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Alexus [3.1K]
3 years ago
10

Which choices are equivalent to the fraction below? Check all that apply. 30 36

Mathematics
1 answer:
allsm [11]3 years ago
6 0
And the fraction??????
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The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use f
Murrr4er [49]

Answer:

Step-by-step explanation:

Hello, please consider the following.

x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)

So, the possible dimensions of the rectangle are (x+7) and (x-6).

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3 0
3 years ago
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Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched b
TiliK225 [7]

Answer:24 foot and if i am wrong it is 9 so pick one

Step-by-step explanation:

4 0
3 years ago
In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ are medians of △. If KC = 108 and OC = 2n+10, then n=
Nimfa-mama [501]

The question was incomplete. Below you will find the missing content.

In the figure below, BL, AM, and CK are medians of △ABC. If KC = 108 and OC = 2n + 10, then n=

The picture is attached below.

The value of n is 31.

The median is the line connecting the vertex and its midpoint on the opposite side of the triangle.

The intersection of all 3 medians of the triangle is called the centroid.

As we know centroid divides the median in the ratio of 2:1.

In the given picture,

Medians of triangle △ABC are AM, BL, and CK.

So the centroid of the triangle is O.

Given that KC= 108

As the centroid O divides the line KC in 2:1.

Let OC=2x

KO= X

As KC= KO+OC

⇒ 108= x+2x

⇒ 3x=108

⇒ x=108/3

⇒ x=36

Then OC= 2x= 2*36= 72

As given in the question OC= 2n+10

putting the value of OC in above equation

⇒ 72= 2n+10

⇒ 2n= 72-10

⇒ 2n=62

⇒ n=62/2

⇒n=31

Therefore the value of n is 31.

Learn more about the median of the triangle

here: brainly.com/question/2264495

#SPJ10

5 0
2 years ago
HELP PLEASEE i need it
Soloha48 [4]

Answer:

See explanation

Step-by-step explanation:

<u><em>1st photo:</em></u>

x = \sqrt{15}

\frac{x}{5} = \frac{3}{x}

x^{2} = 15

x = \sqrt{15}

<u><em>2nd photo:</em></u>

(a) GEH ~ FGH ~ FEG

<em>similar triangles, use similar corners in the right order</em>

(b) \frac{FE}{GE} = \frac{GE}{EH}   AND    \frac{FH}{GH} = \frac{GH}{HE}

<em>similar triangles, use similar sides in proportion</em>

<em />

<u><em>3rd photo:</em></u>

x = 4.5 or 4 1/2

\frac{x}{3} = \frac{3}{2}

<em>2x = 9</em>

<em>x = 4.5 or 4 1/2</em>

<em />

<u><em>4th photo:</em></u>

Length of string = 118.2 ft

<em>sin(40) = 76/x</em>

<em>x = 76/sin(40) = 118.2</em>

7 0
2 years ago
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
katrin2010 [14]

Answer:

48 hats and 104 shirts

Step-by-step explanation:

These are the equations you build from the problem:

h + s = 152

8.50h + 12s = 1656

This is how I solved them:

s= 152-h

8.5h + 12(152-h) = 1656

8.5h + 1824 - 12h = 1656

Solve for h

h= 48

Put this into first equation (h +s = 152) to get s

8 0
2 years ago
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