Since angles 1 and 2 are supplementary, then we know they add to equal 180°. We also know that both angles are congruent. By the given information, we can find that both angles 1 and 2 are right angles. This is because 180/2=90 and a 90° angle is better known as a right angle. That is the only statement that will always be true with the given information. Angles don't have to be adjacent for them to be supplementary, we don't know the location of the angles, so they might be vertical angles, but that might not always be true, and it says the angles are supplementary, so they couldn't be complimentary.
In synthetic division we write only the coefficients of the dividend inside an upside-down division symbol. As we can clearly see from the picture given to us in the question, the coefficients of the dividend inside the upside-down division symbol are 2, 10, 1 and 5.
Now, from the given options, the only option that matches the given coefficients is the second option which is:
.
Thus, the second option,
, is the correct option.
The value of b is 12.5 and the value of YZ is 100
<h3>How to determine the variable and yz?</h3>
The given parameters are:
XY = 6b
YZ = 8b
XZ = 175
This means that
XZ = XY + YZ
So, we have:
6b + 8b = 175
Evaluate the sum
14b = 175
Divide by 14
b = 12.5
Substitute b = 12.5 in YZ = 8b
YZ = 8 * 12.5
Evaluate
YZ = 100
Hence, the value of b is 12.5 and the value of YZ is 100
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Answer:
A
Step-by-step explanation:
The commutative property of addition states changing the order of the numbers doesn't not change the sum. The order changed but the numbers stayed the same and as a result the same.