Answer:
![\large\boxed{x=1-\sqrt5\ \vee\ x=1+\sqrt5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D1-%5Csqrt5%5C%20%5Cvee%5C%20x%3D1%2B%5Csqrt5%7D)
Step-by-step explanation:
![x^2-2x-4=0\qquad\text{add 4 to both sides}\\\\x^2-2x=4\\\\x^2-2(x)(1)=4\qquad\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2(x)(1)+1^2=4+1^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-1)^2=4+1\\\\(x-1)^2=5\to x-1=\pm\sqrt5\qquad\text{add 1 to both sides}\\\\\boxed{x=1-\sqrt5}\ \vee\ \boxed{x=1+\sqrt5}](https://tex.z-dn.net/?f=x%5E2-2x-4%3D0%5Cqquad%5Ctext%7Badd%204%20to%20both%20sides%7D%5C%5C%5C%5Cx%5E2-2x%3D4%5C%5C%5C%5Cx%5E2-2%28x%29%281%29%3D4%5Cqquad%5Ctext%7Badd%7D%5C%201%5E2%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5Cx%5E2-2%28x%29%281%29%2B1%5E2%3D4%2B1%5E2%5Cqquad%5Ctext%7Buse%7D%5C%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5C%5C%5C%5C%28x-1%29%5E2%3D4%2B1%5C%5C%5C%5C%28x-1%29%5E2%3D5%5Cto%20x-1%3D%5Cpm%5Csqrt5%5Cqquad%5Ctext%7Badd%201%20to%20both%20sides%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D1-%5Csqrt5%7D%5C%20%5Cvee%5C%20%5Cboxed%7Bx%3D1%2B%5Csqrt5%7D)
m <3 = 52 °
Explicación paso a paso:
Puntos para recordar
1). El rombo es un paralelogramo. Los ángulos opuestos son suplementarios.
2). Las diagonales bisecan los ángulos de cada esquina.
3). Los ángulos alternos internos son iguales.
4). Todos los lados son iguales
Para encontrar la medida de <3
De la figura podemos ver un paralelogramo.
Se da que, n <3 = 80
Sabemos que m <1 = m <3
Por propiedad de suma de ángulos,
m <1 + m <1 + m <3 = 180
3 * m <1 = 180 - 80 = 100
<m1 = 100/2 = 50
Por lo tanto m <3
Answer:
3<5
Step-by-step explanation: dont see a picture but i have an example
Factor x^2 + x - 6
(x - 2)(x + 3) = 0
Solve for x
Ask yourself; When will (x - 2)(x + 3) equal zero?
When x - 2 = 0 or x + 3 = 0
Then solve for each of the two equations above
<em>x = 2, -3</em>
<u>Answer: C. 2, -3</u>