What is the length of vz?
O 2 units
O 6 units
O 8 units
0 10 units

Answer:

The area of the trapezium is 216 cm²

Step-by-step explanation:

The parameters of the trapezium are;

The point of intersection of the diagonals ac and bd = point o

The area of ΔCOD = 24 cm²

The area of ΔAOB = 96 cm²

Let h represent the height of the trapezium and let x represent the height of triangle ΔCOD, we have;

The height of ΔAOB = h - x

Therefore;

The area of ΔCOD = (1/2) × The length of CD × x = 24

∴ The length of CD = 24/((1/2) × x) = 48/x

The area of ΔAOB = (1/2) × The length of AB × (h - x) = 96

The length of AB = 96/((1/2) × (h - x)) = 192/(h - x)

The area of the trapezium, A = ((48/x + 192/(h - x))/2) × h

We note that ΔCOD ~ ΔAOB, therefore;

(AB)²/(CD)² = (h - x)²/x² = (arΔAOB)/(arΔCOD) = 96/24 = 4

∴ √((h - x)²/x²) = (h - x)/x = √4 = 2

∴ h - x = 2·x

h = 2·x + x = 3·x

A = ((48/x + 192/(h - x))/2) × h

∴ A = ((48/x + 192/(2·x))/2) × 3·x = ((48 + 192/(2))/2) × 3 = 216

The area of the trapezium, A = 216 cm².

Step-by-step explanation:

(A) We can shift f(x) to the left or up, both resulting in a transformation to g(x) if the values are right.

If we shift all of the values of f(x) to the left, forming a horizontal translation, we can get g(x)

Similarly, if we shift all of the values of f(x) up, forming a vertical translation, we can get g(x)

(B) k represents how much a graph is shifted up or down. In a horizontal translation, we do not shift k up or down, making it 0

In our second, we can make k 10 as the values of g(x) are 10 steps higher than

(C) First, we can see that the values of g(x) are two steps to the left of f(x). As   shifts a graph to the left h units, we can turn  into  to get g(x)

Next, as stated previously, we can see that the values of g(x) are 10 steps higher than f(x). As fx* + k shifts a graph up k units, we can turn  into  +10 to get g(x)

* this is f(x), needed to bypass content filter

In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.

Answer:

0.000032 and 0.0000064

Answer:

4/8 = 1/2

Step-by-step explanation:

hope it thepled u

Answer:

V = 1436.0 in ^3  with 3.14 for pi

or

V = 1436.8 in ^3 with the pi button

Step-by-step explanation:

V = 4/3 pi r^3

The radius is 7

V = 4/3 pi (7)^3

V = 4/3 ( 3.14) (7)^3

V =1436.02666 in ^3

V = 1436.0 in ^3

If you use the pi button

V = 4/3 pi 7^3

V = 1436.75504

V = 1436.8 in ^3

Answer:

32x^2+4x

3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)

Answer: hi

Step-by-step explanation: siodrifjojseidufjsoidhfidshiufhoiersdnfiojdriofjoiedsjfpoiejdpoigheroiuhgoiutrhfbiukghvioruefdhgbiuktrhdfiougkhneoiuwhsrdtifu[tex]\lim_{n \to \infty} a_n \geq \alpha \leq \sqrt{x} \\ \pi \geq \lim_{n \to \infty} a_n \left \{ {{y=2} \atop {x=2}} \right. x^{2} \frac{x}{y} \frac{x}{y}[/tex]

Answer:

oh no

Step-by-step explanation:

Answer:

∠TSR ∠S

Hope this helps! :)

Answer:

Step-by-step explanation:

√144 < √169

Answcăn169

Step-by-step explanat

ion:cvăn  144

x is all real numbers.

Step-by-step explanation:

The domain is the possible values of x.

In this case, when y = 1.5, x can be any number. In other words, all real numbers.

Additionally, the domain can be represented as:

Df = {x: x <== all real numbers} or

Df = {x: x <== R}

9514 1404 393

Answer:

  4 and 35

Step-by-step explanation:

Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.

Answer:

10

Step-by-step explanation:

We need to find the greatest number of student among whom 120 oranges and 130 apples can be divided equally.

​It means we need to find the HCF of 120 and 130.

HCF is highest common factor.

The HCF of 120 and 130 is 10.

So, the greatest number of student is 10.

Answer:

Complementary angle of 30° is 60°.

Step-by-step explanation:

The complementary angles are the angles whose sum is 90.

If one angle is x then the other angle is 90 - x, they both are complementary to each other.

