Yes they are congruent because they have just been translated in a rotation. But they still hold the same area and perimeter.
Answer:
B
Step-by-step explanation:
Note that the absolute value always returns a positive value, that is
| - a | = | a | = a, thus
| 34 - 49 | = | - 15 | = 15 and
| 17 - 24 | = | - 7 | = 7
The sum simplifies to
+ ![\frac{7}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D)
Before adding the fractions must have a common denominator, thus
+ ![\frac{7(2)}{3(2)}](https://tex.z-dn.net/?f=%5Cfrac%7B7%282%29%7D%7B3%282%29%7D)
=
+
=
→ B
If you are solving a system of equations by graphing it, the point of intersection makes both equations true! C:
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We know that:</u>
- Perimeter of triangle = 3(4x - 3) = 63 in.
<u>Work:</u>
- 3(4x - 3) = 63 in.
- => 12x - 9 = 63 in.
- => 12x = 72 in.
- => x = 72/12
- => x = 6
Hence, <u>the value of x is 6.</u>
Hoped this helped.
![BrainiacUser1357](https://tex.z-dn.net/?f=BrainiacUser1357)
Answer:
![x=-\frac{1-\sqrt{13} }{3} ,-\frac{1+\sqrt{13} }{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1-%5Csqrt%7B13%7D%20%7D%7B3%7D%20%2C-%5Cfrac%7B1%2B%5Csqrt%7B13%7D%20%7D%7B3%7D)
![0.87, -1.54](https://tex.z-dn.net/?f=0.87%2C%20-1.54)
Step-by-step explanation:
![3x^2+2x-4=0](https://tex.z-dn.net/?f=3x%5E2%2B2x-4%3D0)
Use the quadratic formula:
![x=\frac{-b+\sqrt{b^2-4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%5Cfrac%7B-b-%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
![x=\frac{-2+\sqrt{2^2-4*3*-4} }{2*3} ,\frac{-2-\sqrt{2^2-4*3*-4} }{2*3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-2%2B%5Csqrt%7B2%5E2-4%2A3%2A-4%7D%20%7D%7B2%2A3%7D%20%2C%5Cfrac%7B-2-%5Csqrt%7B2%5E2-4%2A3%2A-4%7D%20%7D%7B2%2A3%7D)
Simplify:
![x=\frac{-2+2\sqrt{13} }{6} ,\frac{-2-2\sqrt{13} }{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-2%2B2%5Csqrt%7B13%7D%20%7D%7B6%7D%20%2C%5Cfrac%7B-2-2%5Csqrt%7B13%7D%20%7D%7B6%7D)
![x=-\frac{1-\sqrt{13} }{3} ,-\frac{1+\sqrt{13} }{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1-%5Csqrt%7B13%7D%20%7D%7B3%7D%20%2C-%5Cfrac%7B1%2B%5Csqrt%7B13%7D%20%7D%7B3%7D)