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Vladimir [108]
3 years ago
14

 K is the midpoint of . if = 3x + 1 and     , find the length of

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
3x + 1 = 1/3x + 9 Multiply through by 3 
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>

<span>AK = 3*3 + 1 = 10 </span>

<span>AB = 2*AK = 20</span>
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I need help please...
Ksivusya [100]

Answer:

A

Step-by-step explanation:

Area of Triangle = BH/2

B = 11

Height = 2

11*2 = 22

22/2 = 11

11 sq units = A

6 0
3 years ago
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4. Calculate the surface area of this triangular prism.
attashe74 [19]

Answer:

Surface Area of a Triangular Prism Calculator

In the general surface area is defined as the total area the surface of the object occupies. A triangular prism is a polyhedron that  has a triangular base. It has 5 faces and 9 edges. Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. Enter the triangle's sides, base, height, and prism height in the prism calculator to find the SA of the triangular prism.

Step-by-step explanation:

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2 years ago
Name the property or definition illustrated below
dimulka [17.4K]

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

6 0
2 years ago
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
hammer [34]

Answer: option d.

Step-by-step explanation:

If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

y=kxz

Where<em> k</em> is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}

<em> </em>Substitute the value of <em>k</em>  into the expression. Then, the equation is:

y=\frac{2}{3}xz

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

y=k=\frac{2}{3}(7)(4)

y(7,4)=\frac{56}{3}

<em> </em>

5 0
2 years ago
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George bought socks for "$"300 and planned to sell them for $6 a pair. write an inequality to find the minimum number of socks h
Anit [1.1K]

The inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

In the question, we are given that George bought socks for $300.

Therefore, George's total cost = $300.

We assume the number of pairs of socks George sells to be s.

The unit price per pair quoted by George = $6

Therefore, George's total sales = $6s.

We know that the profit over a transaction is given as the difference between sales and costs, that is,

The profit = The total sales - the total costs,

or, profit = 6s - 300.

In the question, we are required to make a profit of more than 210.

This can be shown by the inequality,

6s - 300 > 210.

Thus, the inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

Learn more about inequalities at

brainly.com/question/24372553

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