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2 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

Mathematics

1 answer:

TEA [102]2 years ago

7 0

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

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Levart [38]

Answer:

Option 3

y + 16 = 8(x + 2)

Step-by-step explanation:

<h3><u>Given</u>;</h3>

x = 2, 4, 6, 8
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Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 2

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So, Option 1 is incorrect

Now, Put the values in equation 3

y + 16 = 8(x + 2)

For x = 2 and y = 16

y + 16 = 8(x + 2)

16 + 16 = 8(2 + 2)

32 = 8(4)

32 = 32

Here, L.H.S = R.H.S

Check other values of x and y

For x = 4 and y = 32

y + 16 = 8(x + 2)

32 + 16 = 8(4 + 2)

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Here, L.H.S = R.H.S

For x = 6 and y = 48

y + 16 = 8(x + 2)

48 + 16 = 8(6 + 2)

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Here, L.H.S = R.H.S

For x = 8 and y = 64

y + 16 = 8(x + 2)

64 + 16 = 8(8 + 2)

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80 = 80

Here, L.H.S = R.H.S

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<u>-TheUnknownScientist 72</u>

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2 years ago

Read 2 more answers

Hello can you help meee

VARVARA [1.3K]

Answer:

$x=4\sqrt{2}$

Step-by-step explanation:

The given triangle is a 45°-45°-90° triangle. Use the following rule:

$leg=leg\\\\hypotenuse=leg*\sqrt{2}$

The length of the legs is 4. Insert this value into the equation:

$h=4*\sqrt{2}$

Simplify:

$h=4\sqrt{2}$

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7 0

3 years ago

Makeeya only has $25 to spend on a custom T-shirt. It costs $10 for a plain T-shirt, and there is a charge of $$1.50 for each sq

kodGreya [7K]

Answer:

10 square inches

Step-by-step explanation:

cost of a plain t-shirt = $10

cost of 1 square inch of design addition = $1.50

let there be x square inches of design

then cost of x square inches of design = x*cost of 1 square inch of design

= 1.50*x = 1.5x

Total cost for t-shirt with x square inches of design = cost of a plain t-shirt + cost of x square inches of design = 10 + 1.5 x

It is given that Makeeya has only $25, then total cost which can be afforded by him will be $25 only

Thus,

10 + 1.5 x = 25

=> 1.5x = 25-10 = 15

=> x = 15/1.5 = 10

Thus, Makeeya can put 10 square inches of design on her T-shirt.

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3 years ago