what is the name of these figures?
​

Answer: x = 20

Step-by-step explanation:

   If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

Answer:

D. 105

Step-by-step explanation:

500-270, there's 230 total 2 head.

270-100 of one head, is 170 purple one head. 170+125 purple equals 295.

296 subtract from 500 total is 205 for total green.

205-100, 105 2 head.

The volume of the rectangular aquarium prism will be 51840 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

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Answer: 105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

100%*42=4200

4200/40%=105

Answer:

3 terms

Step-by-step explanation:

6a is a term

3ab is a term

2 is a term

Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as

x=7/10

Generally, the equation for Number is mathematically given as

[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]

x=7/10

In conclusion,  the sum of the two numbers

x=7/10

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Answer:

692703

816903

496307

816309

903618

Step-by-step explanation:

With even and odd digits alternating, and difference greater than one, then the last 2 digits can only be:

03, 05, 07, 09, 14, 16, 18, 25, 27, 29, 30, 36, 38, 41, 47, 49, ... any higher and we can't make multiples for the first or second pair

Let's check for multiples where even and odd digits alternate and have difference greater than one:

03 has 27, 63, 69, 81

07 has 49, 63

09 has 27, 63, 81

18 has 36, 72, 90

25 has none

27 has none ...

No others work following the rules

When we try to make full numbers that follow all the rules we find only these:

692703

816903

496307

816309

903618

:)

Answer:

a-x=y+25

b-35 minutes

c-nort possible

Step-by-step explanation:

can't explain due to the fact it will take 30m to type up

B, because you would just assume the line continues forever on both sides.

Answer:

27.27%

Step-by-step explanation:

find the change in price

£11-£8=£3

percentage change=( (change in price)÷ (original price)) ×100%

(£3/£11) × 100%

=27.27%

Answer:

Step-by-step explanation:

We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.

Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.

The row of the input/output is incorrect is Row D.

Given equation: y = 2x - 3

For, row A:  

x = 3

y = 2x - 3

So,

y = 2(3) - 3

y = 3, which is correct

For row B:

x = 5

y = 2x - 3

So,

y = 2(5) - 3

y = 7, which is also correct.

For row C:

x = 7

y = 2x - 3

So,

y = 2(7) - 3

y = 11, which is also correct.

For, row D:

x = 10

y = 2x - 3

So, y = 2(10) - 3

y  = 17, which is incorrect.

Hence, the row of the input/output is incorrect is Row D.

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Answer:

B 695.187

because 7 in 468.705 has value 1/10

1/100×1/100 is 1/1000 which is 0.007.

Answer:

B. 695.187

Explanation:

In the number 468.705, the number 7 is in tenths place (0.1)

If the value of 7 in that number which is 0.1 has value of 1/100, then

0.1 × 1/100 = 0.001  (thousand place)

Then the number 7 will be in thousands place: 0.007

Among options, option B (695.187) has the value of 7 in thousands place.

Answer:

997

Step-by-step explanation:

Hope this helps a little.

Step-by-step explanation:

the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.

length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52

length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

the midpoint is simply ((x1+x2)/2, (y1+y2)/2)

so,

(-4 + 2)/2 = -2/2 = -1

(1 + -3)/2 = -2/2 = -1

therefore, the midpoint is (-1, -1)

Answer:

(2*2*1.5*1/3)+(2*1.5*4)= 14

Step-by-step explanation:

To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.

Answer:

  (d)  9 ft²

Step-by-step explanation:

To find the excluded area for furniture, we can find the actual size of the door, then compute the area of the semicircle that it turns through. The door size will be the product of the drawing dimension and the scale factor relating the room to the drawing.

__

Room size and drawing size are proportional. This means ...

  door size / door drawing = room length / room drawing

  door size / (1.75 in) = (15 ft)/(11 in)

  door size = (15 ft)(1.75/11) = 105/44 ft ≈ 2.386 ft

__

The area of a circle with radius r is given by the formula ...

  A = πr²

Then the area of a semicircle (half a circle) with radius 2.386 ft will be ...

  A = 1/2π(2.386 ft)² ≈ 8.945 ft²

A good estimate of the furniture exclusion area is 9 ft².

_____

Additional comment

The scale factor is (15 ft)/(11 in) = 15/11 ft/in. Multiplying that by 7/4 in gives 105/44 ft.

The depth of the diver is 32 feet below sea level.

The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.

The depth of the diver is the absolute value of -32 since it can't be negative.

= |-32|

= 32

Therefore, we can conclude that the depth of the diver is 32 feet below sea level.

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Answer:

the second one, but I'm not sure if I'm right

The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book      Number

Fantasy                 10

Literature              25

Children’s               4

Nonfiction             11

t, showing the distribution of the number of books in a library.

Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.  

So just because books literature more we cannot say it is not representative  II option is not right, because each book was not chosen uniquely, just random books were drawn.

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

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Answer:

b = 5

Step-by-step explanation:

The y intercept is the value when x =0

y = mx+b  where b is the y intercept

b = 5

Answer:

b = 5

Step-by-step explanation:

Slope-Intercept form: y = mx + b

where:

[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]

Therefore, the value of b is 5.

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Answer:

41

Step-by-step explanation:

3(4)²-2(4)+1

48-8+1

41

Answer:

y = 39

:. ? = 39

Step-by-step explanation:

let y represent ?

while x = 4

:. 3x² – 2x + 1 = y

3(4)² – 2(4) + 1 = y

3(16) – 8 + 1 = y

48 – 9 = y

39=y

Answer:

f = 144 degrees

Step-by-step explanation:

Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees

The number of teams that can be formed is 10

The given parameters are:

The number of teams is calculated as:

[tex]Team = ^nC_r[/tex]

So, we have:

[tex]Team = ^5C_2[/tex]

Apply the combination formula

Team = 10

Hence, the number of teams is 10

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When accessing your credit card information online, you cannot makes purchase.

A credit card is a card that enables a card holder to buy or purchase things online on credit.

A credit card holder can carryout the following when accessing their credit card data online:

Therefore the correct option is C.

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The size of the crowd is 12,000

This is the portion covered by the shape.

Analysis:

Area of field = 100 x 300 = 30000 square feet

If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.

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The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that g(x) = 3 - 8x, hence:

When x = -3; g(-3) = 3 - 8(-3) = 27

When x = -1; g(-1) = 3 - 8(-1) = 11

When x = 0; g(0) = 3 - 8(0) = 3

When x = 1; g(1) = 3 - 8(1) = 5

When x = 3; g(3) = 3 - 8(3) = 21

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

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Answer:

x*1/5=60

5[x*1/5=60]

x=5*60

x=300

Step-by-step explanation:

-introduce the multiplicative inverse of 1/5 to the equation.

- 5*1/5 gives 1 on L.H.S

-Similarly 5*60 gives 300 on R.H.S

-finally x=300

Answer:

option c

Step-by-step explanation: