Answer:


Hence prove.
Step-by-step explanation:
Given:
∠A + ∠D = 90°
We are prove to that
Solution:
See required figure in attached file.
We know sum of the all angles of a triangle is 180°.
So, in triangle AED.
∠A + ∠E + ∠D = 180°
∠E + (∠A + ∠D) = 180°
Now, we substitute ∠A + ∠D = 90° in above equation.
∠E + 90° = 180°
∠E = 180° - 90°
∠E = 90°
Using Pythagoras Theorem for triangle ADE and triangle BEC.


Now, we add both above equations.
--------(1)
Similarly, Using Pythagoras Theorem for triangle AEC and triangle BED.


Now, we add both above equations.
--------(2)
We get From equation 1 and equation 2.
Hence prove,
Answer:
see explanation
Step-by-step explanation:
Given
3x² - 5x + 2 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 2 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the x- term
3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = 
Roots are x = 1, x = 
Answer:
Yes it does answer A_____
Answer:
x= 116/17
Step-by-step explanation:
5x+192−321+13=−12x
Step 1: Simplify both sides of the equation.
5x+192−321+13=−12x
5x+192+−321+13=−12x
(5x)+(192+−321+13)=−12x(Combine Like Terms)
5x+−116=−12x
5x−116=−12x
Step 2: Add 12x to both sides.
5x−116+12x=−12x+12x
17x−116=0
Step 3: Add 116 to both sides.
17x−116+116=0+116
17x=116
Step 4: Divide both sides by 17.
17x/17=116/17
x = 116/17