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Natasha_Volkova [10]
3 years ago
13

The triangle LMN is similar to ΔXYZ. What is the missing length x in the triangle XYZ?

Mathematics
2 answers:
andreev551 [17]3 years ago
5 0
3.5

XY and LM are similar sides, and the rule is divide by 2

7/2 is 3.5
Iteru [2.4K]3 years ago
3 0
3.5 is x. i checked. hope this helps
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EMERGENCY A speeding ticket costs $80 plus $10 for each mile per hour over the speed limit the violator was traveling. How much
Basile [38]

Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m  = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

                                         = 80 + 120

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3 0
3 years ago
Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
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zepelin [54]

Answer:

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Step-by-step explanation:

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3 years ago
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denis-greek [22]

<u>Answer:</u>

2i\sqrt{3}

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x^2 + 12

x^2 + 12 = 0

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

x^2 + 12 = 0

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x^2 = -12

Square root both sides of the equal sign.

x^2 = -12

\sqrt{x^2} = \sqrt{-12}

Take the square root on left sides of the equal sign.

\sqrt{x^2} = \sqrt{-12}

x = \sqrt{-12}

Take the square root on the right side of the equal sign. Remember \sqrt{-1} = i

x = \sqrt{-12}

x = \sqrt{4}*\sqrt{-1}\sqrt{3}}

x = 2i\sqrt{3}

<u>AND</u>

x = -2i\sqrt{3}

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Answer:

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