Answer:
45
Step-by-step explanation:
follow the table of 9.
9x2=18
9x3=27
9x4=36
<u>9x5=45</u>
Look at the picture.
Corresponding Angles are equal.
Alternate Angles are equal.
Consecutive Angles add up to 180°.
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3a and 45 are Consecutive Angles. Therefore
3a + 45 = 180 |subtract 45 from both sides
3a = 135 |divide both sides by 3
<h3>a = 45.</h3>
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(2c - 1) and 45 are Corresponding Angles. Therefore
2c - 1 = 45 |add 1 to both sides
2c = 46 |divide both sides by 2
<h3>c = 23.</h3>
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3a and (12b + 3) are Alternate Angles. Therefore
3(45) = 12b + 3
135 = 12b + 3 |subtract 3 from both sides
132 = 12b |divide both sides by 12
<h3>b = 11.</h3>
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to call the numbers x and y.
A number is equal to twice a smaller number plus 3.
Greater number is x, and smaller is y. So

The same number is equal to twice the sum of the smaller number and 1.
This means that 
Equaling the values for x:



Since division by 0 does not exist, it means that there is no solution for the system.
For this case we have that by definition, the equation of the line of the point-slope form is given by:

Where:
m: It's the slope
It is a point through which the line passes
According to the given statement we have:

Substituting we have:

Finally, the equation is:

Answer:

Answer:
k = 2
Step-by-step explanation:
Fill in the given point values and solve for k.
y = (1/2)x + k
1 = (1/2)(-2) +k . . . . . . for x = -2, y = 1
1 = -1 +k . . . . simplify; next, add 1
2 = k