The speed of the jet Alyssa flew on from Boston to London was 480 mph. on her return flight, the speed of the jet was 600mph with a tail wind. What was Alyssa's average speed on the round trip?

Answer:

The following measurements are:

[tex]m\angle{STR}=23^\circ[/tex] (Option #4)

[tex]m{QT}=142^\circ[/tex] (Option #7)

[tex]mST=134^\circ[/tex] (Option #5)

[tex]mRQ=38^\circ[/tex] (Option #2)

Step-by-step explanation:

To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Since the intercepted arc (RS) is 46 degrees, we have:

[tex]46=2\theta\\23=\theta[/tex]

Next, we can find the measure of arc QT using the same theorem. So,

[tex]QT=2(71)\\QT=142[/tex]

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:

[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]

We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:

[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]

Answer:

is the amount of space it occupied 18

Answer:

1/8%

Step-by-step explanation:

just divide the 72 and 9 , the 9 divide it as a percentage

Step-by-step explanation:

100% = 72

1% = 100%/100 = 72/100 = 0.72

9 is that many % as 1% fits into it.

so,

9/0.72 = 12.5% = 12 1/2 %

the third answer option is correct.

Answer:

5. 52+56 < 49x -46x

108< 3x

108/3< 3x/3

36

Answer:

the value of z is 60 degree

Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

Answer:

The awnser is 400 meter run

Step-by-step explanation:

i took the quiz

The mean absolute deviation shows that the event were her times the most spread out is C. 400 meter hurdles.

It should be noted that the mean absolute deviation means the average distance that's between each data point and the mean.

In this case, the mean absolute deviation shows that the event were her times the most spread out is 400 meter hurdles. This was illustrated as it has has the highest mean absolute deviation when compared to others.

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Answer:

14

Step-by-step explanation:

2x((5-3)+(7-2)) = 14

Answer:

39x - 63

Step-by-step explanation:

5(3x - 3) + 4(6x - 12) ← distribute both parenthesis

= 15x - 15 + 24x - 48 ← collect like terms

= 39x - 63

Answer:

Hope the picture will help you......

Answer:256960ft

Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.

Answer:

297 ft

Step-by-step explanation:

Answer: To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

First, do what's inside the parentheses.

Second, do the multiplication

Third, add.

Lastly, subtract

3+(8-4)x2-4

3+4x2-4

3+8-4

11-4

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

-6y - 30 = -6 • (y + 5)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1 Solve : -6 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : y+5 = 0

Subtract 5 from both sides of the equation :

y = -5

One solution was found :

y = -5

Answer: y=-5

Explanation:

3y-1-9y=29

3y-9y=-6y

-6y-1=29

+1 on both sides

-6y=30

÷-6

y=-5

Answer:

0.42

30.7

Step-by-step explanation:

Answer: 6:4

Step-by-step explanation: The total of marbles doesn't change just the green total total.

Answer:

3 marbles of what are removed (green red or blue)

Step-by-step explanation:

60 marbles=red+blue+green

red:blue

(13 : 3)

blue:green

( 3 : 4)

red:blue:green

13 : 3 : 4

13/20×60=39 red marbles

3/20 × 60=9 blue marbles

4/20× 60= 12 green marbles

60-3

=57

x-3

Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.

" Sale price is defined as the amount on which something is sold out."

Formula used

Sale price = Cost price - Discount amount

According to the question,

Cost price of the crate of pears = $50

Discount  on sale price = 10%

Discount amount = 10% of $50

                             [tex]=\frac{10}{100}(50) \\\\= \$5[/tex]

Substitute the value in the formula of sale price we get,

Sale price = [tex]\$ ( 50 - 5)[/tex]

                 = $ 45

Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  (3x +6)° = 31° +35°

  3x +6 = 66 . . . . . . . . . . divide by °, collect terms

  3x = 60 . . . . . . . . subtract 6

  x = 20 . . . . . . . divide by 3

The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.

  y = 180° -66° = 114°

The values of x and y are 20 and 114°, respectively.

Answer:

Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m

Answer:

See below ↓

Step-by-step explanation:

Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]

Answer:

12.

Step-by-step explanation:

Replace the x by 2 and evaluate:

f(2) = 5(2 - 3) + 17

= -5 + 17

= 12.

The value of function f (2) is, 12

We have to give that,

The function is defined as,

f (x) = 5 (x - 3) + 17

Substitute x = 2 in the above function,

f (x) = 5 (x - 3) + 17

f (2) = 5 (2 - 3) + 17

f (2) = 5 × - 1 + 17

f (2) = - 5 + 17

f (2) = 12

Thus, The value of a function at x = 2 is,

f (2) = 12

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The correct answer for the given inequality is  {x | x ≤ -9 or x ≥ -5}.

Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.

To solve an absolute inequality, first step is to isolate absolute value expression.

Hence remove -4 from the left side. So, add 4 to each sides of the inequality.

2|x + 7|−4 ≥ 0

2|x + 7|−4 +4≥ 0 +4

2|x + 7| ≥ 4 Combine the like terms.

Divide each sides by 2.

[tex]\dfrac{2|x + 7| }{2} \geq \dfrac{4}{2}[/tex]

|x + 7| ≥2

Next step is to remove the absolute value sign. So,

x + 7≥2 and x+7≤-2.

x≥2-7 and x≤-2-7

x≥-5 and x≤-9

So, the correct choice is  {x | x ≤ -9 or x ≥ -5}.

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Answer:

1st one is: C

2nd one is: A

Step-by-step explanation:

The percentage 68% is converted into a fraction number as 17/25.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The amount of any product is presented as though it were a percentage of a hundred. The ratio is one-quarter of one hundred.

The faction number is given in the form of a percentage. Then the percentage is converted into a decimal number by dividing 100.

⇒ 68%

⇒ 0.68 x 100 / 100

⇒ 68 / 100

⇒ 17 / 25

The percentage 68% is converted into a fraction number as 17/25.

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Answer:

arc AD = 126°

Step-by-step explanation:

the inscribed angles ABD and ACD are half the measure of their intercepted arc AD

then ∠ ABD and ∠ ACD are congruent , so

11x - 3 = 8x + 15 ( subtract 8x from both sides )

3x - 3 = 15 ( add 3 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

then

∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus

arc AD = 2 × 63° = 126°

Answer:

hope this helps

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

multiply 500 by 0.20

you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100

Answer:

If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither

Step-by-step explanation:

Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none