Consider the figure below. If you were to make a quadrilateral by rotating triangle RST 180° about U, which type of quadrilateral would form?

Answer:

x=1, y=4

Step-by-step explanation:

x+y=5 - (1)

y=3x + 1 (2)

Sub (2) into (1)

x + (3x +1)=5

4x=5-1

x=4 ÷4

=1

Sub x=1 into (2)

y=3(1)+1

= 4

Hope it helps

Have a good day

0= 2/3x-4

0=2x -12

-2x-12

×=6

Answer:

Step-by-step explanation:

It’s 180°. The sum of the angles in a triangle is ALWAYS 180°.

Answer:

very easy

Step-by-step explanation:

(10-7)x4

3x4=12

hope it helps you

mark me as brainlist

Answer:

Step-by-step explanation:

6¼ ft - 8¾ ft = -2½ ft

(-2½ ft)/(1⅔ min) = (5/2 ft)/(5/3 min)

= (5/2)/(5/3) ft/min

= (5/2 × 3/5 ft)/min

= 1.5 ft /min

The required change in elevation of butterfly is 1.5 ft\min.

Given that,

A butterfly is flying [tex]8\frac{3}{4}[/tex] feet above the ground.

It descends at a steady rate to a spot [tex]6 \frac{1}{4}[/tex] feet above the ground in [tex]1\dfrac{2}{3}[/tex] minutes.

We have to determine,

The butterfly’s change in elevation each minute.

According to the question,

Change in elevation = butterfly flying above ground - it descends at a steady rate to a spot above the ground ,

[tex]= 8\dfrac{3}{4} - 6\dfrac{1}{4}\\\\= \dfrac{35}{4} - \dfrac{25}{4}\\\\= \dfrac{10}{4}\\\\= \dfrac{5}{2}\\\\= 2.5 feet[/tex]

Then,

To find Change in elevation per minute,

[tex]= T = 1\dfrac{2}{3} = \dfrac{5}3}[/tex]

Therefore,

Change in elevation per minute,

[tex]= \dfrac{2.5}{\frac{5}{3}} = 2.5 \times \dfrac{3}{5} = 1.5 \ ft \ per\ minute[/tex]

Hence, The required change in elevation of butterfly is 1.5 ft\min.

To know more about Division click the link given below.

https://brainly.com/question/7719375

Answer:

smallest = 22

largest = 68

Step-by-step explanation:

To find the larger number, you take the average of the sum and the difference.

90 + 46 = 136/2 = 68

To get to the sum, you must add 22.

To get to the difference you must subtract 22.

68+22 = 90

68-22 = 46

Answer:

a= 50 c=20  50+20=70 450+100

Step-by-step explanation:

good luck on tes t man

Answer:

no solution

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

There are no real solutions.

Answer:

y - 6 = (-1/2)(x - 4)

Step-by-step explanation:

As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4.  Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.

The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.

Using the point-slope formula, we get the following equation for the perpendicular line:

y - 6 = (-1/2)(x - 4)   (  obtained using the point (4, 6)  )

Answer:D

Step-by-step explanation:

Neither data set has suspected outliers response best describes outliers in the data sets.

Option A is correct.

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

According to question

Reading:

Median = [tex]\frac{7+12}{2}[/tex] = 9.5

[tex]Q_{1}[/tex] = 5 × 25% + 7 × 75% = 6.5

[tex]Q_{3}[/tex] = 14 × 25% + 12 × 75% = 12.5

IQR is the difference between Q3 and Q1

IQR = [tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 12.5 - 6.5 = 6

[tex]Q_{1}[/tex] - 1.5 IQR = 6.5 - 1.5 × 6 = -2.5 < Min = 5

[tex]Q_{3}[/tex] + 1.5 IQR = 6.5 + 1.5 × 6 = 15.5 > Max = 15

So no outlier in reading

Video :

[tex]Q_{1}[/tex] = 7 × 75% + 4 × 25% = 6.25

[tex]Q_{3}[/tex] = 21 × 25% + 18 × 75% = 18.75

IQR is the difference between Q3 and Q1.

IQR = [tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 18.75 - 6.25 = 12.5

[tex]Q_{1}[/tex] - 1.5 IQR = 6.25 - 1.5 × 12.5 = -12.5 < Min = 1

[tex]Q_{3}[/tex] + 1.5 IQR  = 18.75 + 1.5 × 12.5 = 37.5 > Max = 26

So no outlier in video

So neither data set has suspected outliers.

Option A is correct.

