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marshall27 [118]
4 years ago
14

If two triangles are created using the same 3 lengths for their corresponding segments will the triangles be congruent

Mathematics
1 answer:
Alja [10]4 years ago
8 0
Yes they will by the SSS postulate
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Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Pani-rosa [81]

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

3 0
3 years ago
Seven times the sum of 7 and some number is -7. what is the number?
irga5000 [103]

Answer:c

Step-by-step explanation:

3 0
4 years ago
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The length of the window is 2m longer than its width and the are is 32m²
nata0808 [166]
The last part is confusing but how I think it is is you multiply 32 by 2 and subtract 2
8 0
3 years ago
If x = -2 and y = 5, then x3y =
sergiy2304 [10]

Answer:

-30

Step-by-step explanation:

x*3y=(-2)*3(5)=-2*15=-30. Hope this helps!

3 0
4 years ago
Read 2 more answers
(02.02 LC)<br> If g(x) = x2 – 4, find g(5)
never [62]

g(5) means we substitute every x in the equation with a 5.

g(5) = (5)^2 - 4.

g(5) = 21.

4 0
4 years ago
Read 2 more answers
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