Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = 
= 
= 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
Let's solve this by using the quadratic formula:
Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:
And so by evaluating those values we obtain:
Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:
Second Factor:
And so your factors are
meaning that those are your roots/x-intercepts.
1/5 over 1/65 hour. as in 1/5 divided by 1/65 hr
Is the second paragraph meant to throw you off??? Because the answer to the question does not rely on the information based from the second paragraph...
Anyway, we know that the turtle started from (0, 0) and moved to (10, 8). Let's assume that (0, 0) is (x1, y1), and that (10, 8) is (x2, y2) for the sake of calculations.
To find how far the turtle moved to the right (along the x-axis) we take x1 from x2:
x2 - x1 = 10 - 0
= 10 = x2
***this is the "run"
To find how far the turtle moved upwards (along the y-axis) we take y1 from y2:
y2 - y1 = 8 - 0
= 8 = y2
***this is the "rise"
Notice that when something moves away from the origin the distance it traveled along the x-axis and y-axis is the same as its final position (or coordinates to where it traveled to).
Therefore, the,
slope = rise / run
= x2 / y2
= 10 / 8
= 5 / 4 (preferable for use)
= 1.25
Commutative Property of Multiplication. Hope this helps :)
