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sattari [20]
3 years ago
7

LeBron James made 16 baskets. Some were 2-pointers, and some were 3-pointers. He scored a total of 39 points.How many 2-pointers

and 3-pointers did he make?
Mathematics
1 answer:
nignag [31]3 years ago
5 0

Answer: 2pointers (9 baskets) 3pointers(7 baskets)

Step-by-step explanation:

(2*9)=18 (3*7)=21

21+18=39

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An equilateral triangle has sides of length(3k-2)units. A regular pentagon(5 sides) has sides of (2k+0.5)units. If the perimeter
Vitek1552 [10]

The length of side of triangle is 5 units and length of side of pentagon is 1.5 units.

<u>SOLUTION:</u>

Given, An equilateral triangle has sides of length (3k-2) units.  

Then, perimeter of the triangle will be 3 \times(3 k-2)=9 k-6

A regular pentagon (5 sides) has sides of (2k+0.5) units.  

Then, perimeter of the pentagon will be 5 \times(2 k+0.5)=10 k+2.5

We have to find the dimensions of each shape . Now, the perimeter of the triangle is twice the perimeter of the pentagon,  

So, \text {perimeter of triangle} = 2\times \text{perimeter of pentagon}

\begin{array}{l}{\rightarrow 9 k-6=2(10 k+2.5)} \\\\ {\rightarrow 9 k-6=20 k+5} \\\\ {\rightarrow 20 k-9 k=-6-5} \\\\ {\rightarrow 11 k=-11} \\\\ {\rightarrow k=-1}\end{array}

Then, length of side of triangle = 3(-1)-2 = - 5

Length of side of pentagon = 2(-1) + 0.5 = - 1.5

We have to neglect, negative sign as lengths can’t be negative. Even if we change the sign above all conditions are satisfied.

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3 years ago
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\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

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  • To find - <u>distance </u><u>between </u><u>the </u><u>two </u><u>points</u>

<u>Using </u><u>the </u><u>distance </u><u>formula</u> ~

\qquad\underline{d(PR) =  \sqrt{( x_{2}  -  x_{1}) {}^{2}  + ( y_{2} -  y_{1}) {}^{2}   }}  \\  \\

we have ,

\longrightarrow x_{1} = 5 \\ \longrightarrow x_{2} = 12 \\  \\  \longrightarrow \: y_{1} = 10 \\  \longrightarrow \: y_{2} = 14

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d(PR) =  \sqrt{(12-5) {}^{2} + (14-10) {}^{2}  }  \\  \\ \implies \: d(PR) =  \sqrt{(7) {}^{2}  + ( 4) {}^{2} }  \\  \\ \implies \: d(PR) =  \sqrt{49 + 16}  \\  \\ \implies \: d(PR) =  \sqrt{65}  \\  \\ \implies \: d(PR) = 8.1 \: units \: (approx)

hope helpful :)

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