Bruno recorded 2/12 of his new album in
August, 1/3 of his new album in July, and the
rest in June.
What fraction of the album did he record in June?

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Answer:

False

Step-by-step explanation:

P is not necessarily on the angle bisector of angle A.

Attached is an example of a carefully constructed shape (so that it's easy to see the measurements):

Visually, point P is not on the angle bisector of angle A.

While having two adjacent congruent segments is necessary for P to be on the bisector of angle A, it is not sufficient.  The segments on the rays from A to the end of those segments would also need to be a pair of congruent adjacent sides (forming a kite).  For a kite, the diagonal from the point between one pair of adjacent congruent sides to the point between the other pair of adjacent congruent sides does form an angle bisector with both angles.

The correct answer is 57 – 13 and 57 + (-13)

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

First, 57 – 13 and 57 + (-13)

or 57 – 13 and 57 - 13 are equivalent.

31 -8 and -31 + (-8)

or,  31 -8 and -31 -8 not equivalent

11 - (-5) and -5+ (-11)

or, 11 + 5  or -5-11 not equivalent

29-(-6) and 6 + (-29)

or, 29 +6 and 6 -29 not equivalent

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Answer:

12 units

Step-by-step explanation:

Since all of the sides of a rhombus are congruent, JK = JM which means:

2x + 4 = 3x

-x = -4

x = 4 so 3x = 3 * 4 = 12

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: 4

Step-by-step explanation: Daniels median is 16, and Sam’s median is 12. The difference eternal the two values is 4.

Answer:

62% 0f 450 is 279

Answer:

1.28

Step-by-step explanation:

4/10 + 88/100

so this is unlike denominators so

4 times 10 and 10 times 10 equal to 40/100

so 40/100 + 88/100 equal to 128/100 so we simplify 128÷2 and 100÷2 equal to 64/50 and 64÷2 and 50÷2 equals 32/25 we do long division then it is equal to 1.28

Answer:

ADF

Step-by-step explanation:

A.root 75=root25 xroot3=5root3

B.=root15

C=75

D=5root3

E:=root9xroot5=3root5

F=root5xroot5xroot3=5root3

The solution is Option A , Option D , Option F

The values of the equations are √75 , √25 x √3 and √15 x √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 5√3   be equation (1)

On simplifying the equation , we get

The value of A = √ ( 5 )² ( 3 )

The value of A = √25 x √3

The value of A = √75

The value of A = √15 x √5

Hence , the values of the equations are √75 , √25 x √3 and √15 x √5

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Answer:

The  decision is to fail to reject the null hypothesis

This  means that  the population mean apartment rental rate now does not exceeds the level reported in 2002

Step-by-step explanation:

From the question we are told that

   The population mean is  \(\mu = \$895\)

   The  population standard deviation is  \(\sigma = \$225\)

   The sample  size is  \(n = 180\)

   The sample mean is  \(\= x = \$ 915\)

    The sample standard deviation is \(s = \$ 227.50\)

   The  level of significance is \(\alpha = 0.01\)

The null hypothesis is  \(H_o : \mu \le \$ 895\)

The  alternative hypothesis is  \(H_a : \mu > \$895\)

   The test statistics is evaluated as

           \(t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }\)

=>       \(t = \frac{ 915 - 895}{ \frac{225}{ \sqrt{180} } }\)

=>       \(t =1.193\)

So from  z-table  the p-value is obtained, the value is  

      \(p-value = P(Z > t) = P(Z > 1.193 ) = 0.11643\)

So From the value obtained we see that

       \(p-value > \alpha\) so  we  fail to reject the null hypothesis

Answer:

As a claustrophobia, I can ????

O 35°, 35°, 20°

Answer:

5 years

Step-by-step explanation:

Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.

Answer:

5 years

Step-by-step explanation:

What we know:

- 2000 days passed (since each tick mark represents a day)

- One year has 365 days

Let \(x\) represent the number of years that passed.

If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.

\(365x=2000\)

Divide both sides by 365 to isolate x

\(\frac{365x}{365} =\frac{2000}{365}\)

\(x\) ≈ \(5\)

Therefore, Peggy is 5 years old.

I hope this helps!

Answer:

n + 5/5 = -9

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

If the problem is

(n+5) /5

Let n = -10

(-10+5)/5

-5/5

-1

or if

n+ 5/5

-10 + 1

-9

Answer:

There is no difference.

Step-by-step explanation:

When it comes to significant figures, they matter.

However, if you just add zeros, they essentially just become placeholders. 3 already has 0 for decimals, so it is equal to 3.0 and 3.00.

This is the first stage of the two stage process which maps put all the timings.  What you do is this:

Add up all the times as you go from start to finish, so if the first task has a duration of, say 4 weeks and the second one takes, say, 7 weeks, then the earliest start date of the first one is after zero weeks (so you put a zero in the top left corner of it's box) and the earliest start of the second one is after 4 weeks, so you put in a 4.  On the third task you put 11 because that's the earliest you could start it, you can't do it sooner than that.  It's just adding up. The largest total from the various routes is the Critical Path.

Things get interesting when you then do the backward pass, ie the same but from the finish, taking the numbers off the critical path total.  So if the total came to 50 weeks and the last task was 4 weeks long you would put 44 in the bottom left corner - it must be started by then, so that's the latest start.

On the critical path the earliest and latest starts are the same, but on the floating tasks they will be different.  The difference between them is how much float you have for that task - how much it can move and still not hold up the project.

The earliest and latest finish (put in the right hand corners) are the same as the starts but with the duration added.  So in my example that I started with, EF is 4 for the first task, and 11 for the second.  and during the backward pass the LF for the last task is 50.

All this easy if you are shown it and then try it on a real diagram rather than just in words....

Answer:

Can you add more context?

Step-by-step explanation:

Answer:

8 apples for 9.25

Step-by-step explanation:

because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

125/88

Step-by-step explanation:

have a nice day

Answer:

x=-2

Step-by-step explanation:

hope this helps

follow me

Answer:

-1

Step-by-step explanation:

-x + 2 = x+4

-x-x = 4-2

-2x = 2

x= 2/-2

x= -1

hope it will help......

Answer:

x = 40ft

Step-by-step explanation:

scale factor = length of image

_____________

corresponding length of object

hence; k = 25

___

20

k = 1.25

therefore, x = 1.25 × 32 = 40

x = 40ft.

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Answer:

\(\displaystyle y = 9\)

Explanation:

Both ordered pairs have similar y-coordinates. In addition, any straight line like this one, is considered a zero rate of change [zero slope], therefore you have your equation above.

I am joyous to assist you at any time.

We were given that:

Answer:

its also again 40

Step-by-step explanation:

its L angle

Answer:

40°

Step-by-step explanation:

∠1 and ∠2 are corresponding angles. Corresponding angles have the same measurement. This means that:

m∠1 = m∠2

Therefore, the measure of ∠2 would be the same as the measure of ∠1.

m∠2 = 40°

Hope this helps.