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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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3 years ago
Is line 1 (1,5) (3,-2) and like 2 (-3,2) (4,0) perpendicular of parallel?
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  • Slope Formula: \frac{y_2-y_1}{x_2-x_1}

So remember that <u>perpendicular lines have slopes that are negative reciprocals to each other</u> and <u>parallel lines have the same slope.</u> To find out if they are either parallel or perpendicular, plug the pair of points into the slope formula to find their slopes:

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3 years ago
What is log base 7 of 252
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Answer:

2.84

Step-by-step explanation:

Recognize that 252 = 7*36

and so:

log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or

                                 log base 7 of 36 + 1

So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.

Or, if you want to use the change of base formula, you could do the following:

                                 log 36

log base 7 of 36 = -------------- = 1.84

                                  log 7

and so log base 7 of 252 would come out to

1 + log base 7 of 36  =  1 + 1.84  = 2.84

Check:  does 7^2.84 = 252?  YES.  So we know that:

 1 + log base 7 of 36 = 2.84

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