Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.

Answers

Answer 1

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium


Related Questions

helppppppp really please.

Answers

Answer:

x ≈ 101.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )

x × tan44° = 98 ( divide both sides by tan44° )

x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )

If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Answers

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement

Answers

Answer:

AUB= {1,2,3,5,6,7,9}

AnB={1,2,3}

Which expressions are equivalent
27x/9x

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You have [tex]\frac{27x}{9x}[/tex]

You can factor out the x in the numerator and denominator to get [tex]\frac{27}{9}[/tex]

You can further simplify this by factoring out a 9 => [tex]\frac{3(9)}{(9)}[/tex]

Thus getting 3

Sum one helpppp meeeee

Answers

Answer:

Step-by-step explanation:

total cost of the meal = $120

tip = 20%

tip amount = ?

total cost of the meal with tip = ?

tip amount = tip% 0f total cost of the meal

=20/100 * $120

=$2400/100

=$24

total cost of the meal with tip = total cost of the meal without tip + tip amount

=$120 + $24

=$144

A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?

Answers

Answer:

See the explanation below

Step-by-step explanation:

Number of months =4

Number of copies =450000

Number of pages =60

Number of copies in 4 months =450000*4

=1800000

Number of pages is

=1800000 *60

=108,000,000

At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017

Answers

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

Find the area of triangle.

Answers

Answer:

16cm2

Step-by-step explanation:

(1/2) × 8 ×4=16cm2

the answer is 16 cm squared

Answer:

The area is 16 cm^2

Why? Below I explain.

Step-by-step explanation:

In that triangle, there are 2 sides, so you need to use this formula:

B * H / 2

Using those values:

4 * 8 / 2 is equal to 16.

Square root of 556516 by long division method.​


Please any Mathematics Moderator:(


Help me please!:(

Answers

Step-by-step explanation:

hear is your answer but I am not moderator

answer is 746

Which function has zeros at x = -2 and x = 5? ​

Answers

Answer:

f(x) = x² - 3x - 10

Step-by-step explanation:

Given zeros x = - 2 and x = 5, then the corresponding factors are

(x + 2) and (x - 5) , so

f(x) = (x + 2)(x - 5) ← expand using FOIL

     = X² - 3X - 10

Answer:

f(x) = x² - 3x - 10

(option D)

Step-by-step explanation:

hey, pls help, i'll mark brainliest if ur answer is correct

20% of the roses Annette picked from a rose garden were red. If she picked 10 red roses, how many roses did she pick from the garden?

a. 50 roses

b. 40 roses

c. 30 roses

d. 20 roses

Answers

Answer:

the answer is A

Step-by-step explanation:

20% + 20% = 40% = 20 Red roses

40% + 40% = 80% = 40 Red roses

80% + 20% = 100% = 50 Red Roses

7.2 cm
6 cm
15 cm
8 cm

Answers

Answer:

i need to know the answer or the question plz

find the Hcf of 15 30 90​

Answers

Answer:

15=3*5

30=5*6

90=5*3*5*2*3

So, HCF=15

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

Hey there!

HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.

The given numbers are: 15,30,90.

15 = 3*5

30 = 2*3*5

90 = 2*3*3*5

Now, from the above solutions take all the common factors.

From the factors of all three numbers, 3*5 are common.

Therefore, the HCF of the numbers is 3*5 = 15.

Hope it helps!

2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.

Project Erie

Time 0 1 2 3 4 5

Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250


Answers

Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1

Answers

Answer:

the answer is 77.1

Work out angle bxc give a reason for each angle you work out

Answers

Answer:

is there a pic to go along?

Step-by-step explanation:

? i need a pic

Describe the pattern and determine what the next number in pattern 6,1,-4,-9,-14 , ?

Answers

Answer:

i subtract 5 from each term

Step-by-step explanation:

6 - 1 = 5

1 - (-4) = 5

-4 - (-9) = 5

-9 - (-14) = 5

edited:

next number: -19

-14 - 5 = -19

hope this helped!

minus 5 every time is the pattern

Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?

Explain how to use an area model to solve the problem.

Answers

Answer:

possibly 11 hours on each which is embarrassing

Estimate the perimeter and area of the figure to the nearest whole number. Please help!!

Answers

Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

[tex]\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}[/tex] = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

Area of the rectangle = 6 x 3 = 18 square units

Area of the triangle =  (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units

the perimeter of a rectangle is 56 meters. Find the dimensions of the rectangle if they are in the ratio 1:3

Answers

Answer:

length= 7m and breadth= 21m

Step-by-step explanation:

Perimeter=56m

Perimeter of a rectangle= 2(l+ b)

Dimensions in the ratio 1:3

1:3= 1x and 3x

Take length as 1x and breadth as 3x

2(1x+3x)= 56m

2(4x)= 56

8x=56

x= 56/8 = 7m

length= 1x= 7m

breadth= 3x= 3*7 = 21m

Please mark me as brainliest

What is the value of the expression below?

2[3(4+1)]-2

Answers

Answer:

28

Step-by-step explanation:

2[3*5]-2

2*15-2

30-2

28

seratus di tambah dua puluh berapa?​

Answers

Answer:

120

Step-by-step explanation:

▶️ Penyelesaian:

100

20 +

120 ✅

Answer:

what?

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box release mouse evaluate

Answers

Answer:

1/9

Step-by-step explanation:

0.1(repeating)

Help me to do this question plz ​

Answers

2x+10 = x+25 (being vertically opposite angle)

2x-x = 25-10

x = 15

Answer:

x = 15

Step-by-step explanation:

The 2 angles are vertical angles and congruent, then

2x + 10 = x + 25 ( subtract x from both sides )

x + 10 = 25 ( subtract 10 from both sides )

x = 15

Representa en lenguaje algebraico el siguiente enunciado: La mitad de un número aumentado en seis unidades

Answers

A: because I get it right

does anyone know how to solve this?

Answers

Answer:

[tex]x=360[/tex]

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

[tex]m<MON = MN\\[/tex]

Substitute,

[tex]x=2\pi[/tex]

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

[tex]degree=\frac{\pi}{180}radians[/tex]

Substitute,

[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]

Simplify,

[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      [tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]

             [tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]

part A: Which expression can be used to find the value of x in the triangle shown?
part B: write the value of x to the nearest tenth.

Answers

Answer:

D and x=11.55

Step-by-step explanation:

Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?

Answers

Answer:

90 hours of training would you need to pay

Answer:

90hours

Step-by-step explanation:

Addition of 10 hours= Addition of 150$

an=a+(n-1)d

2450=1250+(n-1)(150)

120/15=n-1

8+1=n

n=9

and 9x10=90 (each n=10hours)

Thus:

B. 90 hours

Brianliest please

Which of the equations below represents a line perpendicular to the yaxis?
A. y= -6
B. x= 6
C. y=6x
D. y=x

Answers

Answer:

A. y=-6

Step-by-step explanation:

Using the answer, it would make a horizontal line which would be perpendicular to the y axis.

A is the answer y=-6

Find the zeros of the function f(x) = (x + 2)(x - 3)(x + 12)

Answers

Step-by-step explanation:

f(x) = (x + 2)(x - 3)(x + 12) = 0

(x + 2)(x - 3)(x + 12) = 0

so, the zeros of the function :

=> x1 = -2

=> x2= 3

=> x3 = -12

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