Find out more information about IQR here

https://brainly.com/question/15448232

#SPJ3

Answer:

$1411

Step-by-step explanation:

Answer: 714.29

Step-by-step explanation: This is right if we add the 71 cent to the equation

Step-by-step explanation:

1x 6.5 = 6.5

6.5 x 25 = 162.5 miles

Answer:

d=8$

Step-by-step explanation:

Answer:

739.8 ft

Step-by-step explanation:

Answer:

60%

Step-by-step explanation: 24/40 equals .6. Multiply .6 by 100 to get your percentage, which equals 60%. hope this helps

Answer:

8(203-2xz)

1624-16xz

have a great day :)

Answer:

2(2x^2-2y^2+811-8xz)

Step-by-step explanation:

Rewrite as :

=[tex]2*2x^2-2*2y^2+2*811-2*8xz[/tex]

Factor out common term 2:

[tex]=2(2x^2-2y^2+811-8xz)[/tex]

Answer:

6squared+6squared+12squared=216 then double 216 hope this is it!

Step-by-step explanation:

Answer:

b)  180 cm²

Step-by-step explanation:

find area of square = 6 x 6 = 36

find area of one triangle = 1/2(6)(12) = 3(12) = 36

There are 4 congruent triangles, so 36 x 4 = 144

36 + 144 = 180

Answer:

A

Step-by-step explanation:

The reflected rays come from a point on the reflective surface. That point is where the lines meet is the vertex.

Answer:

slope=m=4/9

(x',y')=(5,14)

(x",y")=(-4,y)

we have

m=(y"-y')/(x"-x')

4/9=(-4-5)/(y-14)

4y-56=-81

4y=-81+56

y=-25/4

Answer: y = 10

Step-by-step explanation:

The slope of a line is the rise/run, so if you want to find the slope of a line between two points, you can take the change in y between the two points and divide it by the change in x.

The change in y would be (y2 - y1), where y2 is the y position of the second point and y1 is the y position of the first.

In a similar manner, to find the change in x, we can use (x2 - x1), where x2 is the x position of the second point and x1 is the x position of the first.

Now that we have the change in x and the change in y, we can make an equation to find the slope (which is change in y / change in x):

m = (y2 - y1) / (x2 - x1)

Now we can assign the points:

Point 1 is (5, 14)

Point 2 is (-4, y)

(Note: You could flip which point is which, and it wouldn't change the final answer, I'm just assigning these so you know where the x and y values are coming from when I plug the values into the equation)

Now that we have both points, we can plug the values into the equation:

m = (y2 - y1) / (x2 - x1)

m = (y - 14) / (-4 - 5)

m = (y - 14) / (-9)

There's one piece of information we haven't used yet, which will help us solve for the value of y. What we need to use is the slope (which is given to us as 4/9).

Plugging in the value of the slope will let us get y:

m = (y - 14) / (-9)

4/9 = (y - 14) / (-9)

-4 = (y - 14)

(Note: We're multiplying both sides by -9, don't forget about the negative sign)

-4 = y - 14

y = -4 + 14

y = 10

Answer:

x = 4

Step-by-step explanation:

the explanation is given in the picture...

Answer:

Given:

The table of value of a linear function.

To find:

The linear function in slope intercept form.

Solution:

Slope intercept form:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

Consider any two points from the given table.

It is clear that the linear function passes through the points (1,0) and (2,5). So, the equation of the linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\dfrac{5-0}{2-1}(x-1)[/tex]

[tex]y=\dfrac{5}{1}(x-1)[/tex]

[tex]y=5(x-1)[/tex]

Using distributive property, we get

[tex]y=5(x)+5(-1)[/tex]

[tex]y=5x-5[/tex]

Therefore, the slope intercept form of the given linear function is [tex]y=5x-5[/tex].

Answer:

k = 24, y = 24x

Step-by-step explanation:

Given x and y are proportional then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = 72, x = 3 , then

72 = 3k ( divide both sides by 3 )

k = 24

y = 24x ← equation of proportion

Answer:

8/3

Step-by-step explanation:

Step-by-step explanation:

check once if your question is correct because -7-(-7)=0 and -12/0 is infinity. but the formula is same to calculate slope.

Answer:

8/15

Step-by-step explanation:

4x2=8

5x3=15

Answer:

8/15

Step-by-step explanation:

First you multiply 4 by 2 and 5 by 3

4*2 = 8

5*3 = 15

Finally you have your answer!

8/15

Answer:

D

Step-by-step explanation:

Answer:

less than

Step-by-step explanation: