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Assoli18 [71]
3 years ago
11

With which set of information can you construct a unique triangle?

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0
The answer is the lengths of all the sides/D you welcome
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Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two
Zigmanuir [339]

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let (-11,7) be x_1 and y_1, and (-5,1) be x_2 and y_2

Plug in the numbers:

d=\sqrt{(-5-(-11))^2+(1-7)^2

d=\sqrt{6^2+(-6)^2}

d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8

4 0
3 years ago
Which similarity statement describes the polygons?
iren2701 [21]

Answer:

△ABC∼△EDF

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve the system of equations: <br> X+y+z=5<br> -3x-4y+4z=15<br> 2x-y-4z=-8
atroni [7]

Answer:

  (x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

  z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  \left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

  -3x -4y +4(5 -x -y) = 15   ⇒   -7x -8y = -5

  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

  -7(-5y -7) -8y = -5   ⇒   27y = -54   ⇒   y = -2

  x = -5(-2) -7 = 3

  z = 5 -(3) -(-2) = 4

_____

<em>Additional comment</em>

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

6 0
2 years ago
Please help!!!!me!!!!!!
stich3 [128]

Answer:

y= 163 because of vertical angle

4 0
3 years ago
Read 2 more answers
Please help i am confused i appreciate answers!!!
inysia [295]
The answer is b :) have a good day
5 0
2 years ago
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