Amy is catching a flight for London at 12:00 noon. Prior to leaving for the airport, she needs to allow 30 minutes for a shower and 30 minutes to finish packing last minute items. She also needs to give herself 1 hour to drive to the airport. If she needs to arrive for her international flight two hours before departure, then she needs to set her alarm to wake up by what time in order to be on schedule?

Alternate Interior Angles are formed on the interior of the parallel lines, on the opposite sides of the transverse. The value of x is 14.

When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.

As we can see in the centre where the triangle is formed, the measure of the different angles can be written as,

Vertically opposite Angles, [tex]\angle A = 53^o[/tex]

Alternate Interior Angles, [tex]\angle C = 57^o[/tex]

[tex]\angle B = 5x[/tex]

Now, the sum of all the angles of this triangle can be written as,

[tex]\angle A+\angle B+\angle C = 180^o\\\\53^o + 5x + 57^o = 180^o\\\\110^o + 5x = 180^o\\\\5x = 180^o-110^o\\\\5x = 70^o\\\\x = 14[/tex]

hence, the value of x is 14.

Learn more about Alternate Interior Angles:

https://brainly.com/question/2656732

Answer:

22

Step-by-step explanation:

R11 000 in a year.

Step-by-step explanation:

Therefore:

52 weeks - 2 weeks unpaid = 50 weeks

50 weeks × R220 = R11 000 in a year

Answer:

John wanted to buy a toy that cost 13 dollars, he has 5 already and 2 days to make the rest of the money. Let x be the amount of money John has to make each day in order to be able to buy the toy.

Step-by-step explanation:

Hope this helps, please mark brainliest.

If a cab takes the money as a fixed charge of 5 Rupees and then it takes money twice the distance travelled. Then find the how many kilometres Alice travelled if she paid the cab 13 rupees.

1. The Variable here is x

2. 2x + 5 = 13

=> 2x= 8

=> x = 4

Alice travelled 4km

Answer:

Where is the question???

Answer:

Step-by-step explanation:

10 pound of apple Sells and 20 pound of Raspberry sells

Complete question :

Ryan is mowing lawns. It takes him an hour to mow one lawn. He has already spent 2 hours mowing lawns today. He can only mow today for a total of 5 hours at most. The given inequality can be used to find x, the number of lawns he can still mow today. Which statement is true? A. Ryan can mow no fewer than 7 additional lawns today. B. Ryan can mow no more than 3 additional lawns today. C. Ryan can mow no more than 7 additional lawns today. D. Ryan can mow no fewer than 3 additional lawns today.

Answer:

B. Ryan can mow no more than 3 additional lawns

Step-by-step explanation:

Given that :

Time taken to now 1 lawn = 1 hour = 60 minutes

Number of hours already spent mowing today = 2

He can mow at most 5 hours mowing today

Find the number of lawn x he can still mow today:

Since 1 lawn takes 1 hour to mow ;

Lawns mowed in 2 hours = 2 lawns

The most number of lawn he can mow today Given that he can only spent at most 5 hours mowing will be (5/1) = 5 lawns

Lawns mowed already + x ≤ 5

2 + x ≤ 5

x ≤ 5 - 2

x ≤ 3

Hence, Ryan can mow no more than 3 additional lawns.

yea yea yea slat whole lotta red red slat yeaaaa

Answer:

-1 >x

Step-by-step explanation:

-4(7+6x)<-2(x-6)

-28-24x<2(x-6)

-28-24x<-2x-6

+6. +6

-22-24x<-2x

+24x +24x

-22 < 22x.

-22÷-22=1 that canceled out

+22÷-22= -1

-1>x. because we divided by a negative the inequality switched.

Hope this helped

Answer:

indictmentindictmentindictmentindictmentindictmentindictment

Step-by-step explanation:

Answer:

----------------------------------------------

Answer:

[tex]1051 .55 {mm}^{2} [/tex]

Step-by-step explanation:

Find the area of the square - area of 4 sectors

We'll use the formula to find one sector area

[tex]a = \frac{1}{2} \times {r}^{2} \times x[/tex]

where r is the radius of one sector and x is the angle in radians

Since each angle is in a square, the angle of the sectors is 90 degrees.

Convert degrees to radians

[tex]90 = \frac{1}{2} \pi \: rad[/tex]

The radius of one sector is given by 70mm/2=35mm

One sector area:

[tex] \frac{1}{2} \times {35}^{2} \times \frac{1}{2} \pi = 306.25\pi[/tex]

Area of all 4 sectors:

[tex]4 \times 306.25\pi = 1225\pi[/tex]

Area of the square:

[tex]70 \times 70 = 4900[/tex]

Hence, Area of square - 4 Sectors:

[tex]4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)[/tex]

Answer:

1053.50 mm^2

Explanation:

first calculate the area of square ABCD

area of ABCD = AB × AB

= 70 × 70 = 4900 mm^2

if you look closely, there are 4 quater-circles with radius (AB/2 = 35 mm) and their center A,B,C and D.

now

area of any one quater circle =( pi × r^2 )/4

area of 4 quater circle =(pi × r^2)

where, pi = 3.14 and r = radius of quater circle

area of 4 quater-circle = (3.14 × 35^2)= 3846.50 mm^2

hence area of shaded region = area of square - area of 4 quater circles

= 4900 - 3846.50

=1053.50 mm^2

b = Bethan's Income

hmmm how much is 32% of "b" anyway?  

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]

Answer:lim x- √16-x²=32

Step-by-step explanation:

[tex]x^{4}[/tex]-16

=(x²)²-4²

=(x²-4)(x²+4)

=(x²-2²)(x²+4)

=(x-2)(x+2)(x²+4)

So:

[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)

with exclusion:

x[tex]\neq[/tex]2

Hence:

lim [tex]\frac{x^{4}-16 }{x-2}[/tex]

x-2

((x+2)([tex]x^{2}[/tex]+4))=

((2)+2)((2)²+4)=4⋅8=32

The density of the lime is 1.38 g/cm^3.

Remember that the density is given by the quotient between mass and volume.

Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

So our lime has a volume:

V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3

And the mass is M = 90 grams, then the density is:

D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3

If you want to learn more about density, you can read:

https://brainly.com/question/1354972

Answer:114Step-

Step-by-step explanation:

Answer: x = 114Step-by-step explanation:Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees. Therefore, you can write this equation:m<A + m<B + m<C + m<D = 360 Step 1) plug in the degree measure of each angle that you know. (I will represent angle C with “x”)66 + m<B + x + 66 = 360(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)66 + x + x + 66 = 360(x + x is the same as 2x)66 + 2x + 66 = 360(66 + 66 = 132)132 + 2x = 360Step 2) solve for x by continuing with this equation: 132 + 2x = 360(Subtract 132 from both sides)2x = 228(Divide by 2 on both sides)x = 228/2(228/2 equals 114)x = 114Check:Add all four angle measures. It should add up to 360.66 + 114 + 114 + 66180 + 114 + 66294 + 66360Yay it worked! FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!

Answer:

g(x)= x^2-5

g(0)= (0)^2-5

= 0-5

= -5

g(2)= (2)^2-5

=  4-5

= -1

g(4)= (4)^2-5

= 16-5

=11

Answer:

100

Step-by-step explanation:

The fraction 2/3 says there are 3 total parts to the track, but Pete only rode 2 of them.

In this type of problem you always multiply the amount of the whole (150) times the fraction of the whole you are calculating (2/3) to get the answer.

150*2 = 300 divided by 3 = 100

Or 150 * (2/3) = 150 * 0.66667 = 100

The amount of Canadian dollar that can be exchanged with NC. 45000 is; 533.69 canadian dollar

We are told that;

NC. 200 = 2.45 Australian dollar

8116 Australian dollar = 8152 canadian dollar

Thus;

NC per Australian dollar = 200/2.45 NC/AUS Dollar

Thus;

200/2.45 NC = 1 Australian dollar

8116/8152 Australian dollar = 1 canadian dollar

Since 1 Australian dollar = 200/2.45 NC , then

8116/8152 Australian dollar = 8116/8152 * 200/2.45

⇒ 81.272 NC

Thus;

81.272 NC = 1 canadian dollar

Then; NC.45000 = 45000/81.272  = 533.69 Canadian dollar

Read more about Currency Conversion at; https://brainly.com/question/11160294

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Hope this helped!

