The answer is C) m∠1 + m∠2 = 90
Explanation: So ∠1 is x and ∠2 is x-4
Basically you know than ∠3 is 90° ... And a straight line is 180° .. So technically we can just find out 180-90 is 90(the other angle 1 + 2).
To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-
So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°
In other words you can say m∠1 + m∠2 = 90
Answer:

Step-by-step explanation:
Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.

To further factor the expression break the polynomial into two binomials.
To factor into two binomials, find factors that multiply to -5 and add to -4.
-5 and 1 are factors and these make the binomials
.
The final factorization is 
Answer:
0.077
Step-by-step explanation:
From the table :
Number of students aged 31 - 35 = 60
Number of students over 35 = 26
Total number of students = total possible outcomes = 1123
Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86
Probability = required outcome / Total possible outcomes
Probability (at least 31) = 86 / 1123 = 0.0765
= 0.077 (3 decimal places)
N + 4.5 = 8.2
n = 8.2 - 4.5
n = 3.7
Both of those equations are solved for y. So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one. We set them equal to each other and solve for x. 4x-5=-3 and 4x = 2. That means that x = 1/2. We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.