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Slav-nsk [51]
2 years ago
9

Where are all my math nerds and experts at? Help me out!

Mathematics
1 answer:
sashaice [31]2 years ago
6 0

Solution:

The interior angles of a triangle sum up to 180°

<u>This means that...</u>

  • 3(x + 2) + 52 + 35 = 180

<u>Simplify the distributive property.</u>

  • 3x + 6 + 52 + 35 = 180

<u>Combine like terms.</u>

  • 3x + (6 + 52 + 35) = 180
  • => 3x + (93) = 180

<u>Subtract 93 both sides.</u>

  • 3x + (93) = 180
  • => 3x + 93 - 93 = 180 - 93

<u>Simplify both sides.</u>

  • => 3x = 87

<u>Divide 3 both sides.</u>

  • => 3x/3 = 87/3
  • => x = 87/3 = 29
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<h3>What is velocity?</h3>

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8 0
2 years ago
Find the perimeter of the rectangle with points...<br> W(6,9), X(9,7), Y(3,-2), Z(0,0)
Svetradugi [14.3K]
Find the perimeter of the rectangle with points...
W(6,9), X(9,7), Y(3,-2), Z(0,0)

5 0
3 years ago
A botanist measures the heights of 16 seedlings and obtains a mean and standard deviation of 72.5 cm and 4.5 cm, respectively. F
Brums [2.3K]

Answer:

c. [70.30, 74.70]

Step-by-step explanation:

Confidence interval is a range of values in which there is a specified probability that the value of a parameter lies within that range.

The confidence interval of a statistical data can be written as.

x+/-zr/√n .......1

Given;

Mean gain x = 72.5 cm

Standard deviation r = 4.5 cm

Number of samples n = 16

Confidence interval = 95%

z (at 95% confidence) = 1.96 (from the table)

Substituting the values we have into equation 1;

72.5 +/- 1.96×4.5/√16

72.5 +/- 2.20 cm

[70.30, 74.70]

Therefore, the 95% confidence interval is

[70.30, 74.70] cm

4 0
3 years ago
The larger of two consecutive ODD numbers is one less than twice the smaller number. Find the larger of the two numbers.
andrey2020 [161]

Answer:

<h3>             5</h3>

Step-by-step explanation:

z -  any integer

2z+1 - any odd integer (the smaller one)

2z+1+2 = 2z+3 - odd integer consecutive to 2z+1  (the larger one)

2(2z+1)    - twice the smaller number

2(2z+1) - 1    - one less than twice the smaller number

2(2z+1) - 1 = 2z + 3

4z + 2 - 1 = 2z + 3

2z = 2

 z = 1

2z+3 = 2•1+3 = 5

check:

2z+1 = 2•1+1 = 3,  

2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3

7 0
4 years ago
what is the general form for a number written in scientific notation? what are its practical applications?
patriot [66]
The general form for a number written in scientific notation would be a x 10^n. <span> where a must be between 1 and 10, and n must be an integer. This type of form is useful when dealing with very large numbers or very small numbers. Hope this answers the question. Have a nice day.</span>
4 0
3 years ago
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