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LiRa [457]
2 years ago
11

ABCD is a square.

Mathematics
1 answer:
Bad White [126]2 years ago
8 0

Since ABCD is a square, and AC is the diagonal of the square, therefore, then,  angle BAC would be Option B. 45°

<h3>What is square?</h3>

A square is known as a quadrilateral with four interior angles of 90° each, and four equal sides.

Properties of a square include

  • The interior angles are equal to 90°
  • All the sides are congruent or equal
  • The opposite sides are parallel
  • The diagonals of the square bisect each other at 90 degrees
  • The two diagonals are equal

Angle BAC is half the angle of the diagonal

= 90/2 = 45°

Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°

Learn more about a square here:

brainly.com/question/24487155

#SPJ1

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find the equation of the perpendicular bisector of segment ab with endpoints a=2,2 and b=-4,6 if the perpendicular bisector inte
aleksklad [387]

Equation of perpendicular bisector is ,  y=\frac{3}{2} x+\frac{11}{2}

Length of both pa and pb are  \sqrt{\frac{65}{4} }  unit.

Slope of segment ab is,   \frac{6-2}{-4-2} =-\frac{2}{3}

So, slope of perpendicular bisector will be, negative of reciprocal of slope of segment ab.

Therefore, slope of perpendicular bisector is,  \frac{3}{2}

Since, perpendicular bisector passes through the mid point of segment ab.

So, coordinate of mid point of segment ab is,

                                             (\frac{2-4}{2},\frac{2+6}{2}  )=(-1,4)

Thus, perpendicular bisector of ab passing through (- 1, 4) and have slope  3/2.

So, equation of angle bisector is,

                                     y=\frac{3}{2} x+\frac{11}{2}

Since, the perpendicular bisector intersects the y-axis at point p

So, coordinate of point p is (0, 11/2)

By applying distance formula,

pa=\sqrt{(2-0)^{2}+(2-11/2)^{2}  }\\\\ =\sqrt{4+\frac{49}{4} }\\\\ =\sqrt{\frac{65}{4} }

pb=\sqrt{(-4-0)^{2}+(6-11/2)^{2}  }\\\\ =\sqrt{16+\frac{1}{4} }\\\\ =\sqrt{\frac{65}{4} }

Learn more,

https://brainly.in/question/31510165

8 0
3 years ago
Please help, thank you
alexandr1967 [171]

Answer:

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Step-by-step explanation:

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What is 3/4 * 2 1/2 * 4/5
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Apparently the answer is 11.7
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At 3 p.m the temperature was 9°f by 11 pm it had dropped 31°f what was the temperature at 11 pm
NemiM [27]
-22 degrees ferenheit
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