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Fofino [41]
3 years ago
13

Don’t know the answer to this question???

Mathematics
1 answer:
Eva8 [605]2 years ago
3 0

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

The product of segment lengths to the near and far intersection with the circle is the same for both secants.

  4(4+5) = 3(3+x) . . . . the above statement with numbers filled in

  36 = 9 +3x . . . . . . . simplify

  12 = 3 +x . . . . . . . . divide by 3

  9 = x . . . . . . . . . . . subtract 3

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using  substitution.


\bf \begin{cases}5x-2y=4\\2x-y=1\end{cases}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\\stackrel{\textit{solving the 2nd equation for \underline{y}}}{2x-y=1\implies 2x-1=\boxed{y}}~\hspace{5em}\stackrel{\textit{substituting the found \underline{y} in the 1st equation}}{5x-2\left( \boxed{2x-1} \right)=4}\\\\\\5x-4x+2=4\implies x=4-2\implies \blacktriangleright x = 2\blacktriangleleft


\bf \stackrel{\textit{now, we substitute the found \underline{x} in the 1st equation}}{5(2)-2y=4\implies 10-2y=4}\implies 10-4=2y\\\\\\6=2y\implies \cfrac{6}{2}=y\implies \blacktriangleright 3=y \blacktriangleleft\\\\[-0.35em]\rule{34em}{0.25pt}\\\\~\hfill (2,3)~\hfill

7 0
2 years ago
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Given the angle 1=2x+35 and the angle 2=3x+7. Find the angle measures
user100 [1]

tiene que copiar sii el primero y segundo todos

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3 years ago
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Area and circumference of this circle
faust18 [17]

Answer:

Step-by-step explanation:

Given: The radius is 6 cm

To find the area + circumference we need to use 2 formulas:

Area: pi* radius^2

Circumference: 2*pi*r

First we can do the area

I will use "pi" for pi instead of 3.14

pi * 6^2

= 36 pi

The area is 36 pi

Next, circumference

2 * pi *r

2*pi*6

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5 0
2 years ago
A survey was taken of twenty dentists about Sparkly toothpaste. Sixteen of the dentists recommended Sparkly toothpaste to their
Bas_tet [7]

Answer: There are 40 dentists who would recommended Sparkly toothpaste to their patients .

Step-by-step explanation:

Since we have given that

Out of 20 dentists, a survey was taken of about Sparkly toothpaste,

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Percentage of dentists who recommended Sparkly toothpaste to their patients be

\frac{16}{20}\times 100=80\%

Out of 30 dentists, a survey was taken of about Sparkly toothpaste,

Number of dentists recommended Sparkly toothpaste to their patients = 24

Similarly,

Percentage of dentists who recommended Sparkly toothpaste to their patients be

\frac{24}{30}\times 100=80\%

Now, we have asked to find the number of dentists recommended Sparkly toothpaste to their patients if survey was taken of 50 dentists.

As we have seen that there is always 80% of total number of dentists surveyed have recommended Sparkly toothpaste to their patients ,

so, According to this pattern , we get that

\frac{80}{100}\times 50=40

Hence, there are 40 dentists who would recommended Sparkly toothpaste to their patients .


5 0
2 years ago
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