Can someone help me to solve this question? Prove that the quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1)is a trapezium.Find the area of trapezium ABCD. Also Can you tell how to find the height of trapezium with vertices without knowing the area? Thank you.

Answers

Answer 1

If the height of the trapezium is 7 units. Then the area of the trapezium will be 31.5 square units.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1).

The lines AB and CD are parallel to the y-axis. Then the quadrilateral ABCD is a trapezium.

The height of the trapezium will be 7 units.

The area of the trapezium will be

Area = 1/2 (2 + 7) x 7

Area = 0.5 x 9 x 7

Area = 31.5 square units.

More about the trapezium link is given below.

https://brainly.com/question/22607187

#SPJ1

Related Questions

Please can anybody help me with this:
Show that (x − 9)(x − 1) ≡ x^2 − 10x + 9

Answers

We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² + -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

please explain every step

Answers

Answer:

761680

Explanation:

[tex]\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}[/tex]

Identify the following's:

First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r] = 1.2

Total Terms [n] = 44

===========================

[tex]\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}[/tex]

===========================

Solving Steps:

[tex]\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}[/tex]

[tex]\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}[/tex]

[tex]\rightarrow \sf 761679.5808[/tex]

[tex]\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)[/tex]

kite EFGH is graphed on the coordinate plane. three of its verticies are E(1,6), F(3,5), and G(4,-3). what are the coordinates of the fourth vertex, H?

Answers

The coordinates of the fourth vertex, H is; (-6.056, 7.302)

How to find the Coordinates of a Kite?

A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.

We are given the coordinates of its' vertices as;

E(1,6), F(3,5), and G(4,-3).

The two diagonals are perpendicular;

Slope of EG = (-3 - 6)/(4 - 1)

Slope of EG = -9/5

Equation of line passing through G is;

y = mx + c

-3 = -9/5(4) + c

-15 = -36 + 15c

c = 51/15 = 17/5

y = (-9/5)x + 17/5 ------(1)

Equation of line passing through F is;

y = mx + c

6 = (5/9)(1) + c

54 = -9 + 9c

c = 7

y = (5/9)x + 7 -----(2)

Solving eq 1 and eq 2 simultaneously gives;

x = -1.528 and y = 6.151

If (a, b) are coordinates of vertex H, then;

(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151

Thus;

a = -6.056 and b = 7.302

Read more about Kites coordinates at; https://brainly.com/question/27761176

#SPJ1

A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°. Is Charlene’s definition valid?

Answers

Answer:

YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE

Step-by-step explanation:

i got it right on TTM

#95 will give brainliest to best answer!

Answers

Answer:

3/10

Step-by-step explanation:

The probability of drawing a blue card first is 3/5 (3 blue cards out of a total of 5 cards). Then the probability of drawing a blue card again will be 2/4 (the blue card you drew first is removed so there are only 2 blue cards and 4 total cards). Now we multiply the probabilities together to get the probability of drawing a blue card, not replacing it, and then drawing another blue card = (3/5)(2/4) = 6/20 = 3/10.

Hope this helps! :)

Brian bought 22 pounds of flour for $10. How many pounds of flour did he get per dollar?

Answers

Answer:

$2.20

You do 22÷10 and you get 2.20

Can someone say the answer to this question with steps?
¬

Answers

Answer:

729

Step-by-step explanation:

......................
[tex]3 \times (6 + 2) - 3 + 4 \div 2 =[/tex]

Answers

Answer:

Step-by-step explanation:

Follow the PEMDAS order of operations

3 x (6 + 2) - 3 + 4 ÷ 2

Parenthesis (P):

(6 + 2) = (8)

Exponents (E):

none

Multiply/Divided (MD) left to right:

Multiply: 3 x 8 = 24

= 24 - 3 + 4 ÷ 2

Divided: 4 ÷ 2 = 2

= 24 - 3 + 2

Add/Subtract (AS) left to right:

Subtract: 24 - 3 = 21

= 21 + 2

Add: 21 + 2 = 23

HOWW DO I DO THIS????
WEIRD EXACT TRIG QUESTION (cannot use a calculator)

Answers

Answer:

[tex]\huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]

Step-by-step explanation:

[tex]\sin \angle ABC =\frac{p}{30}......(1)[/tex] (Given)

In [tex] \triangle ABC,[/tex] sin ratio of [tex] \angle ABC[/tex] can be given as:

[tex]\sin \angle ABC =\frac{AC}{AB}[/tex]

