Answer: See step by step
Step-by-step explanation: For A my 15 statements are.
- It has 3 triangles inside it, ACD, ADC, and ABC
- It has 2 right triangles, and 1 isoceles
- AC≅AB
- CD≅DB
- D is midpoint of CB
- AD⊥CB
- Angle CDA=90 degrees
- Angle BDA equal 90 degrees
- AD≅AD
- ΔCDA≅ΔBDA by any congruence theorem, (SSS, SSA,AAS,ASA, HL)
-
+
=
12.
+
= 
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.
+
=
Let plug it in.
+
=
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)
Answer:
x^(1/3)
Step-by-step explanation:
let's start with x^2 / x^(2/3), then we'll move on the the 4th root
when dividing exponents with the same base, we subtract the exponents:
x^2 / x^(2/3) = x^(2 - 2/3) = x^(4/3)
the fourth root of x^4/3 can become x^(4/3 * 1/4)
(i used the formula x^(m/n) = nth root of x^m)
x^(4/3 * 1/4) = x^1/3
hope this helps! <3
Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
The answer is -2.21428571429