Answer:
5 degrees
Step-by-step explanation:
Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.
Solve Algebraically
5x+23=7x+13
5x+10=7x
10=7x-5x
10=2x
<h2>x=5</h2><h2 />
N = 5m
n = m + 36
since n is equal to both the expression in m we can say:-
5m = m + 36
4m=36
m = 9
and n = 5*9 = 45
Answer: 6 units
Step-by-step explanation:
You count the numbers between A and C
Answer:
10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)
Step-by-step explanation:
The sum of the two roots is ...
... (5 -3i) +(5 +3i) = 10
In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.
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<em>How Do We Know?</em>
When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...
... (x -a)(x -b) = x² -(a+b)x +ab
Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.
