Answer:
- If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°
Statements and Reasons:
3. Angle C is 90 degrees because of the definition of right angle.
4. Angle A + angle B + angle C is 180 degrees because of triangle sum.
5. Angle A + angle B + 90 = 180 because of substitution postulate.
6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).
7. Angle A and angle B are complementary.
Answer:
The missing number is 21
Step-by-step explanation:
-12 + x = 9
x = 9 + 12
x = 21
Slope-intercept form is written as <em>y = mx + b</em>, where m is the slope and b is the y-intercept.
From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).
The equation to find the slope is:
m = 
Let's substitute in our values:
m = 
Remember that two negatives make a positive, let's solve for m:
m = 
Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).
Therefore we can determine that b = -6.
Let's substitute our value for m and our value for b into the slope-intercept formula:
y = mx + b
<u>y = </u>
<u>x + -6</u>
There's your final answer! I hope this helps, have a great night. :)
Answer:
The sum of two numbers is 84:
u + y = 84
The difference of the two numbers is 32:
u - y = 32