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3 years ago

What is the value of y

Mathematics

2 answers:

Yakvenalex [24]3 years ago

6 0

All the angles in a triangle equal 180 degrees.

So,

y+40+y+30= 180

2y+70= 180

2y= 110

Divide by 2.

y= 55

"A" is the answer.

I hope this helps!
~kaikers

deff fn [24]3 years ago

5 0

Well we know where the y + 30 degrees is not a right angle it is a little bit from a right angle. So we know if we add 110 to 30 that will equal more than 90 degrees. So c is not the answer. If we add 85 to 30 that also equals more than 90 degrees. 10 plus 30 equals 40degrees. But that does not look like it is 40 degrees because the other angle is 40 degrees. So A is the answer 55 degrees.

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BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

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1 year ago

Quick Quick! 1 minute only please! with answer and solution! NOTE: NO DIAGRAM!

Vedmedyk [2.9K]

Let's say Alice is 4 feet tall and Bob is 6 feet tall. The ratio of their heights is the required Alice:Bob = 2:3. That means Bob is 3/2 = 1.5 times taller than Alice.

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2 years ago

A survey was conducted that asked 1003 1003 people how many books they had read in the past year. results indicated that x overb

kirill115 [55]

The confidence interval is

$10.5\pm1.35 = (9.15, 11.85)$ . This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.

To find the confidence interval, we first find the z-score associated with it:

Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.

We calculate the margin of error using

$ME=z*\frac{s}{\sqrt{n}}
\\
\\=2.575*\frac{16.6}{\sqrt{1003}}=1.35$

This means that the confidence interval is
$10.5\pm1.35$

The lower limit is given by 10.5-1.35 = 9.15.
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2 years ago

Whats the answer? <br> and how did I get my answer?

Kamila [148]

Answer:

40°

Step-by-step explanation:

Angle 1 and Angle 2 are corresponding angles.

Corresponding angles are congruent, so 3x + 4 = 5x - 20

Solving 3x + 4 = 5x - 20

3x = 5x - 24

2x = 24

x = 12

Substitute angle 1

3x + 4 = 36 + 4 = 40

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2 years ago

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KengaRu [80]

Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches

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2 years ago