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Svetach [21]
2 years ago
9

Is anyone able to solve this problem?

Mathematics
2 answers:
Afina-wow [57]2 years ago
7 0

Answer:

y = 2√5.

Step-by-step explanation:

Consider the smallest triangle.

Applying Pythagoras theorem:

y^2 = x^2 + 2^2

The smallest and larger triangle (the one with one side = 8) are similar so we have the proportions :

x/2 = 8/x

---> x^2 = 16

---> x = 4.

Therefore , substituting for x  in the first equation:

y^2 = 4^2 + 2^2

---> y^2 = 20

--->  y = √20

---> y =  2√5.


Shalnov [3]2 years ago
6 0

Answer:

y = 2\sqrt{5}

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

y² = 2 × (2 + 8) = 2 × 10 = 20 ( take square root of both sides )

y = \sqrt{20} = \sqrt{4(5)} = \sqrt{4} × \sqrt{5} = 2\sqrt{5}

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liq [111]

Given:

M is the mid-point of RS

N is the mid-point of ST

MN = 18.4

To find:

The length of RT.

Solution:

The reference image is attached below.

Joining mid-point M and N, we get mid-segment MN.

MN is parallel to RT.

Triangle mid-segment theorem:

If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.

$\Rightarrow MN=\frac{1}{2} RT

Substitute MN = 18.4

$\Rightarrow 18.4 =\frac{1}{2} RT

Multiply by 2 on both sides.

$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT

$\Rightarrow 36.8=RT

The length of RT is 36.8.

5 0
3 years ago
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
Harlamova29_29 [7]
The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and  </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)

</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>






7 0
4 years ago
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What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?
mash [69]
Since the triangle has equal sides it will carry onto it self at 120, since it can rotate 360 grades only and it has 3 sides so it will rotate in one third of 360 so 120

i hope i helped you
7 0
3 years ago
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zzz [600]

Answer:

7 ( b + 4 ) = 9

Step-by-step explanation:

Let the number be = b

It is given that the :

The number is added to 4.

And the value is equal to 9 when it is 7 times the sum of the number, b and 4.

Thus according to the question, the sentence can be translated in equation form as :

7 ( b + 4 ) = 9

Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.

4 0
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Yakvenalex [24]

Answer:$29.80

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Esteban paid $134.10 for 4½ sheets of plywood at the local home improvement store. One sheet of plywood costs 134.10/4.5 = $29.80.

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