Answer:
x = 52.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides, thus is isosceles
The base angles of an isosceles triangle are also congruent, thus
x = 
= 
= 52.5
Answer:
the angles always equal 180
Step-by-step explanation:
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x² )(x² )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>
The answer is B.
If Farrah is 5 times older than Emil plus 4 years, the equation would be 5e+4.
