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Phantasy [73]
3 years ago
6

Match the reasons with the statements given.

Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

Given: ABCD is a rhombus

To prove: DB bisects ∠ABC and ∠ADC (∠1=∠2 and ∠3=∠4)

Proof: In ΔADB and ΔCDB

AD=CD               (sides of same rhombus)

DB=DB               (common in both triangle)

AB=CB                (sides of same rhombus)

∴ ΔADB ≅ ΔCDB by SSS congruence property.

Angle bisector: A line divide an angle into two equal part.

CPCT: Congruent part of congruence triangles.

Match the statements:-

  1. ABCD  is rhombus   ⇒    Given
  2. ΔADB≅ΔCDB   ⇒ Diagonals of parallelogram make congruent Δ      
  3. ∠1=∠2,∠3=∠4  ⇒ CPCTE                                  
  4. DB bisects ∠ABC and ∠ADC ⇒ Definition of angle bisector

Thus, Above matching is correct.

Alja [10]3 years ago
5 0
I believe the matching would be as follows;
1. ABCD is a rhombus -Given
2. Triangle ADB congruent to Triangle CDB- Diagonals of parallelogram make congruent triangles. The two triangles share a diagonal BD as their third side.
3. ∠1=∠2, ∠3=∠4 ; CPCTE
4. DB bisects ∠ABC and ∠ADC - definition of angle bisector
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Find the 9th term of the geometric sequence 6,-24,96... <br><br>​
spin [16.1K]

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

5 0
3 years ago
What is the are a square with a side length of 3x + 4.
geniusboy [140]
(3x + 14) (3x + 14) = 9x^2 + 24x + 16
3 0
3 years ago
Please help thank you.
MA_775_DIABLO [31]
Question 1:

To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.

A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram. 

A square has 4 right angles, so it's also a rectangle.

A square has 4 sides, so it's also a quadrilateral.

The first choice is your answer.

Question 2:

Not all quadrilaterals are rectangles, so A is incorrect.

Not all quadrilaterals are squares, so B is incorrect.

All rectangles are types of quadrilaterals, so C is correct.

Not all quadrilaterals are parallelograms, so D is incorrect.

Thus, C is your answer.

Question 3: 

The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.

The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.

Thus, the second choice is your answer.

Have an awesome day! :)
7 0
3 years ago
How big is a normal Pp? Also look down
marissa [1.9K]

Answer:

i can see the image is not there

Step-by-step explanation:

3 0
3 years ago
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Use math vocabulary to explain why you think this number does not belong in the group. Be sure to write in complete sentences.
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Answer:

because like for example the given number are 01 12

23 34

or 12233445566778 and etc.

your situation are 4556 and 3224 because are not ordered pair

8 0
3 years ago
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