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jekas [21]
3 years ago
13

If KM is drawn on this quadrilateral, what will be its length ???

Mathematics
2 answers:
torisob [31]3 years ago
8 0
It should be 18 units

neonofarm [45]3 years ago
7 0

Answer:

B. 18

Step-by-step explanation:

We have been given an image of a quadrilateral and we are asked to find the length of segment KM.

We can see from our given quadrilateral that its two sides are parallel that is KL||JM.

We can also see that its two opposite sides are equal that is JK=ML.

Since we know that an equilateral trapezoid has parallel bases and equal opposite sides or legs, therefore, our given quadrilateral is an equilateral trapezoid.

Since diagonals of equilateral trapezoid are congruent, therefore, the length of KM is 18 units and option B is the correct choice.

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Softa [21]
You would have $550.30
3 0
3 years ago
Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0
2 years ago
Please help equation below
qaws [65]

Answer:

3y √21 + 2 y√15

Step-by-step explanation:

To simply, we open up the bracket

We have this as;

√(189y^2) + √60y

= 3y √21 + 2 y√15

7 0
3 years ago
A = bh/2 solve for b
rjkz [21]
A =  \dfrac{bh}{2}

Cross multiply:
2A = bh

Divide by h on both sides:
b =  \dfrac{2A}{h}
8 0
3 years ago
Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about
Nitella [24]
Answer:

B

Explanation:

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
8 0
3 years ago
Read 2 more answers
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