100 POINTS

PLEASE DO THESE FOUR QUESTIONS (even if it’s just one)

1. write a number sentence expressing the value of the missing angle in the diagram below

2. write a number sentence expressing the value of r in the diagram

3. label the diagram below so that one pair of parallel lines, and one pair of equal lines

4. use the index laws to simplify the expression below, giving your answer with positive indices. SHOW ALL WORKING OUT.

Answer:

C.

Step-by-step explanation:

integer is a positive and negative number. integer is not a whole number because negative is not part of the whole number.

Answer:

5H + 2R + 6

Step-by-step explanation:

7H + 2(R + 3) – 2H

7H + 2R + 6 - 2H

(7H - 2H) + (2R) + (6)

5H + 2R + 6

Answer:

Step-by-step explanation:

4) You just have to find the lcm of the denominators

a) lcm(4,3,6)=4*3=12

[tex]\dfrac{3}{4} x-\dfrac{2}{3} =\dfrac{1}{6}x\\\\12*(\dfrac{3}{4} x-\dfrac{2}{3}) =12*(\dfrac{1}{6}x)\\\\12*\dfrac{3}{4} x-12*\dfrac{2}{3} =12*\dfrac{1}{6}x\\\\9*x-8 =2*x\\\\9*x-2*x =8\\\\7*x=8\\\\x=\dfrac{8}{7} \\[/tex]

b) I don't know the name of the property but it is :

"We can multiply the two members of an equality by the same non-zero number, we obtain an equality. "

5)

[tex]-6x+10+8x=12-4x\\\\(-6x+10)+8x=12-4x\\\\8x+(-6x+10)=12-4x\\\\8x-6x+10=12-4x\\\\2x+10=12-4x\\....[/tex]

Lets write the repeatations

a=c.

Hence this data has no mode.

Answer:

x > 9

Step-by-step explanation:

since the dot is open there won't be a line under

Answer:

If a box hold 24 things, let represent the box as x.

Therefore x=24

How many boxes are needed to hold 744 tins::

more than x boxes is to 744.

Step-by-step explanation:

If a box(1) = 24

then how many boxes (x) will =744

1 : 24

x : 744

24x = 744

24 24

x = 31

Therefore 31 boxes will be needed.

Answer:

(6_4)(6+4)

6(6+4)-4(6+4)

36+24-24-16

36-16

Scaled drawing shows representation of the correct sizes of the original object either being reduced or enlarged by a given amount

The correct response to Andre is that each length of the sides of Jada's drawing should be multiplied by two to make a scaled copy of the drawing

The reason the response is correct is as follows:

Question: The parts of the question that appear missing is as follows;

1. Andre makes the statement, in order to obtain the scaled copy, should he add 4 units to each of the dimensions of the sides of Jada's drawing

The question is, what should be the response to Andre

The response is as follows:

When making a scale drawing, it should be noted that the original drawing and the scaled copy of the drawing are to be similar figures. That is the ratio of their corresponding sides should be constant

The ratio of the corresponding sides of the scale drawing Andre wants to make is 8 units/(4 units) = 2 : 1

Therefore, the correct response is Andre should multiply each of the lengths of the sides of Jada's drawing by two to make a scaled drawing as follows

[tex]\begin{array}{|c|c|c|}\mathbf{Length \ on \ Jada's \ drawing}& \mathbf{Length \times 2 =} &\mathbf{Length \ of \ Andre's \ scaled \ copy}\\&&\\12& 12\times 2 =&24\\10& 10\times 2 =&20\\7& 7\times 2 =&14\\6& 6\times 2 =&12\\5& 5\times 2 =&10\\4& 4\times 2 =&8\end{array}\right][/tex]

The lengths of Andre's scaled copy are 8 units, 10 units, 12 units, 14 units, 20 units, and 24 units

Please find attached the required scaled drawing

Learn more about scaled drawing here:

https://brainly.com/question/11911800

[tex]\\ \sf\longmapsto (2^a\times 3^{2b})^5=6^{20}[/tex]

[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=(2\times 3)^{20}[/tex]

[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=2^{20}\times 3^{20}[/tex]

On comparing

[tex]\\ \sf\longmapsto 5a=20[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{20}{5}=4[/tex]

And

[tex]\\ \sf\longmapsto 10b=20[/tex]

[tex]\\ \sf\longmapsto b=\dfrac{20}{10}=2[/tex]

Answer:

[tex]3(4 {x}^{2} {y}^{3} + 2 {x}^{3}) - 4(9 {x}^{3} {y}^{2} - 6 {x}^{2} {y}^{3} ) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) - (36{x}^{3} {y}^{2} - 24{x}^{2} {y}^{3}) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) + ( - 36{x}^{3} {y}^{2} + 24{x}^{2} {y}^{3}) \\ = - 36{x}^{3} {y}^{2} + 36x^{2} {y}^{3} + 6 {x}^{3} [/tex]

I hope I helped you^_^

Answer:

x = ±sqrt(14)

Step-by-step explanation:

x^2 = 14

Take the square root of each side

sqrt(x^2) = ±sqrt(14)

x = ±sqrt(14)

Answer: -37/100

Step-by-step explanation:

Given

-0.37

Convert to division form (Any division that can get -0.37)

-37 ÷ 100

Convert to fraction

[tex]\boxed{-\frac{37}{100} }[/tex]

Finally, always make sure the final fraction is no longer divisible.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

There are 3 prime factors for 375 (1,3,5)

Step-by-step explanation:

Prime factors are prime numbers meaning they can't be further divided by a whole number.

