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Answer:

The expanded form of 6,398 is 6000 + 300 + 90 + 8

The required measure of the angle m∠H is given as 94°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12

Now,
m∠H = 8x - 2
        = 8 (12) - 2
        = 94°

Thus, the required measure of the angle m∠H is given as 94°.

Learn more about Angles here:
https://brainly.com/question/13954458

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Answer:

[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]

Answer:I hope this could help !ut the answer is 4

Step-by-step explanation:

2 of them left so there are 4 left

Answer:

60

Step-by-step explanation:

[tex]\frac{300}{5}[/tex]

60

Hence, 60 is the answer

Answer:

60 mph

Step-by-step explanation:

For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:

[tex]300[/tex]÷[tex]5=60[/tex] miles.

So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.

Andrea was driving at 60 mph.

I hope this helps! Please let me know if you have any questions :)

Answer:

1)BX = 20

2)MT = 23.3

3)QD = 14.4

4)SN = 23.5

5)XZ = 36

6)DF = 24

7)BD = 43.8

8)HZ = 12

9)UW = 40

10)CS = 11.6

Step-by-step explanation:

1) BX = 1/2(VX) = 40/2 = 20

2)MT = 1/2(RT) = 46.6/2 = 23.3

3) QD = BQ = 14.4

4)LS + SN = 23.5

5)XH = 1/2(XZ) = 18 * 2 = 36

6)DG = 1/2(DF) = 12 * 2 = 24

7)BJ = 1/2(BD) = 21.9 * 2 = 43.8

8)XH = HZ = 12

9)UW = 2(UJ) = 20 * 2 = 40

10) CS = 1/2(US) = 23.2/2 = 11.6

If my answer is incorrect, pls correct me!

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-Chetan K

[tex]5[/tex] ✅

Step-by-step explanation:

[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

12.5

Step-by-step explanation:

14+6²÷(-4)

=14+6×6÷(-4)

=14+36÷(-4)

=50÷-4

=12.5

Answer:

A. 52

Step-by-step explanation:

Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.

There are 12 months in a year, so multiply 12 by 4:

12(4)

= 48

So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.

Add this to the 4 teacups she got on her 13th birthday:

48 + 4

= 52

So, on her 17th birthday, she will have A. 52 teacups

Answer:

75.36 mi

Step-by-step explanation:

Given :-

We know :-

→ Circumference = 2 π r

→ C = 2 * 3.14 * 12 mi

→ C = 75.36 mi

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*12

=24*3.14

=75.36 mi

Answer:

18.9 km²

Step-by-step explanation:

Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]

0.5(7 × 5.4) = 18.9 km²

Answer:

A = 1/2 bh

1/2 x 7 x 5.4

= 18.9km2

Step-by-step explanation:

diamonds and hearts are red cards

spades and clubs are black cards

15+11=26

26/52 is the probability of selecting a black card, 50%

Answer:

below

Step-by-step explanation:

10ˣ = 5

applying log to both sides

xlog 10 = log5

x = 0•699

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

Answer:

25%

Step-by-step explanation:

(a)

We need to express in percent 8 as a percent of 32.

We have,

Numerator = 8

Denominator = 32

Percent,

[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]

Hence, the required percentage is 25%.

Step-by-step explanation:

answer is in picture see

hope it helpful

Answer:

hope it helps...

have a great day!!

Answer:

$7.50

Step-by-step explanation:

30 x 0.25= 7.50

As both the angles are linear, their sum is equal to 180°

i.e m<EFG+m<GFH = 180

=>( 2n+17 )+(4n+37) = 180

=> 6n + 54 = 180

=> 6n = 180-54

=>6n =126

=> n= 21

m<EFG = 2(21)+17 = 59°

m<GFH =4(21)+37 =121°

Given: ∠EFG and ∠GFH are a linear pair

We know that: Sum of the angles which make a linear pair should be equal to 180°

⇒  ∠EFG + ∠GFH = 180°

Given :

∠EFG = 2n + 17

∠GFH = 4n + 37

⇒  2n + 17 + 4n + 37 = 180°

⇒  6n + 54 = 180°

⇒  6n = 180 - 54

⇒  6n = 126

⇒  n = 21°

Substituting the value of n in ∠EFG and ∠GFH, We get:

⇒  ∠EFG = 2(21) + 17 = (42 + 17) = 59°

⇒  ∠GFH = 4(21) + 37 = (84 + 37) = 121°

Answer:

x=ln 24

Step-by-step explanation:

e^x=24

If we take the ln of both sides

ln e ^x= ln 24

x=ln 24

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

Answer:

0.58823529411

Answer:0.8

Step-by-step explanation:

Answer:

Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.

Step-by-step explanation:

Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:

3^7 = X

2,187 = X

(3^5) x 5000 = X

243 x 5000 = X

1,215,000 = X

Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.

Answer:

[tex]\sqrt{68}[/tex]

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]

=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]

=[tex]\sqrt{4 + (-8)^2}[/tex]

=[tex]\sqrt{4 + 64}[/tex]

=[tex]\sqrt{68}[/tex]

Answer:

[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]

               [tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]

Answer:

whats the question

Step-by-step explanation:

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

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Answer:

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Step-by-step explanation:

Answer:

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Step-by-step explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this both for coordinate x and coordinate y.

Coordinate x:

[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]

[tex]x + 2 = \frac{12}{7}[/tex]

[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]

Coordinate y:

[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]

[tex]y + 2 = -\frac{6}{7}[/tex]

[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650