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zubka84 [21]
3 years ago
5

How can I solve this proof?? PLZ HELP I DONT UNDERSTAND!! Thanks !!

Mathematics
1 answer:
love history [14]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

See below


Discussion:

Triangles BAD and BCD are congruent by the SAS postulate.

          * Side AD = DC because BD is the perpendicular bisector  of AC.

          * Angle ADB and CDB are both right angles, and hence equal, because

            BD is the perpendicular bisector of AC)


Corresponding parts of congruent triangles are equal so angle BAD = angle BCD,  which was to be proven.


Regards,  

MrB

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ivanzaharov [21]
<h2><u>Answers:</u></h2>

a. What properties do these shapes have in common?

The square, the rectangle and the rhombus are in the <u>quadrilaterals</u> group (<u>shapes or figures with four sides</u>) and in the <u>parallelogram</u> sub-group (shapes or figures with four sides in which <u>opposite sides are parallel</u>).  

In other words,

<h2>what these three shapes have in common is that they are Parallelograms.</h2>

Hence, they have the same <u>properties of a parallelogram</u>, such as:

1. Opposite sides parallel and with the same length

2. Opposite angles are congruent (<u>equal angles</u>, or angles with the same value)

3. Consecutive angles are supplementary (<u>angles that add up to 180°</u>)

Also the general <u>properties of a quadrilateral</u>:

1. It has four sides

2. It is a 2-dimensions shape

3. It is a closed figure

4. It has four corners (<u>called vertices</u>), and four interior angles, as well.

5. The sum of their four interior angles is 360º

b. How are these two shapes different?

In this case we are going to talk about <em>the differences between the Rectangle and the Rhombus</em>, because the square is a special case of both.

Now, the <u>differences between the Rectangle and the Rhombus</u> are:

1. In the Rectangle only the opposite sides are of the same length, while in the rhombus all of its sides are of the same length.

2. If you trace two diagonal lines inside the Rectangle, they will have the same length. But if you trace two diagonal lines inside the Rhombus they will have different lengths.

3. When the two diagonals in the Rectangle are intersected, they are not perpendicular, but in the case of the Rhombus they are perpendicular (both lines form an angle of 90º)

4. All the angles of the rectangle have the same value: 90º. But in the case of the rhombus only the opposite angles have the same value.

c. What conclusion can you make about the square, rhombus and rectangle?

These three shapes belong to the parallelogram group (which is also part of the quadrilaterals group). They have a lot of things in common for being quadrilaterals, with some differences related to their own shape.

The square is a special case of these three figures, is a rhombus (four equal sides) and a rectangle (four equal 90º angles), as well.


5 0
3 years ago
John was traveling 1700 feet in 20 seconds. How fast was the car going in miles per hour
bagirrra123 [75]

Answer:

612000

Step-by-step explanation:

(20*3)*60=360

360*1700=612000

6 0
3 years ago
Find the volume of the triangular prism​
Otrada [13]

Answer:

1,848

Step-by-step explanation:

volume = ( \frac{1}{2}  \times a \times b) \times h \\  = ( \frac{1}{2}  \times 7 \times 24) \times 22 \\  divide \: 2 \: and \: 24 \: by \: 2 \\  = (1 \times 7 \times 12) \times 22 \\  = (84) \times 22 \\  = 1,848 \\ volume \:  = 1,848

6 0
2 years ago
This is urgent I need help!
Nata [24]

Answer:

Step-by-step explanation:

1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.

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Each bus,excluding the driver,holds 44 people

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2. How many buses will be needed?

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3. Why must the answer to the problem be a whole number?

Buses cannot be divided in fractions It should be or 5 buse or 6

But 5 buses are not enough

4. Why shouldn't you round the answer the usual way?

Even when rounded it is still a decimal and buses need to be counted by whole number

5. Can your answer be classified as a rational number? Explain why or why not.

6 is a rational number (whole number)

5.38636363.......is rational ( repeating decimal

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3 years ago
Cyprian was playing football, and on 4 player here is how he did. He lost 8 yards. He gained 15 yards. He gained 7 yards. He los
lord [1]

He lost 8, so he is at -8, he then gains 15 so add 15 to -8"-8 + 15 = 7

He gains 7 so now add 7 to the total: 7+ 7 = 14

He then loses 4, so now subtract 4 from the total: 14 - 4 = 10

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