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mestny [16]
2 years ago
7

Find the measure for ∠XQL.

Mathematics
1 answer:
Oliga [24]2 years ago
6 0

Answer: C)62\°

Step-by-step explanation:

<h3> The missing picture is attached.</h3><h3> And the missing options are:</h3><h3> A) 58\°\\ B)60\°\\  C)62\°\\  D)64\°</h3>

For this exercise it is necessary to remember the definition of "Vertical angles".

Vertical angles are defined as those angles that are opposite to each other and share the same vertex. These angles are congruent, which means that they have equal measure.

You can identify in the picture that \angle XQL and \angle MQR are Vertical angles, then they are congruent.

Based on the above, you can set up the following equation:

-5b+82=-3b+74

Now you must solve for "b" in order to find its value:

82-74=-3b+5b\\\\8=2b\\\\\frac{8}{2}=b\\\\b=4

Finally, substituting the value of "b" into \angle XQL=-5b+82 and evaluating, you get:

\angle XQL=-5(4)+82\\\\\angle XQL=62\°

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Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

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</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
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using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

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2 years ago
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Polygons ABCD and EFGH are similar. Find the length of EH?
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Most likely, polygon <span>ABCD</span> has sides of known lengths.
It is also likely that one of the sides of polygon <span>EFGH</span> (not <span>EH</span>) is also known. For instance, its side <span>EF</span>.

If the above is true, we can find the scaling factor as a ratio between lengths of corresponding sides:
<span>r=<span><span>EF</span><span>AB</span></span></span>

Since this ratio is constant for any two corresponding lengths,
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From the last two equations we can derive:
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Hope That Helped : ) (Took a minute)
5 0
2 years ago
An appliance store sells 245 toasters in the month of January. If it sells 200 more toasters in the next month, how many toaster
Nikitich [7]

Answer:

445

Step-by-step explanation:

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Answer:

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A contour line (also called isoline) is a line that indicates points at the same elevation on the map, showing you a representation of the terrain's elevation (hills, mountains, canyons and so on).  You will find those lines on specialized maps, like topographic maps, which are different than road maps.

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2 years ago
In the fifth grade at Lenape Elementary School, there are 4/5 as many students who do not wear glasses as those who do wear glas
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Given:
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