[tex]\implies \sin \angle ABC =\frac{2p+10}{80}......(2)[/tex]

From equations (1) and (2), we find:

[tex] \frac{p}{30}=\frac{2p+10}{80}[/tex]

[tex]\implies 80(p)=30(2p+10)[/tex]

[tex]\implies 80p=60p+300[/tex]

[tex]\implies 80p-60p=300[/tex]

[tex]\implies 20p=300[/tex]

[tex]\implies p=\frac{300}{20}[/tex]

[tex]\implies p=15[/tex]

[tex]\implies \sin \angle ABC =\frac{15}{30}[/tex]

[tex]\implies \sin \angle ABC =\frac{1}{2}[/tex]

[tex]\implies \sin \angle ABC =\sin 30\degree\:\:\:\:(\because \sin 30\degree=\frac{1}{2})[/tex]

[tex]\implies \huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]

how do you find surface area of a rectangular prism

Answers

Answer:

To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

x-intercept: (4, 0), (-5, 0)

y-intercept: (0, -20)

Explanation:

x² + x - 20x² + 5x -4x -20x(x+ 5) -4(x +5)(x-4)(x + 5)

Their x-intercept: (at x intercept, y will be 0)

(x-4)(x + 5) = 0x = 4, x = -5

Their y intercept: (at y intercept, x will be 0)

y = (x-4)(x + 5)y = (0-4)(0 + 5)y = -20

Answer:

x-intercepts : (4, 0) and (-5, 0)y-intercept : (0, -20)

Step-by-step explanation:

Finding x-intercept(s)

The x-intercept's y-coordinate will be 0⇒ 0 = (x - 4)(x + 5)⇒ x = 4 and x = -5The x-intercepts are : (4, 0) and (-5, 0)

Finding y-intercept

The y-intercept's x-coordinate will be 0⇒ y = 0² + 0 - 20⇒ y = -20The y-intercept will be (0, -20)

Simplify the expression. Write your answer as a power.
64⁴/64³
The simplified expression is

Answers

Answer:

[tex]64^1\:\text{or}\:64[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{64^4}{64^3}=64^{4-3}=64^1=64[/tex]

Step-by-step explanation:

64^4/64^3= 64^(4-3)= 64^1= 64

what is the area of a cylinder

Answers

A cylinder's volume is =

π r² h,

and its surface area is =

2π r h + 2π r².

Can someone help me with this please

Answers

I have the same name as you my name is also Jocelyn

A hotel with 80 rooms has 45 for doubles
and 35 singles. Singles can be booked in
any room, but reservations for two or
more people must be booked in double
rooms.
Let x be the number of single reservations and y
the number of reservations for two or more.
Which system of inequalities represents this
situation?
Click on the correct answer.
x ≥ 35 x + y ≤ 80
y ≤ 45 x + y ≤ 80
x≤ 35 x+y≤ 80
y≥ 45 x + y ≤ 80

Answers

Answer:

y ≤ 45

Step-by-step explanation:

First y must be less than or equal to 45.

y ≤ 45 x + y ≤ 80

And total number of reservations cannot exceed 80:

x + y ≤ 80.

2. Mrs.Anub is sad because 75% of her pupils failed in the Summative Test.If 40 pupils failed in the test,how many pupils does she have.in the class?
Copy and answer:
a. What is asked in the problem?

b.What are the given facts?

c. What is the formula to be used to solve the problem?

d.What is the number sentence?

e.Solve and show your solution...

e.Write the answer...

Answers

Answer:

1. How many pupils does Mrs.Anub have in all

I am sorry but I could only solve question 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. How many pupils does she have in the class?

b. 40 pupils failed in the test.

c. x = all pupil in the class

percentage

d. 75/100 x = 40

e. 75/100 x = 40

x = 40*100/75

= 53.33

pupils = 53 people

f. There are 53 pupils in the class.

Cuanto es El 15% de1.340 es

Answers

Hey there!

15% * 1.340

= 15/100 * 1.340

= 0.15 * 1.340

= .15 * 1.34

= 0.201

Therefore, the answer should be: 0.201

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

100 divided by 360 please help I’m gonna cry

Answers

Simple division.

360 ÷ 100 = 3.6

[tex]\bf{\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace3.\emptyspace6\:\:\:\:\:\:\:\:\:\\ 100\overline{|\smallspace360.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}}[/tex]

I hope it helps you...Salu2!!!!

Answer:

0.277778

Step-by-step explanation:

hope this helps also please don't cry everyone loves you

Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation, and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Answers

What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.

