Answer:
Step-by-step explanation:
This is a quadratic equation. We'll find the discriminant, but must first rewrite this equation in standard form:
5w2 – 2w + 4 = -4 + 4, or 5w^2 - 2w + 4 = 0
The coefficients of the w terms are {5, -2, 4}
and so the discriminant b^2 - 4ac is 4 - 4(5)(20) = -396
Because the discriminant is negative, we know that there will be two unequal, complex solutions.
The triangles are similar. Specifically the largest triangle and the smaller triangle on the right side
We can form the proportion below and solve for x
x/(x+3) = (x+3)/12
12*x = (x+3)(x+3)
12x = x^2+6x+9
x^2+6x+9 = 12x
x^2+6x+9-12x = 0
x^2-6x+9 = 0
(x-3)^2 = 0
x-3 = 0
x = 3
Final Answer: 3
Answer:
Answer is 80
Step-by-step explanation:
PEMDAS (Parentheses - Exponents - Multiplication - Division - Addition - Subtraction)
Do (3+7) first which equals 10.
Your equation is then simply 8 x 10 which is 80.
Since you know that interior angles of one transversal add up to 180, we can subtract 72 from 180 to solve for angle DAB. 180-72=108. Our answer is angle DAB=108°