Solve for a
a + 4/5 = 1 1/2
Enter your answer as a fraction in simplest form in the box.

Answer:

x= 38

y= 71

Step-by-step explanation:

The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.

The two sides marked with a "dash" are said to be equal.

If we label off the triangle as ABC with AD being the extended length (containing 108°).

We'll get,

AB = AC

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

*Property*

"If two sides of a triangle are equal their corresponding base angles are equal too."

=> ∠BAC = ∠BCA . . . . (¡)

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

From the figure, ∠BCA is equal to y.

*Property*

"Two angles on a straight line sum up to 180°"

∠BAC can be found out by subtracting 109° from the straight angle (180°).

=> ∠BAC = 180 - 109

=> ∠BAC = 71°

Substituting these values in eqn. (¡):

71 = y

Hence, the value of y is 71°

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

*Property*

"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."

Here,

=> 109 = x + 71

=> 109 - 71 = x

=> x = 38°

Hence, the value of x is 38°.

Step-by-step explanation:

every new term is created by adding a constant (I call here x) to the previous term.

a1 = b

a2 = c = a1 + x = b + x

a3 = a2 + x = a1 + 2x = b + 2x

so, we see

an = a1 + (n-1)x = b + (n-1)x

from a1 and a2 we know

c = b + x

x = c - b

so, ultimately we have

an = b + (n-1)(c-b)

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term of an arithmetic sequence is b and the second term is c.

a₁ = b

a₂ = c

Then the common difference is given as,

d = a₂ - a₁

d = c - b

Then the explicit formula to find the nth term of the sequence will be given as,

aₙ = b + (n - 1) × (c - b)

aₙ = b + cn - c - nb + b

aₙ = cn - nb + 2b - c

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

More about the arithmetic sequence link is given below.

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[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]

[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]

[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]

[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]

Answer:

Opposite: Line SQ

Adjacent: Line SR

Hypotenuse: Line RQ

Step-by-step explanation:

According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

[tex]P(X = 0) = x[/tex]

[tex]P(X = 1) = 0.12[/tex]

[tex]P(X = 2) = 0.32[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.13[/tex]

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]

[tex]x + 0.82 = 1[/tex]

[tex]x = 0.18[/tex]

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]

On any given day, the Wilmington police should expect to have 2.03 accidents.

A similar problem is given at https://brainly.com/question/25653146

Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

What? hold up my brain hurts! you made me confused!!

Answer:

There are no leaves in the winter except on evergreens and those are green.

Step-by-step explanation:

Answer:

  2y^2 +7y +11

Step-by-step explanation:

The remaining length is the difference between the original and the length cut off:

  remaining = whole length - piece length

  remaining = (3y^2 +7y +1) -(y^2 -10)

  = 3y^2 +7y +1 -y^2 +10  = (3 -1)y^2 +7y +(1 +10)

  remaining = 2y^2 +7y +11

Answer:

the pic wont load for me

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

it has the same a prime bundle

Answer:   time is 1.1 sec

Step-by-step explanation:

Answer:

1.1s

Step-by-step explanation:

t=m/F

t=time, m=momentum, F=Force

t=22/20= 1.1s

Answer:

a. 5

Step-by-step explanation:

Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:

[tex]3*15 = 45[/tex]

Sophia has 45 total pieces of candy.

If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:

[tex]45[/tex] ÷ [tex]9=5[/tex]

Therefore, each party bag will have 5 pieces of candy in it.

Answer:

A. 5

Step-by-step explanation:

A, since you can follow these steps:

First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.

In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.

The result - from 3(15) - is 45 total pieces of candy.

Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).

So the result is 45/9, which then results in 5 pieces of candy for 9 guests.

I hope this helped a bunch! Tell me if you need any further assistance...

( :

Step-by-step explanation:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

Answer:

2 13/20

Step-by-step explanation:

53/20

Simplify

2 13/20

Answer:

2  again and the next one is 3

Step-by-step explanation:

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Answer:

$18.75

Step-by-step explanation:

multiply 25 * 3/4 ( 0.75) and you get 18.75

Answer:

The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:

Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:

When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:

This 0 acts as a placeholder so that this row is aligned properly.

When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit

Answer:

8 and 2

Step-by-step explanation:

If you add them together you get 10. (8 + 2 = 10)

If you multiply them you get 16. (8 x 2 = 16)

Have a great day! (I'd love brainiest if you could give it to me!)

Answer:

3 chocolates each night

Step-by-step explanation:

C-3

t-1

Answer:

If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0

Step-by-step explanation:

hope this helps!!!!

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67

Answer:

C

Step-by-step explanation:

There are 12 months in 1 year , then

3 lots of 4 months in 1 year and

3 × 3 = 9 lots of 4 months in 3 years

cost of lessons = $174 × 9 = $1566 → C

SI

$1 000 × 4 % × 10 = $400

CI

($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24

Interest on interest only applies to Compound Interest.

Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24

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The solution is $ 1050

The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the initial amount or principal be P = $ 1000

The rate of interest R = 5 %

The time period T = 1 year

So , the simple interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 1000 x 5 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 5000/100

Simple Interest S = $ 50

And , the amount after one year = Principal + Simple Interest

The amount after one year A = $ 1000 + $ 50

The amount after one year A = $ 1050.00

Hence , the amount is $ 1050.00

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