What is the correlation between variables?

Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.

Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values of the other will decrease.

Find out more about positive correlation here:

https://brainly.com/question/4219149

#SPJ4

Which transformations would result in the image shown?

ABCD is reflected over both axes.
ABCD is translated right 4 units and down 3 units.
ABCD is reflected over the x-axis and translated right 4 units.
ABCD is reflected over the y-axis and translated down 3 units.
Best answer gets brainliest!

Answers

Answer:

the answer is reflected over both axes hope this helped

Graph the following system of inequalities.
y≤ 2c + 1
y<-x-1

Answers

For equation 1:

y ≤ 2c + 1

y intercept = (0, 1)

x intercept = (-0.5, 0)

Graph Plotted Below the Line

For equation 2:

y < -x -1

y intercept = (0, -1)

x intercept = (-1, 0)

Graph Plotted Below the Line

Option B is correct

Convert the polar coordinates (3, -5 pi/3). to rectangular coordinates.

Answers

Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3) = 1.5

y = 3 sin (-5pi/3) = 2.598

Hello guys can someone please help me?
ASAP?
Ill give points and brainliest
THANK YOU!!!

Answers

Answer:

[tex]4^{4}[/tex]

[tex](-7)^{6}[/tex]

5x5x5x5

Step-by-step explanation:

The exponent sign shows how many times you will multiply the base number by itself

[tex]4^{4}[/tex] is saying "multiply 4 by itself 4 times" which is the same as 4x4x4x4

[tex](-7)^{6}[/tex] is saying "multiply -7 by itself 6 times" which is the same as -7x-7x-7x-7x-7x-7

Can someone help

kaitlin buys candy that costs $8 per pound. she will spend less than $40 on candy. what are the possible numbers of pounds she will buy?
use p for the number ofpounds kaitlin will buy.
write your answer as an inequality solved for p.

Answers

Answer:

x≤5p

Step-by-step explanation:

40/8=5 Kaitlin can buy UP TO 5 pounds of candy at $8/pound. So she will buy less than or equal to 5 pounds

Identify the equations of ellipses whose major axis lengths are twice their minor axis lengths.

Answers

The equations of ellipses whose major axis lengths are twice their minor axis lengths are

(x - h)²/4b² + (y - k)²/b² = 1 and (x - h)²/b² + (y - k)²/4b² = 1

To answer the question, we need to know what an ellipse is.

What is an ellipse?

An ellipse is part of a conic section.

The equation of the ellipse

The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is

(x - h)²/a² + (y - k)²/b = 1

The equation of ellipse with major axis x-axis

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/a² + (y - k)²/b² = 1

(x - h)²/(2b)² + (y - k)²/b² = 1

(x - h)²/4b² + (y - k)²/b² = 1

The equation of ellipse with major axis y-axis

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/b² + (y - k)²/a² = 1

(x - h)²/b² + (y - k)²/(2b)² = 1

(x - h)²/b² + (y - k)²/4b² = 1

So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are

(x - h)²/4b² + (y - k)²/b² = 1 and (x - h)²/b² + (y - k)²/4b² = 1

Learn more about ellipse here:

https://brainly.com/question/25950359

#SPJ4

What is the best way to get points on DRFROSTMATHS? BRAINLIEST TO BEST ANSWER!

Answers

Answer:

You can see your total points on your dashboard. You can see points for individual topics on the Topic Explorer. After answering each question you will see how your points have changed.

Step-by-step explanation:

PLEASE HURRY!!
What is the slope of the line that passes through (1, 4) and (-3, -3)?
A. -7/4
B. 7/4
C. -4/7
D. 4/7

Answers

Answer:

The slope of the line is option B

what is the slope this? please help thanks

Answers

Answer: the area of the X???

Step-by-step explanation:

the slope is 1/4

because it goes across by 4 and up by 1

Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?

Answers

Answer:

13x+50=641.50, where x is the about of hours Luke worked. (x=45,5[h])

What is the scale factor of the dilation of triangle def? three-tenths three-sevenths seven-thirds 7

Answers

The scale factor of the dilation of triangle def is three-tenths i.e. 3/10

How to determine the scale factor of dilation?

From the complete question, the corresponding sides are:

DE = 10

D'E' = 3

The scale factor k is then calculated using"

DE * k = D'E'

So, we have:

10* k = 3

Divide both sides by 10

k = 3/10

Hence, the scale factor of the dilation of triangle def is three-tenths i.e. 3/10