One angle is 30°, so the other angle is 90° - 30° = 60°

Answer:

The average speed is 465 mph

Step-by-step explanation:

1860/4 = 465

Answer:

The average speed is 465 mph

Step-by-step explanation:

Average speed = distance/time

1860 miles / 4 hours = 465 mph

Answer:

(x, y) = (-1/2, 1/3)

Step-by-step explanation:

Given the simultaneous equation

x+y/ху=1. ...1

x-y/xy = 5 .... 2

From 1; x+y = xy ...3

From 2; x - y = 5xy ...4

Substituting 3 into 4

x - y = 5(x+y)

x - y = 5x + 5y

x - 5x = 5y + y

-4x = 6y

-2x = 3y

x = -3y/2 ... 4

Add 3 and 4

2x = 6xy

2 = 6y

y = 2/6

y = 1/3

x = -3(1/3)/2

x = -1/2

Hence (x, y) = (-1/2, 1/3)

Include options please

The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"

The question is given as:

"how old is my mathematics teacher?"

A statistical question is such that requires statistical data to be answered or completed.

A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"

Read more about statistical question at:

https://brainly.com/question/15980493

[tex]\longrightarrow{\green{x\:=\:6}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex] \:\frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]

➝[tex] \: 2(3x + 2) = 4(x + 4)[/tex]

➝[tex] \: 6x + 4 = 4x + 16[/tex]

➝[tex] \: 6x - 4x = 16 - 4[/tex]

➝[tex]\:2x = 12[/tex]

➝[tex] \: x = \frac{12}{2} [/tex]

➝[tex] \: x = 6[/tex]

Therefore, the value of [tex]x[/tex] is 6.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➪ [tex] \: \frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]

➪ [tex] \:\frac{3 \times 6 + 2}{4} = \frac{6 + 4}{2} [/tex]

➪ [tex] \:\frac{18 + 2}{4} = \frac{10}{2} [/tex]

➪ [tex] \:\frac{20}{4} = 5[/tex]

➪ [tex] \: 5 = 5[/tex]

➪ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]

Answer:

3.14 million

Step-by-step explanation:

I already answered it on the 1st post

Answer:

3.14 million is the correct answer

Answer:

1248 cm^2

Step-by-step explanation:

Volume = Length · Width · Height

Volume = 24 · 6 · 5

Volume = 720 cm^2

Volume = Length · Width · Height

Volume = 8 · 6 · 11

Volume = 528 cm^2

528 + 720 = 1248

Answer:

1248 cm³

Step-by-step explanation:

V = lwh

V = 24 cm × 6 cm × 5 cm

V = 720 cm³

V = lwh

V = 8 cm × 6 cm × 11 cm

V = 528 cm³

720 cm³ + 528 cm³

1248 cm³

Answer:

1 and 3

Step-by-step explanation:

This value is approximate.

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

Work Shown:

area = 0.5*side1*side2*sin(included angle)

area = 0.5*AB*AC*sin(A)

area = 0.5*11*18*sin(55)

area = 81.0960523846101

area = 81.1 cm^2

The cm^2 refers to "square cm".

Notice that the angle must be between the two sides, hence the "included".

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

Answer:

D. y+1=3(x+1)

Answer:

38°.

Step-by-step explanation:

A triangle adds up to 180°.

CAB= 78°

But we minus 78° from 46°:

32°.

As a triangle adds up to 180°,

110+32= 142°.

180-142= 38°.

To see if we are correct:

38+32+110= 180°.

Hope this is okay!

1.34

Step-by-step explanation:

1.34 1.34 1.34 1.34 1.34

Answer: 67°

Step-by-step explanation:

Complementary angle refers to the angle that when added together will be equal to 90°.

Let the measurement of the angle's complement be x.

Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,

x + 2x + 21 = 90

3x + 21 = 90

3x = 90 - 21

3x = 69

x = 69°/3

x = 23°

Therefore, the angle will be:

= 2x + 21

= 2(23°) + 21°

= 46° + 21°

= 67°

The angle is 67°.

Answer:

What I did not understand the question properly.Is it a original question

Answer:

[tex]2.7 \times 10^{ - 3} [/tex]

[tex]6.1 \times 10^{5} [/tex]

[tex]9.582 \times 10^{6} [/tex]

Step-by-step explanation:

-

Answer:

B,C,D

Step-by-step explanation:

Answer:

Draw QS so that S is the midpoint of PR, then prove ΔPQS is congruent to ΔRQS using SSS.

Step-by-step explanation:

Explanation,

(For Proper Question And Diagram Please Find In attachment)

Solution,