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olga55 [171]
3 years ago
5

BD = 53, AC = 45 & DA = 87. Find BC

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0

Answer:

the answer is differently C

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Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)
marusya05 [52]

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}

8 0
3 years ago
If t= 9m,what is the area of the triangle <br><br> Help
Zigmanuir [339]
To get the area of the triangle you have to multiply 50x1 which is 50 and divide 50 divided by 2 which is 25 and that is he area of the angle
5 0
3 years ago
a circle is centered at (-3, 2) and has a radius of 2. which of the following js the equation for this circle
Zielflug [23.3K]

Answer: The equation of the circle =

x² + y² + 6x - 4y + 9 = 0

Step-by-step explanation:

8 0
4 years ago
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Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the four angles formed
vitfil [10]
We have
angle 1=72 degrees

see the attached picture to better understand the problem

we know that
<span>Vertical angles are congruent
</span>angle1=angle3 \\ angle2=angle4
<span>
and

adjacent angles are supplementary
</span>angle2+angle1=180 \\ angle3+angle4=180
<span>
if the measure of one of the angles is </span>72 degrees and straight lines equal 180<span> degrees you have to
subtract </span>72 from 180
so
angle 2=180-72 \\ angle 2=108 degrees

therefore
angle 3=amgle 1 \\ angle 3=72 degrees

angle 4=amgle 2 \\ angle 4=108 degrees

the answer is

the measures of the other three angles are
108, 108 and 72 degrees

5 0
3 years ago
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Which best describes this quadrilateral?
Brut [27]

Answer:

Only one pair of sides are parallel

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The top and bottom sides are the only parallel sides

6 0
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