Which expression is equivalent to 5y–3? StartFraction 1 Over 125 y cubed EndFraction StartFraction 1 Over 5 y cubed EndFraction StartFraction 5 Over y cubed EndFraction StartFraction 125 Over y cubed EndFraction.

A.68

Linear pair of angles:

If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

Axiom- 1

If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.

Axiom-2

If the sum of two adjacent angles is 180° then the two non common arms of the angles form a line.

The two axioms given above together are called the linear pair axioms.

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Solution:

Given,

∠PQR = ∠PRQ

To prove:

∠PQS = ∠PRT

Proof:

∠PQR +∠PQS =180° (by Linear Pair axiom)

∠PQS =180°– ∠PQR — (i)

∠PRQ +∠PRT = 180° (by Linear Pair axiom)

∠PRT = 180° – ∠PRQ

∠PRQ=180°– ∠PQR — (ii)

[∠PQR = ∠PRQ]

From (i) and (ii)

∠PQS = ∠PRT = 180°– ∠PQR

∠PQS = ∠PRT

Hence, ∠PQS = ∠PRT

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Answer:

15 feet

Step-by-step explanation:

since its 2 inches to 1 foot, just divide the 30 inches by 2 to get 15 feet

Answer:

All real numbers.

Factors:

Answer: B

Step-by-step explanation:

Use the Pythagorean theorem; let the legs of the right trangle, a = 4 and b = 7:

c²=a²+b²

c²=4²+7²

c²=16+49

c²=65

c=√65 or c = 8.06

Therefore, B is the correct answer

Answer:

A is the answer

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

3x + 3y = -3 ------------(I)

-3x + 2y = 8 -----------(II)

Add both the equations and x will be cancelled and we can find the value of y

(I)          3x + 3y = -3

(II)       -3x  + 2y = 8     {Now add}

                    5y = 5

                      y = 5/5

y = 1

Now, substitute y = 1 in any of the equations. We are going to substitute in equation (I)

3x + 3*1 = -3

3x + 3 = -3

     3x = -3 - 3

     3x = -6

       x = -6/3

x = -2

The solution of the equation is the point of intersection.

Point of intersection = ( -2, 1)

[tex] - 3 + 2y = 8[/tex]

[tex]2y = 8 + 3[/tex]

[tex]2y = 11[/tex]

[tex]y = \frac{11}{2} [/tex]

[tex]3x + 3( \frac{11}{2} ) = - 3[/tex]

[tex]3x = 3 - \frac{33}{2} [/tex]

[tex]3x = \frac{6 - 33}{2} [/tex]

[tex]3x = \frac{ - 27}{2} [/tex]

[tex]x = \frac{ - 27}{6} [/tex]

Answer:

117

Step-by-step explanation:

38 + x + y = 180

x + y = 142

180 - 101 = 79

x + 79 = 142

x = 63

180 - 63 = 117

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Answer:

$14,182.43

Step-by-step explanation:

we have the equation [tex]29800(.94)^12[/tex] that is supposed to be to the 12th power. but we have the .94, since the 6% is a negative. a good starting point is always 1.00, since 1=100, and if it was increasing in value, it would be 1+.06, and if it was negative like this, it would be 1-.06, which is the .94 that we have. and we put it to the 12th power because there are 12 years, and it only depreciates once per year. hope this helps, please mark as brainlest.

Answer:

[tex]12 + 4b < 7.50b[/tex]

Step-by-step explanation:

Given

Reader' Book Club

[tex]Membership = \$12[/tex]

[tex]Book = \$4.00[/tex] per book

Perfect Page

[tex]Book = \$7.50[/tex] per book

Required

Write an inequality to represent the situation

Represent the number of books with b

First, we need to write an expression for Reader's book

This is:

= Membership + Books Read

[tex]12 + 4b[/tex]

For Perfect Page

This is

= Books Read

[tex]7.50b[/tex]

For Reader's club to be less than Perfect Page, we have:

[tex]12 + 4b < 7.50b[/tex]

Answers:

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

Explanation:

Any rhombus is a parallelogram, but not the other way around.

For any parallelogram, the opposite angles are congruent.

-8y-8 = 88

-8y = 88+8

-8y = 96

y = 96/(-8)

y = -12

Also, for any parallelogram, the adjacent angles are supplementary (meaning they add to 180).

(-3x+8) + (88) = 180

-3x+96 = 180

-3x = 180-96

-3x = 84

x = 84/(-3)

x = -28

And we can also say,

88 + (-9z-7) = 180

-9z+81 = 180

-9z = 180-81

-9z = 99

z = 99/(-9)

z = -11

Answer:

I'm surprised to inform you that yes, yes I do.

Step-by-step explanation:

If you didn't know, all those lines stand for something. Stand for an equation.

For example, let's take the first line shown, question number 5.

The line moves down on the number line, going from 4 all the way down to -6.

Since the dot is filled in, that means that the line includes 4, which means our answer's greater than or lesser than sign should have a line under it, meaning "or equal to".

A is the only reasonable answer for question 5, because it reads "X (which you could substitute for any point in the blue line) is less than or equal to 4."

If we use what we learned from question 5 for the next 3 questions, we could rightly say that the answer to 6 is D, the answer to 7 is C, and the answer to 8 is B.

