Sammy starts with $50 in her saving account and adds $50 each week. Write an equation that Sammy can use to show how much money she has after a certain number of weeks

Answer:

∠1 is 90° because it is a right angle

To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;

x + 90 + 30 = 180

x + 120 = 180

-120        -120

x = 60, ∠2 = 60°

Angle 5 is vertical to angle 1 which equals 90 degrees, and vertical angles are congruent meaning that they measure the same degrees so therefore ∠5 = 90°

Angles 4 and 40° are vertical to angle 2 which measures 60 degrees;

40 + x(where x equals angle 4) = 60

-40       -40

x = 20, ∠4 = 20°

Specified earlier, angles 40° and 4 are equal to 60°, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.

So we set up the equation;

40 + 20(angle four) + x = 90

60 + x = 90

-60       -60

x = 30, ∠3 = 30°

The required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12. which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

⇒ 3 - 4x = 12

Subtraction by 3 on both sides of the above equation,

⇒ 3 - 3 - 4x = 12 - 3

⇒ 0  - 4x = 9

⇒ - 4x = 9

Multiply by (-1) on both sides of the above equation,

⇒  4x = - 9

Therefore, the required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12.

Hence, the correct answer would be an option (C).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

x=5

Step-by-step

5x+2(2x+3)=51

5x+4x+6=51

9x+6=51

9x=45

x=5

Answer:

Step-by-step explanation:

11. x = 8*sin60degree = 6.9

12. x = 6*tan30degree = 3.5

13. x = 25 / tan68degree = 10.1

14. x = 9/cos49degree = 13.7

18. LK = sqrt(16^2+24^2-2*16*24*cos29degree) = 12.7

19. m<H = 65.4

20. GF = 26.2

Answer:

18. LK = sqrt(16^2+24^2-2*16*24*cos29degree) = 12.7

19. m<H = 65.4

20. GF = 26.2

Step-by-step explanation:

It is difficult to understand if human beings are truly aware that there is such a moral law, given that they don't share the same principles regarding rules of life.

Natural law is supposed to be a universally valid, superior or better law that is considered natural, grounded in the natural order of things. This is the opposite of positive law, the law created by humans.

According to legal positivism, natural law is problematic, since even the so-called fundamental values ​​and norms are not collective, but can conflict and even oppose each other.

In philosophy, natural law is the designation of a way of thinking about man and society that has existed for more than two thousand years, which is based on the basic idea that human nature exists and that society is also based in a natural order.

Learn more about natural law in https://brainly.com/question/545663

Answer:

For triangle one: 37 degrees

For triangle two: 26 degrees.

Step-by-step explanation:

All the angles in the triangle should add up to 180 degrees. Add the two angles you have together to get a number, then subtract it from 180 to get the missing angle.

Equations:

Triangle 1:

82+55=137

180-137=43

Triangle 2:

120+34=154

180-154=26

In the quadrant (iv) terminal side of the angle fall. A quadrant is a region/section of a cartesian plane formed when the two axes intersect. It's used to figure out where a point is in a plane.

A horizontal line reached the x-axis and a vertical line reached the y-axis split a plane into four areas in the cartesian system. Quadrants refer to these four areas.

A quadrant is a region of a cartesian plane formed when the two axes intersect. It's used to figure out where a point is in a plane.

The angle in the standard position is measured at 92 degrees. We shall work in an anticlockwise fashion while evaluating positive angles.

Angles measuring 0° to 90° will be found in quadrant iv. Angles between 90° and 180° fall within quadrant iv. Because 92° is halfway between 90° and 180°,

Hence in the quadrant (iv) terminal side of the angle fall.

To learn more about the quadrants refer to the link;

https://brainly.com/question/350459

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?Quadrant IQuadrant IIQuadrant IIIQuadrant IV

Answer:

wait i don’t get it.

Step-by-step explanation:

♦The prime number smaller than 18.

