Answer:∠1 and ∠5
Step-by-step explanation:
(A) ∠3 and ∠6 forms the interior angles on the same side of the transversal. Thus, this option is incorrect.
(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.
(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.
(D) ∠6 and ∠7 forms the linear pair on the straight line a, thus this option is incorrect.
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation 
is zero
<u>Solution:</u>
For a Quadratic Equation of form : 
---- eqn 1
The solution is 
Now , the given Quadratic Equation is ---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In , 
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation
Since -3 is less than 0, this means that there are 0 real solutions in this equation.
Two figures are congruent if and only if there exists one or more rigid motions which will map one figure onto the other.
1. Triangles ABC and MNP are not congruent.
2. Triangles ABC and EFG are not congruent
3. Triangles ABC and STU are congruent.
4. Triangles EFG and MNP are congruent.
5. Triangles EFG and STU are not congruent.
6. Triangles STU and MNP are not congruent.
3 / 25 = x / 100
<span>23/25 = 0.92 = 92/100 </span>
<span>x = 92%</span>
Answer:
- 75 and - 28
Step-by-step explanation:
To evaluate f(6) substitute x = 6 into f(x)
f(6) = - 2(6)² - 3 = - 2(36) - 3 = - 72 - 3 = - 75
Similarly
g(5) = - 5(5) - 3 = - 25 - 3 = - 28
