I need this done asap!

See Below.

Step-by-step explanation:

We want to write a paragraph proof to prove the following theorem:

If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.

Each sentence is numbered:

1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.

2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.

3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.  

4) The Division Property of Equality then yields m∠M = 90.

5) Substitute m∠N for m∠M to get m∠N = 90.

6) By the definition of right angles, ∠N and ∠M are right angles.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length