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3 years ago

6

A polygon that has 2 pairs of parallel sides, 2 pairs of sides equal in length, and 2 acute and 2 obtuse angles.

1 answer:

Irina-Kira [14]3 years ago

7 0

A trapezoid. The tom and bottom are parallel to each other as the sides are congruent. The top to angles are greater than 90 degrees (obtuse) and the bottom two angles are less than 90 degrees (acute).

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Find the solution to the system of equations 2x + y = 3 and x - y = 3.

IRISSAK [1]

Answer:

(2, - 1 )

Step-by-step explanation:

2x + y = 3 → (1)

x - y = 3 → (2)

adding the 2 equations term by term will eliminate y

3x + 0 = 6

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

2(2) + y = 3

4 + y = 3 ( subtract 4 from both sides )

y = - 1

solution is (2, - 1 )

6 0

2 years ago

Read 2 more answers

The ratio of the lengths of the sides of △ABC is 2:3:4. Points M, N, and K are the midpoints of the sides. Perimeter of △MNK equ

laila [671]

Answer: Hence, the length of sides will be 3.2 in, 4.8 in., 6.4 in.

Explanation:

Since we have given that

Ratio of lengths of the sides of ΔABC is 2:3:4

So, the length of first side 'AB' be 2x

Length of second side 'BC' be 3x

Length of third side 'AC' be 4x

Now, we have given that M,N,K are the midpoints of the sides ,

As shown in the figure below:

As we know the Mid-point theorem which states that the line joining the midpoints is always parallel to the third side and half to the third side too.

So by applying this we get,

Length of MN is given by

$\frac{4x}{2}=2x$

Length of NK is given by

$\frac{2x}{2}=x$

Length of MK is given by

$\frac{3x}{2}=1.5x$

Also, we have given that perimeter of ΔMNK is 7.2 in.

So,

$MN+NK+MK=7.2\\x+2x+1.5x=7.2\\4.5x=7.2\\x=1.6$

So, the length of AB is given by

$2x=2\times 1.6=3.2\ in.$

Length of AC is given by

$3x=3\times 1.6=4.8\ in.$

Length of BC is given by

$4x=4\times 1.6=6.4\ in.$

Hence, the length of sides will be 3.2 in, 4.8 in., 6.4 in.

3 0

4 years ago

1. Solve for x.

Allushta [10]

Answer:

i am able to do this only

hope this might help you

3 0

4 years ago

3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4

weqwewe [10]

<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0

4 years ago

What is the answer to 4+4-(5-1)

Zanzabum

Your answer would be 4 you go with P.E.M.D.A.S so (5-1)= 4 then 4+4=8-4=4

6 0

4 years ago