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Triss [41]
2 years ago
7

Hello, can anyone help me by answering all these? Please

Mathematics
1 answer:
kompoz [17]2 years ago
8 0

Answer: See step by step

Step-by-step explanation: For A my 15 statements are.

  1. It has 3 triangles inside it, ACD, ADC, and ABC
  2. It has 2 right triangles, and 1 isoceles
  3. AC≅AB
  4. CD≅DB
  5. D is midpoint of CB
  6. AD⊥CB
  7. Angle CDA=90 degrees
  8. Angle  BDA equal 90 degrees
  9. AD≅AD
  10. ΔCDA≅ΔBDA by any congruence theorem, (SSS, SSA,AAS,ASA, HL)
  11. AD^{2}+ DB^{2}=AB^{2}

 12.AD^{2}+ CD^{2}= AC^{2}

   13. Triangle ABC has a max of 180 degrees.

     14. We can rotate this triangle 180 degrees and it will coincide.

       15. We can reflect triangle ACD over vertical line ACD and it will be congruent to ABD.

 2.  We use pythagorean theorem since it has a right angle.

      AD^{2}+ DB^{2}=AB^{2} Let plug it in.

      40^{2}+b^{2}=45^{2}

        1600+ b^2=2025

      b^2=424

      sqr root of 425 is about 21. Now let find the perimeter.

      AB is 45, Since BD+DC=CB, and they are congruent they are equal so 21+21=42 and AC is congruent to AB so it is 45. So the perimeter is  132.

  For 3. Start at the orgin, then go up 5 on the y-axis so you should be at (0,5)

   Then use the rise over run method to graph it. go left -3 and and up 1. Keep doing that 2 more times then draw a straight line.  

Your 3 point should be

(0,5)

(1,2)

(2,1)

   

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If 7y + 42 <14 then which among the following is true​
lutik1710 [3]

Answer:

y

Step-by-step explanation:

Given

7y + 42

Required

Determine the true statement

<em>Options are not given; but, the question can still be attempted.</em>

<em></em>7y + 42<em></em>

<em></em>

Collect Like Terms

7y < 14 -42

7y < -28

Divide through by 7

\frac{7y}{7} < -\frac{28}{7}

<em></em>y<em> -- This is true</em>

5 0
2 years ago
6y^2-25y+14 factor <br><br> Help please
LUCKY_DIMON [66]

Answer:

(3y - 2)(2y - 7)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

Product = 6 × 14 = 84 and sum = - 25

The required factors are - 4 and - 21

Use these factors to split the y- term

6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )

2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term

= (3y - 2)(2y - 7) ← in factored form

8 0
3 years ago
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
nikitadnepr [17]

The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

<h3>What happen when last two digit of the number are 0?</h3>

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

To learn more about the integer visit:

brainly.com/question/17695139

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4 0
2 years ago
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The options for the first blank are 45, 240, 270, and 315
Schach [20]

Answer:

The solutions are <u>270°</u> and <u>450°</u>.

Step-by-step explanation:

Given:

cos\frac{x}{2} =\frac{\sqrt{2} }{2}.

So, the second and third quadrant angle to be calculated.

cos\frac{x}{2}=135

=x=270°.

And, cos\frac{x}{2}=225

=x=450°

Therefore, the solutions are <u>270°</u> and <u>450°</u>.

5 0
2 years ago
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KIM [24]

Answer:

5 or 6

Step-by-step explanation:

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