I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
Answer:
-⅗ = x
Step-by-step explanation:
Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:
-2x - 4 = 3x - 1
Here is the solution:
-2x - 4 = 3x - 1
-3x -3x
----------------
-5x - 4 = -1
4 +4
----------------
-5x = 3
----- -----
-5 -5
x = -⅗
I am joyous to assist you anytime.
Answer:
2x^2+14x+5
Step-by-step explanation:
x^2+9x+5x+5
Combine Like Terms:
=2x^2+9x+5x+5
=(2x^2)+(9x+5x)+(5)
=2x^2+14x+5
Answer:
Diagram attached
AJ = 8.75 in.
Step-by-step explanation:
Since triangles HBA & HKJ are similar,
BH/AH = KH/JH
3 in /5.25 in = 8 in /JH
JH = 14 in
JA = JH - AH = JH - 5.25 in = 8.75 in
HJ = 14 in.
AJ = 14 in - 5.25 in
AJ = 8.75 in.