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3 years ago

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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Can someone please give me the (Answers) to this? ... please ...

ahrayia [7]

A.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.

b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.

c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.

Please give Brainliest! This took a lot of time!

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3 years ago

Read 2 more answers

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Answer:c

Step-by-step explanation:

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2 years ago

Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3

Vlada [557]

Answer:

5y+3x=-9

Step-by-step explanation:

Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the <u>slope-intercept form</u> of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.

From this problem, we are given both the slope and the y intercept. We know have the equation:

$y=-\frac{3}{5}x -3$

Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.

$y+\frac{3}{5} x=-3$

This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.

$5y+3x=-9$

<em>I hope this helps! Please let me know if you have any questions :)</em>

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3 years ago