EFGH) : area(ABCD) = (EF/ AB)²

40 : area(ABCD)= (5/ 20)²

40 : area(ABCD) = 1/16

area (ABCD) =640 cm²