A woman deposits 100 EUR in her daughter's bank account on her first birthday. On every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR.

By the time her daughter is 21 years old, how much money has been deposited in her account?

Answer:

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

The questions given in the pdf are these pictures, then we can get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5+ <4 = 180°

Now substituting value of <5,

→ <6+ <4 = 180°

This shows property of co interior angle.

Therefore, L II m.

2) Solution

Take it as,

→ <1= 90°

In above eq. L is perpendicular to t.

→ <2 = 90°

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L II m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST II UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180°

It shows property of co interior angle.

Therefore, PS II QR.

Answer:

32 = <4

Step-by-step explanation:

The exterior angle of a  triangle is equal to the sum of the opposite interior angles

15+17 = <4

32 = <4

Answer:

D

Step-by-step explanation:

Total Number of months = 12

How many start from J = 3

Probability= 3/12

= 1/4

Answer from Gauthmath

Answer:

second x -1,-3,-5 y 1 3 5 for proportional relation

Answer:

hope this helps! Feel free to clarify!

Answer:

1/4 b^9

Step-by-step explanation:

(b^11 b^-7)/4b^-5

We know x^y * x^z = x^(y+z)

b^11 * b^ -7 = b^ (11-7) = b^4

(b^11 b^-7)/4b^-5

b^4 / 4 b^-5

We know x^y / x^z = x^(y-z(

b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9

1/4 b^9

Answer:

The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"

Step-by-step explanation:

==================================================

Explanation:

The ratio of boys to girls is 3 to 5, which means,

b/g = 3/5

12/g = 3/5 ... plug in b = 12

12*5 = g*3 ... cross multiply

60 = 3g

3g = 60

g = 60/3 .... divide both sides by 3

g = 20 is the number of girls

b+g = 12+20 = 32 total students in the chess club.

Answer:

There are no options

Step-by-step explanation:

Answer:

2(x+9.8)=90.9

Step-by-step explanation:

let's represent the number with x.

9.8 is added to x, and then that is doubled to get 90.9.

therefore, we put x+9.8 in parenthesis and then multiply that by 2 since it says that the result of x+9.8 was doubled. we set that equal to 90.9 since it's stated that the result of 2(x+9.8) is equal to 90.9

2(x+9.8)=90.9

Answer:

A=29.12ft^2

Step-by-step explanation:

first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:

area of a triangle: 1/2bh

1/2(6)(8)=24ft^2

area of a circle: πr^2

(**we're using 3.14 instead of pi, and it's a semicircle)

1/2(3.14)(4)^2

1/2(3.14)(16)

1/2(50.24)

25.12ft^2

total area of the figure:

24+25.12=29.12ft^2

Answer: 49.12 ft²

Step-by-step explanation:

This figure is composed of

First, find the area of the half-circle.

The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2

Therefore, the area of the half-circle is:

(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²

Second, find the area of the right triangle.

The area of a triangle = ½bh.

Therefore, the area of the triangle is:

½ · 6 · 8 = ½ · 48 = 24 ft²

Add the two areas together:

24 + 25.12 = 49.12 ft²

Answer:

37) 14/35÷5/7

14/35×7/5

98/175

38). 5 5/6 ÷ 4 3/8

35/6 ÷ 35/8

35/6×8/35

280/ 210

28/21

Answer:

[tex]\frac{14}{35}\div \frac{5}{7}[/tex]

[tex]=\frac{14}{35}\times \frac{7}{5}[/tex]

[tex]=\frac{14}{5}\times \frac{1}{5}[/tex]

[tex]=\frac{14\times \:1}{5\times \:5}[/tex]

[tex]=\frac{14}{5\times \:5}[/tex]

[tex]=\frac{14}{25}[/tex]

-----------

[tex]5\frac{5}{6}\div \:4\frac{3}{8}[/tex]

[tex]=\frac{35}{6}\div \:4\frac{3}{8}[/tex]

[tex]=\frac{35}{6}\div \frac{35}{8}[/tex]

[tex]=\frac{35}{6}\times \frac{8}{35}[/tex]

[tex]=\frac{35\times \:8}{6\times \:35}[/tex]

[tex]=\frac{8}{6}[/tex]

[tex]=\frac{4}{3}[/tex]

[tex]=1\frac{1}{3}[/tex]

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

Hope it helps..

