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2 years ago

Show that in a quadrilateral ABCD, AB+BC+CD+DA<2(BD+AC)

Mathematics

1 answer:

Snezhnost [94]2 years ago

7 0

Step-by-step explanation:

We know that the length of the diagonals will be more than the side.

Lets suppose the quadrilateral is a rectangle, with sides 6 and 4.

The length of a diagonal is:

√(6*6)+(4*4)

√36+16

√52

7.21(rounded off to 3 sig. fig.)

So, 6+4+6+4<2(7.21+7.21)

20< 2*14.42

20<28.84, which is true.

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If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side

Rudik [331]

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

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2 years ago

What is the square root of 18

kifflom [539]

Answer:

4.24

Step-by-step explanation:

looked it up on google

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3 years ago

Find the value of x.

Ainat [17]

Answer:

$\textsf{x=22.5}$

Step-by-step explanation:

$\textsf{According to intersecting tangent - secant theorem,}$

$\textsf{x=1/2[(4x+5)-50]}$

$\textsf{2(x)=4x+5-50}$

$\textsf{2x=4x-45}$

$\textsf{2x-4x=-45}$

$\textsf{-2x=-45}$

$\textsf{x= -45/-2}$

$\textsf{x=22.5}$

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2 years ago

What number can I put in the denominator?<br> 1<br> 8<br> 7

Zigmanuir [339]

Answer:

The LCD denominator is 1

Step-by-step explanation:

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2 years ago

darcy needs 1/4 yard of fabric to make a banner. She has 2 yards of fabric. How many banners can she make?

kotegsom [21]

Darcy can make 8 banners.

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3 years ago

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