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Using the statistical formula, the median of the given data-set is 20.5.

It is given that

Number of touchdowns in 10 sessions are:

29, 5, 26, 20, 23, 18, 17, 21, 28, 20

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

For the median, let us arrange the given data in ascending order.

5, 17, 18, 20, 20, 21, 23, 26, 28, 29

Number of terms = 10

Median of n terms when n is even is given by:

(n/2^th term+ (n/2 +1)^th term)/2

n/2 th term = 5th term = 20

(n/2+1)th term = 6th term = 21

So median= (20+21)/2 = 20.5

Therefore, the median of the given data-set is 20.5

To get more about the median visit:

https://brainly.com/question/26177250

Answer:

The range is 24 touchdowns.

The interquartile range is 8 touchdowns.

Step-by-step explanation:

Answer:

54 and here is why..

Step-by-step explanation:

In order to calculate the surface are of the prims, you have to calculate the area of each face of the prism, also you have to remember the different formulas to calculate the areas:

Rectangle will be (Length x Width) and

Triangle will be (Base x Height / 2)

SOOO, You just have to insert the values into formulas:

Rectangle1 = 4 x 3.5

Rectangle1 = 14

Rectangle 2 = 5 x 3.5

Rectangle 2 = 17.5

Rectangle 3 = 3 x 3.5

Rectangle 3 = 10.5

Triangle 1 = 4 x 3 / 2

Triangle 1 = 6

Triangle 2 = 4 x 3 / 2

Triangle 2 = 6

SOoo again, if you add all the faces, you get the surface area of the prims:

14+17.5+10.5+6+6=54

I hope this help you my friend, have a good day

Answer:

Step-by-step explanation:

Give him brainliest

Answer:

Step-by-step explanation:

Formula

V = (4/3) pi r^3

Givens

pi = 3.14

r = 25.9 inches

Solution

V = (4/3) pi r^3                     Substitute values

V = (4/3) * 3.14 * 25.9^3

V = (4/3) * 3.14 *17373.98

V = 72739.1

Answer:

11 2/3

Step-by-step explanation:

Let’s do this

5*2 1/3

Convert the mixed fraction to an improper fraction

2 1/3= 3*2+1=7/3

Now let’s multiply straight across

5*7/3=5/1 * 7/3=35/3

To get mixed number, divide

35/3=11 2/3

And if we convert 11 2/3 to improper, we get 35/3, which is correct. So therefore the answer is 11 2/3.

Hope this helps!

(If possible, please mark me brainliest if possible!)

Answer:

256b^4

Step-by-step explanation:

4b^2*4b16b

4b^2*64b^2

256b^4

Answer:

25n + 600 > 1400 ​

Step-by-step explanation:

Answer:

sunil is 28 cm taller than Megan

Answer:

28cm

Step-by-step explanation:

so basically

Sunil take away Megan =answer

137-109=28cm

The answer is C Trina is not correct because the two sides of the equation are equivalent

Answer:

-14

Step-by-step explanation:

I believe you meant 8x−y^2−3.    The expression 8x−y2−3 is meaningless.

Letting x take on the vaue -1/4 and y the value 3, we get:

8(-1/4) − (3)^2−3, or

-2        -  9 - 3, or

-2 - 12.  Final answer is -14

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor. The scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.

As it is given that the perimeter of the original figure is 68 feet while the perimeter of the scale drawing is 17 feet. therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Perimeter of the Scale Drawing}}{\text{Perimeter of the Original Drawing}}[/tex]

[tex]\rm Scale\ factor = \dfrac{17}{68} = \dfrac{1}{4}[/tex]

Hence, the scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

Learn more about Scale Factor:

https://brainly.com/question/22644306

Answer:

It’s 1/4

Step-by-step explanation: