Answer:
x = 4
Step-by-step explanation:
- x-5 = 3-5x+3x+4
- x = 3-5x+3x+4+5
- x = 3-5x+3x+9
- x = -5x+3x+12
- x+5x =3x+12
- 6x =3x+12
- 6x-3x = 12
- 3x = 12
- x = 12/3
- x = 4
ANSWER
See explanation.
EXPLANATION
We want to very the identity:
Let us take the Left hand side and work it out to get the right hand side.
Recall the Pythagorean Identity:
Make cos²(x) the subject.
We substitute this into our expression to get:
Expand:
Simplify
We can rewrite to get;
Therefore:
Answer:
Isosceles triangle
Step-by-step explanation:
Given
Two congruent angles and two congruent sides
Base on the given description, the concept being described is an isosceles triangle, as it has two congruent sides and two congruent angles.
If each angle measures 45 degrees each, then the third angle is 90 degrees.
This is shown below.
--- angles in a triangle
Subtract 90 from both sides
A=21 B=125 C=34
A= C-13
B=4C-11
A+B+C=180 (all angles of a triangle add to 180)
(C-13)+(4C-11)+C=180
6C-24=180
6C=204
C=34
34-13=21=A
4×34-11=125=B
How generous
x+3=8
minus 3 both sides
x+3-3=8-3
x+0=5
x=5