Have a great day!

Answer:

1 - y + y²

Step-by-step explanation:

1 + y³ is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

1 + y³

= (1 + y)(1² - 1(y) + y²) = (1 + y)(1 - y + y²)

Then

[tex]\frac{1+y^3}{1+y}[/tex]

= [tex]\frac{(1+y)(1-y+y^2)}{1+y}[/tex] ← cancel out the common factor (1 + y)

= 1 - y + y²

Answer:

96 chocolate bars

Step-by-step explanation:

If Brian sold 25% of his chocolate bars and now he's left with 72, let's subtract 25% from 100%.

100% - 25% = 75%

Now, let's set up the equation & solve:

1. Set up Equation

2. Cross-Multiply

3. Divide both sides by 75

Therefore, Brian started with 96 chocolate bars.

Answer:

96 bars

Step-by-step explanation:

100% - 25% = 75%

[tex]\frac{75}{100}[/tex] = [tex]\frac{72}{x}[/tex]

x = [tex]\frac{100*72}{75}[/tex] = 96 bars

Answer:

A. Parallel lines have the same slope

Step-by-step explanation:

The direction of parallel lines are the same and are not different, hence their slopes must be the same.

Answer:

61

Step-by-step explanation:

45/3 = 15

2*8 = 16

15+16-12+42 = 61

Answer:

15 + 16 + 30

and that is in total 61

Step-by-step explanation:

45/3 = 15

2×8 = 16

-12 + 42 = 30

you simplify an expression by calculating the part expressions, to be left only with the main terms and main operations.

Answer:

[tex]\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}[/tex]

Step-by-step explanation:

The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2\pi r[/tex]. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle [tex]\theta^{\circ}[/tex] is equal to [tex]2\pi r\cdot \frac{\theta}{360}[/tex].

Formulas at a glance:

Question 1:

The radius of the circle is 12 m. Therefore, the circumference is:

[tex]C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}[/tex]

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

[tex]\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}[/tex]

Question 2:

In the circle shown, the radius is marked as 2 miles. Substituting [tex]r=2[/tex] into our circumference formula, we get:

[tex]C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}[/tex]

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

[tex]\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}[/tex]

Answer:

1/4

Step-by-step explanation:

Each coin has a probability of 1/2 of landing on tails

What you do is multiply these probabilities together to get 1/4

Answer:

sqrt(24)

Step-by-step explanation:

The number is slightly less than 5

We know that 5^2 =25

sqrt(25) = 5

so the number has to be less that sqrt(25)

The only number less than sqrt(25) is sqrt(24) and sqrt(20)

sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)

Answer:

Hello,

answer B

2

Step-by-step explanation:

[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]

yeah me too can someone help us?hope someone helps :)

Answer:

a polygon has 3 or more sides

Answer:

i can help you i know this answer

Answer:

d talking into microphone

9514 1404 393

Answer:

  5.7·10^-3

Step-by-step explanation:

The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.

Answer: 1:3

Step-by-step explanation:

The odds are 2/6 because you’re given 2 choices from the 6 side die you can then simplify that fraction to 1:3

Answer:

35.54

Step-by-step explanation:

use inverse tan

soh cah toa

we have both opposite and adjacent so we are using tangent

[tex]tan^{-1} (\frac{5}{7} )[/tex]

put that into a calculator and it would give you approximately 35.54 degrees

Answer:

17 lb I guess 8 don't think the question is full

Step-by-step explanation:

the question is half

Answer:

the bottom one

Step-by-step explanation:

and im doing the same testing site for summer school lol