The system of equations n=m and n=4m is the point (0,0). which of the following statements is true. a. (0,0) is a solution to n=m and to n=4m. b.no point no the line n=m is also on the line n=4m. c.every solution to n=m is also a solution to n=4m. d.the graph of the solution is parallel lines.

A. (0,0) is a solution to n=m and to n=4m.

The equations can be solved by any of the usual means. Using substitution, we have ...

... m = n = 4m

... m(4 -1) = 0 . . . . subtract the left side

... m = 0 . . . . . . . . divide by 3

... n = m = 0

The solution is (m, n) = (0, 0).

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°