Answer:
OPTION C
Step-by-step explanation:
78-39=39
so: 39+39=78 (b=39)
so: 39+b= 78
Answer:
The answer is -2.5.
Step-by-step explanation:
This is because the distance between -9 and 4 is 14 units. And the two numbers in the middle are -3 and -2, so -3 plus -2 equal -5 and -5 divided by 2 equals -2.5.
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
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Answer:
250 degrees
Step-by-step explanation:
The arc intercepted by the angle formed by a secant and a tangent is twice the measure of the angle. See the attached image. The intercepted arc measures 110 degrees.
x is the measure of the rest of the circle, so it is 360 - 110 = 250 degrees.
The series diverges. You Consider concluding this because the series is in arithmetic progression.
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
where d is the difference and a₁ is the first term of the sequence.
The given series of numbers 1/4+3/2+11/4+4+21/4+.... is an arithmetic series because the difference between any two consecutive terms is 5/4. Therefore, the blanks can be filled as,
The series diverges. You Consider conclude this because the series is in arithmetic progression.
Learn more about the Arithmetic sequence:
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