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Tanzania [10]
3 years ago
15

Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.

Mathematics
2 answers:
Leokris [45]3 years ago
7 0

Answer:

all the side but to are eaual you must divide by two then go

Inessa05 [86]3 years ago
3 0

Step-by-step explanation:

<u>Given coordinates of the rectangle ABCD:</u>

  • A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

  • AB = a - 0 = a, CD = a
  • AD = b - 0 = b, BC = b

<u>So the coordinates of C are:</u>

  • x = a, y = b

<u>Now the diagonals:</u>

  • AC = √(a-0)² + (b-0)² = √a²+b²
  • BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

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GalinKa [24]

Answer:

Hypoglycemia would sign at 1,000

Step-by-step explanation:

We know that a short-acting insulin (Regular insulin) work at last for 2 to 3 hours

Also intermediate acting insulin (NPH) insulin crests in 4 to 10 hours.

So, nurse assess this patient for signs of hypoglycemia 1000 to 1600

3 0
3 years ago
9.433<br> 9.4<br> 9.37 9.311<br> 9.345<br> 9.35<br> Least to greatest
faust18 [17]

Answer:

LEAST

9.311

9.345

9.35

9.37

9.4

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Step-by-step explanation:

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5 0
3 years ago
What is the scale factor for pre-image IJKH to image MNOL?
solniwko [45]

Answer:

Step-by-step explanation:

Given are two rectangles MNOL and IJKH

MNOL is the image and IJKH is the preimage.

OBviously similarity is preserved between these.

Hence sides will be proportional

i.e. l1/l2 = w1/w2 = Scale factor k

This can also be written as

Scale factor square = k^2=\sqrt{ \frac{areaI}{area2} }

Scale factor = square root of ratio of rectangle areas

Find ratio as

\frac{375}{135} =\frac{25}{9}

k = Scale factor = square root of the above fraction

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5 0
3 years ago
A triangle has angle measurements of 56°, 56°, and 68°. Is this triangle scalene?
slamgirl [31]

Answer:

No.  It is an isoceles triangle.  A scalene triangle would have NO equal angles.

Step-by-step explanation:


3 0
3 years ago
Solve for B and A please help ASAP
Mama L [17]

Answer:

∠A = ∠B = 80°

Step-by-step explanation:

The angles are corresponding angles where a transversal crosses parallel lines, so are congruent. That means ...

∠A = ∠B

8x -8° = 5x +25° . . . . . substitute the given expressions

3x = 33° . . . . . . . . . . . . add 8°-5x

x = 11° . . . . . . . . . . . . . . divide by 3

Then the angles are ...

8·11° -8° = 80°

6 0
3 years ago
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