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tankabanditka [31]
3 years ago
11

8th grade geometry please help

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
Okay so the value of X is 9x^2/7
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Please help me, I don't know how to do this...
Lunna [17]

Answer:

  A.  5

Step-by-step explanation:

The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.

  (x +1)^2 +x^2 = (√61)^2

  x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses

  2x^2 +2x = 60 . . . . . . .subtract 1, collect terms

  x^2 +x -30 = 0 . . . . . divide by 2, subtract 30

  (x +6)(x -5) = 0 . . . . factor the quadratic

  x = -6 or +5

The solution is x = 5.

_____

Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.

8 0
2 years ago
Help me please, Find a, b, and c.
Mama L [17]

Answer:

a = 6*\sqrt{3}

b = 12

c = 6\sqrt{2}

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths 1-1-\sqrt{2}.

A 30-60-90 right triangle has side lengths 1 - \sqrt{3} -2.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length \sqrt{3}. Therefore, a = 6*\sqrt{3}.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to \sqrt{2}. This means \sqrt{2} was multiplied by 12 = \sqrt{2} * \sqrt{72}. This means that side c is \sqrt{72}=6\sqrt{2}.

3 0
3 years ago
Read 2 more answers
The midpoint of mn is point p at (-4,6). If point m is at (8,-2), what are the coordinates of point n?
VashaNatasha [74]
<u>x₁ + x₂</u>                             <u>y</u>₁ + <u>y</u>₂<u>
</u>     2      = M                        2     = M
<u>
x + 8</u>                                 <u>y + -2</u><u>
</u>    2    = -4                            2           =6
<u>multiply both sides by 2.

</u>x+8=-8                             y - 2 = 12
<u>x = -16</u>                             <u>y = 14
</u>
Final Answer: (-16, 14)



7 0
3 years ago
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Jacob with his mower can mow and trim Mr. Clark's yard in two and a half hours, while Nicole with her mower can mow and trim the
OLEGan [10]
1 hour 6 minutes 40 seconds
5 0
3 years ago
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What is the best definition for marginal cost?
Crazy boy [7]

Answer:

Marginal cost refers to the increase or decrease in the cost of producing one more unit or serving one more customer.

Step-by-step explanation:

Definition: Marginal cost is the additional cost incurred for the production of an additional unit of output. The formula is calculated by :

Marginal Cost = (Change in the total cost)/(Change in the product output)

6 0
4 years ago
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