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3 years ago

If ad= 20 and ac=3x+4,find the value of x.

Mathematics

1 answer:

Anna [14]3 years ago

6 0

We have AD = DC

Thus, AC = AD + AD = 20 + 20 = 40

We have:

3x + 4 = 40

3x = 40 - 4

3x = 36

x = 36 / 3

x = 12

AD= 20

AC= 40

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Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

What number is 120% of 12

Rasek [7]

120% of 12 is 14.4.I got this by doing this:

12/x=100/120
(12/x)*x=(100/120)*x - we multiply both sides of the equation by x
12=0.833333333333*x - we divide both sides of the equation by (0.833333333333) to get x
12/0.833333333333=x 
14.4=x 
x=14.4

5 0

3 years ago

Please answer will mark branliest

Flauer [41]

Step-by-step explanation:

5 tank tops= $20

5 t-shirts= $35

20/5= 4

35/5=7

7-4=3

The t-shirts are $3 more than the tank tops

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3 years ago

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Mariulka [41]

Answer:

y= -1= 3(x -3)

Step-by-step explanation:

y -y1= m(x -x1)

y -1= 3(x -3)

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2 years ago

A fish was at 1,965 feet below sea level. It then swam down to 2,327 feet below sea level. How far did the fish swim? [INTEGERS

Allisa [31]

Answer: Its negative

Step-by-step explanation:

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3 years ago