In the two-column proof below, provide a reason for each statement.
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The ∠4 (which is equal to ∠2) and ∠13 are congruent (∠4 ≅ ∠13) because they both form part of the angles that add up to 180 degrees. In the given conditions, we have ∠2 ≅ ∠1 (given), and ∠7 and ∠13 are supplementary angles.
Supplementary angles add up to 180 degrees, so we can conclude that ∠7 + ∠13 = 180 degrees.
Now, we can use the fact that ∠2 ≅ ∠1 to deduce that ∠2 = ∠1.
Since ∠7 and ∠13 add up to 180 degrees and ∠2 = ∠1, we can deduce that ∠2 + ∠13 = 180 degrees.
This means that ∠4 (which is equal to ∠2) and ∠13 are congruent (∠4 ≅ ∠13) because they both form part of the angles that add up to 180 degrees.
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In the two-column proof below, provide a reason for each statement. Given: ∠ 2 ≅ ∠7 and ∠7 and ∠13 are supplementary angles Prove: ∠4 ≅ ∠13
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The sum of a number and 18 times its reciprocal is 11. Find the number(s). Let x represent the unknown number. The Reciprocal of x is____?
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Answer:
B, C, D, F
Step-by-step explanation:
to simplify the fraction 48/64, you need to divide both the numerator and denominator by their common factors. B is correct since you can divide both by 16, C is correct since both are divisible by 8, D is correct since both are divisible by 4, and F is correct since both are divisible by 2. A, however, would be correct only if the fraction were 64/48 and E would only be correct if 9 was a factor of 48 and 12 was a factor of 64, however neither haev such factors.
D(4, 4)
D(3, 3)
D(8, 4)
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Answer:
The correct option is;
D(4, 4)
Step-by-step explanation:
The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB
The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)
Therefore, for, the segment AB, we have;
m = (7 - 3)/(8 - 2) = 4/6 = 2/3
m = 2/3
Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2
The equation of the segment CD in point and slope form is therefore;
y - 1 = -3/2×(x - 6)
y - 1 = -3·x/2 + 9
The standard form of the equation of the segment CD is therefore;
y = -3·x/2 + 9 + 1 = -3·x/2 + 10
y = -3·x/2 + 10
The point that satisfies the above equation is the point (4, 4) because;
4 = -3 × 4/2 + 10
The correct option is therefore, D(4, 4).
(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)
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we will proceed to verify each case to determine the solution
remember that
case A)
applying distributive property
------> is not a real number
therefore
the case A) is not a real number product
case B)
applying distributive property
------> is not a real number
therefore
the case B) is not a real number product
case C)
applying difference of square
------> is a real number
therefore
the case C) is a real number product
case D)
applying distributive property
------> is not a real number
therefore
the case D) is not a real number product
the answer is
Answers
Answer: Vector Resolution
Step-by-step explanation:
Vector components can form right triangle, since one acts vertically and the other acts horizontally. Thus, the original vector forms the hypotenuse of the right triangle formed by its components.
The process of breaking a vector down into its components is called vector resolution.
3x+2y= 9
14x + 10y = 14
Answers
Answers
The 108 square root value to the nearest tenth is approximately 10.4
What is 108 square root to the nearest tenth?
The square root of a number represents a value that, when multiplied by itself, results in the original number. In this case, we're looking for the square root of 108. We can use various methods such as long division, approximation techniques, or calculators to find this value.
When we calculate the square root of 108, we get a value of approximately 10.392304845413264.
However, since we are asked to round to the nearest tenth, the value becomes 10.4.
This means that when you square 10.4 (10.4 * 10.4), you get approximately 108.16, which is close to the original value of 108.
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Answer:
the square root would be 10.4