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Stells [14]
3 years ago
12

What is the solution of each proportion?

Mathematics
2 answers:
Oxana [17]3 years ago
7 0

Answer:

The polygons are not similar.

vovikov84 [41]3 years ago
6 0

Answer:

The polygons are not similar.

Step-by-step explanation:

They do not have proportional side lengths, so they are not the same

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A parallelogram is a _____. (Choose all that apply)
Mama L [17]

Answer:

Quadrilateral

Step-by-step explanation:

The definition of a parallelogram is a quadrilateral that has two sets of parallel sides.

3 0
3 years ago
Read 2 more answers
Part 2: Use the information provided to write the vertex form equation of each parabola.
Serggg [28]

Answer:   1.  x = -2(y - 4)² + 1

                2.  x = -y² + 5

                3.  y = -5(x + 1)² + 2

<u>Step-by-step explanation:</u>

Notes: The vertex formula of a parabola is x = a(y - k)² + h  or  y = a(x - h)² + k

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus

    \bullet\quad a=\dfrac{1}{4p}

1)

\text{Vertex}=(1,4)\qquad \text{Focus}:\bigg(\dfrac{7}{8},4\bigg)\\\\\text{Given}: (h,k)=(1,4)\\\\\\p=focus-vertex=\dfrac{7}{8}-\dfrac{8}{8}=\dfrac{-1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{8})}=\dfrac{1}{-\frac{1}{2}}=-2

Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h

x = -2(y - 4)² + 1

***********************************************************************************

2)

\text{Vertex}=(5,0)\qquad \text{Directrix}:x=\dfrac{21}{4}\\\\\text{Given}: (h,k)=(5,0)\\\\\\p=vertex-directrix=\dfrac{20}{4}-\dfrac{21}{4}=\dfrac{-1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{4})}=\dfrac{1}{-1}=-1

Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h

x = -1(y - 0)² + 5    →    x = -y² + 5

***********************************************************************************

3)

\text{Vertex}=(-1,2)\qquad \text{Directrix}:y=\dfrac{41}{20}\\\\\text{Given}: (h,k)=(-1,2)\\\\\\p=vertex-directrix=\dfrac{40}{20}-\dfrac{41}{20}=\dfrac{-1}{20}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{20})}=\dfrac{1}{-\frac{1}{5}}=-5

Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k

y = -5(x + 1)² + 2

8 0
3 years ago
What is the answer to the problem
vovikov84 [41]

Answer: 6

Step-by-step explanation: DE is 4+2 so EF would be the same if it is equal.

3 0
3 years ago
Please help asap I need it in an hour
iVinArrow [24]

Answer:

Step-by-step explanation:

Angle PRS and RPQ are right angles. Segment SP is also congruent to segment QR. This means that triangle PRS and RPQ are right angle triangles.

Segment SP and segment QR are the longest sides and thus, the hypotenuse of each triangle. It means that the hypotenuse are congruent

The hypotenuse leg theorem states that any two right triangles are congruent if they have a congruent hypotenuse and a corresponding congruent leg. Therefore,

Angle PSR is congruent to angle RPQ and

Triangle PSR is congruent to triangle RPQ

6 0
4 years ago
What is the solution to the system of equation
Alla [95]

Hello,

Please, see the attached file.

Thanks.

8 0
4 years ago
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