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SpyIntel [72]
3 years ago
6

In quadrilateral ABCD seeing line A.B. is parallel to line cd which iadditional piece of information is needed to determine the

ABDC is a parallelogram

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

In a parallelogram, if one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.

Here you already know that sides AB and CD are parallel.

If sides AB and CD are also congruent, then quadrilateral ABCD is a parallelogram.

Answer: A.

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The vector ab has a magnitude of 20 units and is parallel to the<br> vector 4i + 3j.<br> find ab.
stepladder [879]

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j. Hence, The vector AB is 16i + 12j.

<h3>How to find the vector?</h3>

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given;

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j.

magnitude

\sqrt{4^2 + 3^2} \\\\\sqrt{16 + 9} \\\\= 5

Unit vector in direction of resultant = (4i + 3j) / 5

Vector of magnitude 20 unit in direction of the resultant

= 20  x (4i + 3j) / 5

= 4 x (4i + 3j)

= 16i + 12j

Hence, The vector AB is 16i + 12j.

Learn more about vectors;

brainly.com/question/12500691

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7 0
2 years ago
Given a line segment containing the points A,B, &amp; C, in order, if AB is 11 and BC is 12, then the length of AC would
Shalnov [3]

Answer: 23

Step-by-step explanation:

AB + BC = AC

AC = 11 + 12 = <u>23</u>

4 0
2 years ago
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

5 0
3 years ago
Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).
spin [16.1K]
Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0
3 years ago
Which of the following best describes the equation below? A. linear B. both linear and nonlinear C. neither linear nor nonlinear
Julli [10]

Answer:

Where is the equation at

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3 years ago
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