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Lesechka [4]
3 years ago
7

Rotations. Please help me

Mathematics
1 answer:
densk [106]3 years ago
8 0

See the attached picture.

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the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.​
Talja [164]

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

<em><u>Recall:</u></em>

  • The slopes of the opposite sides of a parallelogram are always parallel.
  • When two lines have a slope that is equal, the lines are said to be parallel to each other.

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

  • Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

Learn more about parallelogram on:

brainly.com/question/3050890

4 0
2 years ago
Find an equation of the parabola with focus (2, −3) and directrix y = 1.
Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

5 0
3 years ago
Is this SAS or Not SAS
Nikolay [14]

Answer:

yes it is sas

Step-by-step explanation:

because one side is shared, they both have right angles and the other side is a given.

4 0
3 years ago
Read 2 more answers
The ages of members of an online gaming group are normally distributed with a mean of 23 years and a standard deviation of 4 yea
Lelechka [254]
To get the number of members between 15 years and 30 years we proceed as follows:
z=(x-μ)/σ
where:
mean,μ=23
standard deviation, σ=4 years
thus
P(15<x<31)
when x=15
P(x<15)
z=(15-23)/4
z=-2
thus
P(x<15)=P(z<-2)=0.0228

when x=31
z=(31-23)/4
z=2
thus
P(x<31)=P(z<2)=0.9772
Hence:
P(15<x<31)=0.9544
hence the number of members between that age was:
0.9544×300
=286.32 people
~285 People
Answer: 285 people

5 0
4 years ago
2. Railyn is saving for a laptop computer. She already has
jeyben [28]

x = number of weeks which is some positive whole number

50x = amount saved after x weeks, when saving $50 per week

50x+800 = add on the 800 she already has

The expression 50x+800 is the total money saved. We set this equal to the 1150 to set up the equation we're after

<h3>Answer:  50x+800 = 1150</h3>
5 0
3 years ago
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