If I'm wrong on any of these, feel free to scream profanities. Wouldn't be the first time.

Answer:

slope= 2 I case you need that :)

Answer:

Below.

Step-by-step explanation:

One way is to plot some points:

When x = 0, y = 2(0) - 4 = 4  So plot (0,-4).

In a similar way you can plot  when x = 1, y = 2(1) - 4 = -2 that is (1, -2).

Also 2(3) - 4 giving the point (3, 2).

Now draw a line passing through these 3 points.

If you cant draw a line through these points then Ive made a mistake in the calculations

Answer:

160 g of chocolate

Step-by-step explanation:

She is doing 4 times the recipe for 24 biscuits so you need to multiply by 4.

Answer:

266yd^2

Step-by-step explanation:

A = b x h

15.2 x 17.5 = 266

Answer:

m<AJK = 90 degrees

m<BKJ = 90 degrees

m<CLJ = 90 degrees

The line of the reflection has been returned to its original position.  Use the ruler to measure these two segments.

BK = 2.2 units

KB' = 2.2 units

Record the lengths of these segments.

AJ = 5.6 units

JA' = 5.6 units

Record the lengths of these segments.

CL = 3.8 units

LC' = 3.8 units

Which segments have equal lengths?

corresponding segments

Change the position of the line of reflection.  Does the line of reflection appear to be a perpendicular bisector of the segments that connect corresponding vertices?  

Yes

Answer:

they are all 90

Step-by-step explanation:

edg 2021

Answer:

y= -3/4 x+5

Step-by-step explanation:

Set up y= -3/4 x+b. Plug in the coordinate and you get b=5. So, you get your answer. Hope it helps :)

Are you asking for the formula of a line that passes through these points?

First you do $ 1,907.87 - $345 = $ 1562.87

then you do $995.42

which then means that her purse probably cost $995.42

Answer: Garrett tenía 72 barras MegaChoc y 64 Caramel Melties. Quería poner la mayor cantidad posible de barras de caramelo en bolsas sin mezclar los dos tipos. Cada bolsa necesitaba la misma cantidad de dulces. ¿Cuántas barras de chocolate puso en cada bolsa? A. 6 barras de dulce B. 7 barras de dulce C. 8 barras de dulce D. 9 barras de dulce

Step-by-step explanation: A

Answer:

Step-by-step explanation:

A 10= 4 plus 6

Answer:

Step-by-step explanation:

(-b±√b²-4ac)/2a

(4±√-4²-4(2)(3))/2(2)

(4±√16-24)/4

(4±√8)/4

=4+√8    ║4-√8

 --------      --------

    4             4

idont know kung tama ba ito

or

(2x-3) (x-1)=0

2x-3=0  x-1=0

2x=3        x=1

x=3/2     x=1

We have that Solution to the quadratic equation 2x² - 4x + 3 = 0​ is

Root [tex]x= 1 + 0.707i[/tex]

Root [tex]y= 1 - 0.707i[/tex]

From the question we are told that

2x² - 4x + 3 = 0​

Generally the equation for solving Quadratic equation is  is mathematically given as

([tex](x,y)=\pm b\frac{\sqrt{}b^2-4ac}{2a}\\\\(x,y)=\pm b\frac{\sqrt{(-4)^2-4*2*3}}{2*2}[/tex]

From the Deductions

Root x= 1 + 0.707i

Root y= 1 - 0.707i

Therefore

Solution to the quadratic equation 2x² - 4x + 3 = 0​ is

Root [tex]x= 1 + 0.707i[/tex]

Root [tex]y= 1 - 0.707i[/tex]

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The equation of the quadratic function represented by given table is f(x) = -0.25x² -x + 3.

Given table is:

x        y

-3       3.75

-2         4

-1        3.75

0         3

1         1.75

Let us say the quadratic function is:

f(x) = ax² +bx + c

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are non-zero.

When, x=0, f(x) =3

So, 3 = c

So, f(x) = ax² +bx +3

When, x=1, f(x) =1.75

1.75 = a+b+3

a+b = -1.25........(1)

When, x=-1, f(x) =3.75

3.75 = a-b+3

a-b = 0.75........(2)

Solving equations (1) and (2)

a = -0.25

b = -1

So quadratic function will be:

f(x) = -0.25x² -x + 3

Therefore, the equation of the quadratic function represented by given table is f(x) = -0.25x² -x + 3.

To get more about quadratic equations visit:

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Answer:

A. True

Step-by-step explanation:

This statement is true because 1.0 kg. is equal to 1,000 grams. If we multiply 2.26x1,000, you get 2,260g.

Answer:

[tex] 8.7 \times {10}^{ - 2} [/tex]

Step-by-step explanation:

[tex].087 = 8.7 \times {10}^{ - 2} \\ [/tex]

Answer:

Step-by-step explanation:

Need help too

The area of the triangle is 62.8 Square cm

The figure represents the given parameter

From the figure, we have the following values

a = 10 cm

b = 13 cm

C = 105 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 10 * 13 * sin(105 degrees)

Evaluate

Area = 62.8

Hence, the area is 62.8 Square cm

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Answer:

1/2

Step-by-step explanation:

took the test