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3 years ago

Please help. What additional information is needed to prove the triangles are congruent by the SAS Postulate

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

7 0

Hey! The answer would be AB=AD because you need the given side length to come to a consensus that the sides are congruent as well, since one angle is already proven congruent. The side is the last missing one.

valina [46]3 years ago

6 0

AB- AD would be the answer dud.

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What is the value of x

Anit [1.1K]

The answer maybe 1/2

8 0

3 years ago

Represent each of these relations on {1, 2, 3, 4} with a matrix (with the elements of this set listed in increasing order). a) {

Irina-Kira [14]

Answer:

for a a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

$\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]$

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

$\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]$

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

$\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]$

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

$\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]$

Step-by-step explanation:

in matrix, arrays are placed in rows , which represents the horizontal sides from left to right, while arrays in the column are placed vertically from top to bottom. Here, we placed the arrays in a 4x4 matrix

for a a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

$\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]$

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

$\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]$

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

$\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]$

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

$\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]$

7 0

3 years ago

Can somebody help mee plzzzzzzzz

hammer [34]

Answer:

lines a and b are parallel. The slopes are -1/3

None of the lines are perpendicular to each other.

Step-by-step explanation:

To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:

line a: This line goes down one every time it goes over 3, which can be represented by -1/3

line b: This lines goes down one every time it goes over 3, which can also be written as -1/3

line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2

When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.

When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.

Hope this helps :)

7 0

3 years ago

What is the volume of this square pyramid?

tatuchka [14]

Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

$V = \frac{a^2h}{3}$