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Degger [83]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

x = √21.

Step-by-step explanation:

Triangles ADB and BCD are similar.

So their corresponding sides are in the same ratio:

x / 7 = 3 / x

x^2 = 21

x = √21.

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Please help me! Need answer quick!
aksik [14]

Let h = height of triangle


h^2 + 12^2 = 15^2


h^2 + 144 = 225


h^2 = 225 - 144



h^2 = 81


sqrt{h^2} = sqrt{81}


h = 9 cm


For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.


1. First find the lateral area.


LA = perimeter of triangle • height


LA = ph


p = 15 + 15 + 24


p = 30 + 24


p = 54 cm


LA = (54)(9)


LA = 486 cm^2


2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.


A = (1/2)bh


A = (1/2)(24)(9)


A = 108 cm^2


A = 2•108 cm^2


A = 216 cm^2 = our B in the surface area formula.


SA = B + LA


SA = 216 cm^2 + 486 cm^2


SA = 702 cm^2


The amount of cardboard needed is 702 cm^2.






6 0
3 years ago
Rewrite 4 6/7 as an improper fraction.
natima [27]
Im pretty sure its 34/7
4 0
4 years ago
To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?
ollegr [7]

Answer:

D. 5/3

Step-by-step explanation:

\frac{1/6+1/2+1/3+x}{4} =2/3

1/6+1/2+1/3+x=8/3

x=8/3-1/6-1/2-1/3

x=8/3-1/6-3/6-2/6

x=8/3-6/6

x=16/6-6/6=10/6

simplified

x=5/3

Hope this helps

3 0
2 years ago
Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .
Ad libitum [116K]
The answer is:  [B]:  " 60° " .
________________________________________
Because at whatever location,  <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.

Given:   m∠1  is 120°, and ∠1 is supplementary to ∠2 ;

then m∠1 + m∠2 = 180° .

So, m∠2 = (180 - 120)° = 60° .

As aforementioned:

m∠4 = m∠2 = 60° ;  which is:  Answer choice:  [B]:  " 60° " .
___________________________________________________
3 0
3 years ago
Given the formula p=k*2 w, find the value of p if k= 5 and w= - 3
Arada [10]
P=-75 step-by-step solved it
6 0
2 years ago
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