Julia has determined that CE is perpendicular bisector of AB. The next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
<h3>What is the Perpendicular Bisector Theorem?</h3>
The perpendicular bisector theorem states that if a point is located on a segment (perpendicular bisector) that divides another segment into two halves, then it is equidistant from the two endpoints of the segment that is divided.
Thus, since Julia has determined that CE is perpendicular bisector of AB, therefore the next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
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Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. <u><em>Complex number:</em></u> is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. <u><em>Imaginary part of a complex number</em></u>: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. <em><u>Real part of a complex number</u></em>: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. <u><em>i:</em></u> a number defined with the property that 12 = -1.
5. <em><u>Multiplicative inverse</u></em>: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. <em><u>Imaginary number</u></em>: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. <em><u>Complex conjugate</u></em>: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Answer:
x = 114
Step-by-step explanation:
180 - 105 = 75
39 + 75 = x
x = 114
The value of the expression for the given values of a and b is -1
<h3>Evaluating an expression</h3>
From the question, we are to evaluate the given expression for the given values of a, b, and c
The given expression is
a + b
The given values are
a = 4,
b = -5,
and
c = -8
To evaluate the given expression for the given values of a and b, we will put the values of a and b into the expression,
That is,
a + b becomes
4 + -5
= 4 -5
= -1
Hence, the value of the expression for the given values of a and b is -1
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Multiply 7 x 12 which is 84, 8x2 is 16, 16 divded by 3 is 5, so 5 minutes