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

Answer:

The mean means there are as many points below as above the mean point. Adding pairs of points to the left and right of the mean does not change the mean since the count on the left and right change at the same rate.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6-(-8÷4)+1

6--2+1

6--1

5

Answer:

x = -2

Step-by-step explanation:

Given f(x) = 3x – 1

f(x) = -7

3x-1 = -7

3x = -7+1

3x = -6

x = -2

Answer:

x = -22

Step-by-step explanation:

given:

[tex]f(x) = 3x - 1[/tex]

solve for x, when:

[tex]f(x) = -7[/tex]

replace x with -7

~~~~~~~~~~~~

➡️ [tex] x = 3(-7) - 1 [/tex]

➡️ [tex] x = -21 - 1 [/tex]

➡️ [tex]x = -22 [/tex]

Answer:

10×18+8×18; You can also find the length of each side of the apartment, 18 and  10+8,  and then multiply 18(10+8)

Step-by-step explanation

The total area Room₁ and Room₂ = (A₁ + A₂) sq feet

                                                          = (180 + 144) sq feet

                                                          = 324 Sq feet.

In the given question

Length of the first room (l₁) = 18 feet

Width of the first room(w₁) = 10 feet

We know area of a rectangle is product of it's length and width.

∴ Area of the first room A₁ = (l₁ × w₁) sq feet

                                       A₁ = (18 × 10) sq feet

                                       A₁ = 180 sq feet.

Length of the second room (l₂) = 18 feet

Width of the second room (w₂) = 8 feet

∴ Area of the second room A₂ = (l₂ × w₂) sq feet

                                             A₂ = (18 × 8) sq feet

                                             A₂ = 144 sq feet.

∴The total area Room₁ and Room₂ = (A₁ + A₂) sq feet

                                                          = (180 + 144) sq feet

                                                          = 324 Sq feet.

Another way of finding the total area of the two rooms as we can see from the given figure both two rooms together form a square as the sides of the given sides which are 18 feet and (10 + 8) feet which is also 18 feet.

So, It is a square.

∴ Area of a square = (side)²                        (area of a square is product of            

                                                                                     two adjacent sides)

Area = (18)² sq feet

        = 324 sq feet.

Learn more about Area of a Square/Rectangle here :

https://brainly.com/question/27969597

#SPJ2

Area= 91

Step-by-step explanation:

if the width is 7 then the length is 13

13 times 7 is 91

Answer:

x = -5

Step-by-step explanation:

0.2x-8=0.4x-7

First, add 8 to both sides.

0.2x-8+8=0.4x-7+8

0.2x=0.4x-1

Next, subtract 0.4x from both sides.

0.2x-0.4x=0.4x-1-0.4x

-0.2x=1

Divide both sides by -0.2:

-0.2x/-0.2=1/-0.2

x=-5

Answer:

Answer: k - 16

Step-by-step explanation:

If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.

K - 16

★» -30, 10

★» Yes, I use ★» at the beginning of each sentence, it's my style.

Answer:Its c

Step-by-step explanation:

Answer:

D.52

Step-by-step explanation:

i'm probably overcomplicating because i haven't dpne these problems in a while and i don't remember the formula names so sorry if it sounds confusing:

the angle inscribed in the circle has an angle of 64 degrees, so the angle of the minor arc that the inscribed angle creates has an angle of 128 degrees (angle of arc = 2 times angle of inscribed angle'

now using the formula for the tangent lines, x=(major arc-minor arc)/2, the major arc=360-minor arc=360-128=232 so we have (232-128)/2=104/2=52 so x=52 degrees

Answer:

D

Step-by-step explanation:

Draw the central angle from the two tangent points. That angle will be twice the size of 64. So the central angle is 128.

x is the supplement of 128 or 52 degrees. You can show this by proving that the the central angle + x + 90 + 90 = 360

Central angle + x = 180

128 + x = 180

x = 52

Answer:

3.8 kg of apples were sold by the farmer.

Step-by-step explanation:

Given-

Kilograms of pears: 3.4 kgs

Kilograms of apples: ?

Total: 7.2 kgs

Therefore:-

Kgs of apples + Kgs of pears = Total Kgs of fruits sold. (Given)

Kgs of apples + 3.4 kgs = 7.2 kgs (Substituting given values)

Kgs of apples = 7.2 kgs - 3.4 kgs (Taking known values to one side)

Kgs of apples= 3.8 kgs.

This is all. Please do revisions on Pythagoras thoerem and try to understand the nature of question.

Answer:

18. 2 times a number p squared

19. 3 times a number m to the power of 5

20. 1/2 plus 2

Step-by-step explanation:

We have that

The  interval equivalent to each range is given below

[tex]x=3-5[/tex]

[tex]x'=7,8,9 ...[/tex]

From the Question we are told that

2  <  x  ≤  5   or   x  >7

Generally the interval equivalent is given as follow from the number line

(...-1,0,1...)

For 2  <  x  ≤  5  

Here  this means x is less than 2 and less than or equal to 5

Therefore

A range of numbers

[tex]x=3-5[/tex]

For  x  >7

Here x is greater than 7  i.e

[tex]x'=7,8,9 ...[/tex]

in conclusion

The  interval equivalent to each range is given below

[tex]x=3-5[/tex]

[tex]x'=7,8,9 ...[/tex]

For more information on this visit

https://brainly.com/question/16191404

Answer:

(2,5] U (7,∞)

Step-by-step explanation:

got it correct.