Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
AD = 9x + 3
DC = 57
ADC is a line, which is perpendicularly bisected by
BD.
Thus AD = DC
9x + 3 = 57
9x = 57 – 3
9x = 54
x = 54/9
<span>x = 6</span>
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Answer: 
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Given: 
Find: 
Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7. We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.
<u>Plug in the values</u>
<u>Distribute</u>
<u>Add 8 to both sides</u>
Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.
Answer:
12 weekly payments
Step-by-step explanation:
Here, we want to get the number of weeks in which he made payment for the ring
We start by subtracting the deposit,
That would be;
225-75 = 150
Now, we proceed to divide what ie left by the weekly payment to get the number of weeks
That would be;
150/12.5 = 12
<u>Given</u>:
Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.
The marbles are selected by not replacing the drawn ones.
We need to the probability of selected a black marble and then a white marble without replacement.
<u>Probability</u>:
Let B denote the black marble.
Let W denote the white marble.
The probability of selecting a black marble is 
The probability of selecting a white marble without replacement is 
The probability of selecting a black marble and then a white marble without replacement is given by

Substituting the values, we get;



Thus, the probability of selecting a black marble and then a white marble without replacement is 