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Nuetrik [128]
3 years ago
10

In equilateral triangles STU:

Mathematics
2 answers:
Len [333]3 years ago
7 0
<h3>Answer:  B) 39</h3>

==========================================================

Explanation:

Equilateral triangles have three equal sides, ie the sides are all the same length.

Let's set sides ST and TU equal to each other and solve for x

7x-10 = 2x+25

7x-2x = 25+10

5x = 35

x = 35/5

x = 7

Then we use this to compute each side

  • ST = 7x-10 = 7*7-10 = 49-10 = 39
  • TU = 2x+25 = 2*7+25 = 14+25 = 39
  • US = x^2 - 10 = 7^2 - 10 = 49-10 = 39

Each side is 39 units long, so this confirms we have the correct answer.

AysviL [449]3 years ago
5 0
The answer is b 39 pretty sure that’s correct
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Determine the value of x and y in the following systems of equations5x-2y=4 ; -2x+y=2.
V125BC [204]

Answer:(x,y)=(8,18)

Step-by-step explanation:

Given

5x-2y=4-------1

Second Equation

-2x+y=2-----2

Now multiply equation 2 by 2 and it to equation 1

5x-4x+0=8

x=8

substitute it in equation 1

5\times 8-2\times y=4

36=2y

y=18

Therefore

(x,y)=(8,18)

7 0
3 years ago
What is the missing reason in Step 8? 
Lynna [10]
The missing reason is you didn't put the actual question on here.

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4 0
3 years ago
Which expression is equivalent to *picture attached*
DiKsa [7]

Answer:

The correct option is;

4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3  \left (\dfrac{50(51) }{2} \right )

Step-by-step explanation:

The given expression is presented as follows;

\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3  \right )

Which can be expanded into the following form;

\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3  \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left  n^2 + 3  \times\sum\limits _{n = 1}^{50}  n

From which we have;

\sum\limits _{k = 1}^{n} \left  k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}

\sum\limits _{k = 1}^{n} \left  k = \dfrac{n \times (n+1) }{2}

Therefore, substituting the value of n = 50 we have;

\sum\limits _{n = 1}^{50} \left  k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}

\sum\limits _{k = 1}^{50} \left  k = \dfrac{50 \times (50+1) }{2}

Which gives;

4 \times \sum\limits _{n = 1}^{50} \left  n^2 =  4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}

3  \times\sum\limits _{n = 1}^{50}  n = 3  \times \dfrac{n \times (n+1) }{2} = 3  \times \dfrac{50 \times (51) }{2}

\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3  \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3  \times \dfrac{50 \times (51) }{2}

Therefore, we have;

4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3  \left (\dfrac{50(51) }{2} \right ).

4 0
3 years ago
What is the volume of a cube with a higher base and width of 4cm
katrin2010 [14]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Volume = height x base x width

Volume = 4 x 4 x 4

Volume = 64

The volume is 64cm^2

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
Please help me have to turn it in 30 minutes.
Anestetic [448]
24+15+11=50, the total number of times the markers were chosen.

Since 11 of these 50 tries resulted in a red and blue marker, the probability is 11/50. This is equal to 0.22 or 22%.
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