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QveST [7]
2 years ago
4

Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply

.
A. Corresponding parts of similar triangles are similar.
B. Alternate interior angles are supplementary.
C. Alternate interior angles are congruent.
D. Corresponding parts of congruent triangles are congruent.,
Mathematics
1 answer:
pickupchik [31]2 years ago
3 0

The opposite sides of a parallelogram can be proved congruent by joining the diagonal of the parallelogram and proving the two triangles congruent by ASA .In any parallelogram opposite sides are parallel.We prove the triangles to be congruent by taking the property of parallel lines that  Alternate interior angles are congruent.

When the triangles are proved congruent the opposite sides of parallelogram can be proved equal by using the property Corresponding parts of congruent triangles are congruent.,

The options which hold true to prove opposite sides of a parallelogram are congruent are options C and D.

C. Alternate interior angles are congruent.

D. Corresponding parts of congruent triangles are congruent.,

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The average annual return is

\displaystyle ((1+0.119)(1+0.056)(1+01.64)(1-0.042))^{\frac{1}{4}}-1=\sqrt[4]{1.317687706368}-1\\\\ \approx 7.14\%

8 0
2 years ago
The team first experiments with changing the position of the curved pit. In the computer program, the
Tju [1.3M]

Answer:

1). Shifted 2 units right.

2). Shifted 2 units left.

3). Shifted 2 units up.

4). Shifted 2 units down.

Step-by-step explanation:

Parent quadratic function is,

y = x²

1). When curved pit of the parent function is shifted 2 units right,

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     y = (x - 2)²

2). The curved pit is shifted 2 units left,

     y = (x + 2)²

3). The curved pit is shifted  2 units up,

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4). The curved pit is shifted 2 units down,

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6 0
2 years ago
The coordinate values of the vertices of △klm are integers. triangle klm has vertices located at (1, 1), (5, 4) and (5, 1). whic
worty [1.4K]
The rest of the queastion is :
<span> A) (-1, 1), (-1, 4), (2, 1)
B) (0, 0), (3, 4), (0, 5)
C) (-1, 1), (-4, 5), (-1, 5)
D) (0, 0), (-5, 0), (0, 4)
==============================
</span>

<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


we have <span>K(1, 1), L(5, 4) and M(5, 1)
we will find the length between each two points.
KL = </span><span>d = \sqrt{ (5-1)^{2} + (4-1)^{2} } = 5
</span>LM = <span>d = \sqrt{ (5-5)^{2} + (1-4)^{2} } = 3
KM = </span><span>d = \sqrt{ (5-1)^{2} + (1-1)^{2} } = 4

now check each group from the choices
the group that will give the same result will be the correct choice.
</span>The correct choice is C
<span>C) (-1, 1), (-4, 5), (-1, 5)

check the answer;
</span><span>K'(-1, 1), L'(-4, 5), M'(-1, 5)
</span>
<span>K'L' = <span>d = \sqrt{ (-4+1)^{2} + (5-1)^{2} } = 5
</span>L'M' = <span>d = \sqrt{ (-1+4)^{2} + (5-5)^{2} } = 3
K'M' = </span><span>d = \sqrt{ (-1+1)^{2} + (5-1)^{2} } = 4</span></span>
6 0
2 years ago
Elena is feeding her neighbor's dogs each dog gets two thirds cup of dog food and she uses three and one third cups of food how
MrRa [10]

Answer:

Total number of dogs is 5.

Step-by-step explanation:

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A total of three and one-third cups of food is used up.

Let the number of dogs be x.

To find the number of dogs,divide total dog food used by the amount of dog food eaten by each dog.

Hence,  x  =\frac{\frac{10}{3} }{\frac{2}{3} }

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Deffense [45]
Let no. of adult tickets be x and senior citizen tickets be y. x + y = 556 22x + 12y = 8492 Solving by simultanous equations, x = 182 adult tickets y = 374 senior citizen tickets
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