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sattari [20]
3 years ago
5

IN THE FIGURE 5.24 TO THE RIGHT ABCD IS A RHOMBUS.SHOW THAT AC IS THE BISECTOR OF <BAD.​

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0

In any rhombus, the four sides are the same length.

Because of this, we know that

  • AD = AB
  • CD = BC

Furthermore, AC = AC due to the reflective property

Those three facts then allow us to prove triangle ACD is congruent to triangle ACB through the SSS congruence property. Then from CPCTC, we then know that  angle DAC = angle BAC,  which is enough to show that AC bisects the angle shown. The term "bisect" means "cut in half".

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I need help with my math work.
Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross.  That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point.  It's a point with integer coordinates.  Our solution, the meet of these two lines, doesn't fall exactly on a lattice point.  The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

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3 years ago
Somebody help me solve;
Nadya [2.5K]
P(at least 5 rolls until 1) = P(4 rolls are not 1) = 5/6 x 5/6 x 5/6 x 5/6 = 0.4823 (4sf)

Fewer than 7 rolls to get second 1 after first takes 3 rolls means second occurs on 4th, 5th or 6th roll
The probability of each of these is 1/6, 5/6 x 1/6 and 5/6 x 5/6 x 1/6 respectively.
P(second 1 on 4th, 5th or 6th roll) = 1/6 + 5/36 + 25/216 = 91/216 = 0.4213 (4sf)
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2 years ago
The area of a square is 81 square centimeters. What is the perimeter of the square?
loris [4]

Answer:

p = 36cm

Step-by-step explanation:

p = 4a

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<em>good luck, i hope this helps :) </em>

<em />

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3 years ago
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