Answer:

♦2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

#Let's Study

#I Hope It's Help

#Keep On Learning

#Carry On Learning

The remaining money will be $62. 65 billion

Given amount =$67. 8 billion

Amount used to cover several failed banks = 7.6% of the total amount

So the amount used to cover several failed banks=  [tex]\dfrac{67.8\times 7.6}{100}[/tex]

[tex]Amount = 5.1528[/tex]

So the remaining amount = [tex]67.8-5.15=62.65[/tex]

Thus the remaining money will be $62. 65 billion

To know more about percentage follow

https://brainly.com/question/24304697

Answer:

23696

Step-by-step explanation:

[tex]Step1\1\\We\ know\ that:[/tex]

↓

[tex]P=15000[/tex]
[tex]r=6.75[/tex]%
[tex]n=1[/tex]
[tex]t=7[/tex]

[tex]Step\ 2:\ Formulate\ and\ substitute:[/tex]

                                [tex]P=15000[/tex]
                                [tex]r=6.75[/tex]%

[tex]Substitute[/tex]                                  [tex]into\ formula[/tex]

                                [tex]n=1[/tex]
                                [tex]t=7[/tex]

[tex]F=P\ast(1+r/n)^{nt}[/tex]

[tex]F=15000\bullet(1+6.75\bullet\frac{1}{100})^7[/tex]

[tex]Step\ 3:Evaluate[/tex]

[tex]Evaluate\ the\ equation/expression:[/tex]

[tex]23695.53098[/tex]

[tex]Step\ 4:\ Find\ the\ value[/tex]

[tex]Find\ the\ closest\ integer\ to\ 23695.53098:[/tex]

[tex]23696\ YOUR\ ANSWER[/tex]

I hope this helps you

:)

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

4. a=30 because 90-70

since a=30, take 90 - 30 to get b, 70

d= 70, vertically opposite angles

e = 130 because a+b+c, vertically opposite angles

Answer:

$18.90

Step-by-step explanation:

$15 with a 40% markup is $21

$21 with a 10% off is

$18.90

Answer:

$78.75

Step-by-step explanation:

Principle: $750

Interest rate: 3.5%

Time: 3 years

750 x 3 x 3.5 % = $78.75

Answer:

(0,2)

Step-by-step explanation:

X-INTERCEPTS

Plug y=0 into the equation and solve the resulting equation −4x=8 for x (use the equation solver).

The x-intercept:

(−2,0)

Y-INTERCEPTS

Plug x=0 into the equation and solve the resulting equation 4y=8 for y (use the equation solver).

The y-intercept:

(0,2)

Answer:

non- linear because they do not form a straight line, they go down then up.

Step-by-step explanation:

Answer:

The x value wouldn't change because its being reflected in the y axis.

As y=2 is two away from the current line y=0 then the new coordinate for y will be two away from y=2 again.

So the coordinate would be x = - 3, y=4. (-3, 4)

Answer:

a) 390

b) 239

c) 151

Step-by-step explanation:

a) 30 + 15 + 45 + 300 = 390

b) 160 + 30 + 9 + 40 = 239

c) 390 (income) - 249 (expenses) = 151 pounds (profit)

the choices are doing a bit of rounding up btw, so hmmm let's use 19.8 as rounded up to 20 and the value of 9.8% as to be rounded up to 10%.

20(1) = 20, gives us our 100%

let's increase the rate of growth in the parentheses by 10%, put in decimal format that'll be 10/100 = 1/10 = 0.1, so if we increase the rate by 0.1, we'll have a rate of 1 + 0.1 = 1.1

20(1.1) = 22 = 20 + 2 = 100% + 10%

so now let's round up say 5.1% to simply 5%, which in decimal format will just be 5/100 = 0.05.

[tex]\stackrel{\textit{100\% plus 10\% extra}}{20(1.1)}\qquad \qquad \underset{2015~out put\textit{ of wheat}}{\stackrel{\textit{this amount~~~~~plus 5\% of that amount}}{20(1.1)~~~~~~~~~~(1.05)}}[/tex]

Answer:

[tex]\frac{1}{3600}[/tex]

Step-by-step explanation:

400^2 = 160,000

5 2/6 = 32/6 = 16/3

6 70/30 = 250/30 = 25/3

16/3 * 25/3 = 400/9

400/9 / 160,000 = 1/3600

Answer:

5x+3

Step-by-step explanation:

(5x+7) is a factor of 10x^2+41x+21.

(5x+3)(2x+7) = 10x^2+41x+21.

Answer:

the answer is 6C+24 or if you divide 6 on both sides c+4

examples/expressions:

1. 4(1.5c+6)

2. 3(2c+8)

3. 2(3c+12)

4. 12(0.5c+2)

Answer:

Hi I'm learning the same thing and I just got it I think it's C=43.98cm

Answer:

Step-by-step explanation:

Answer:

Line C correctly shows the data

Step-by-step explanation:

There is one 9 7/8

There is one 10 1/2. *Note that 4/8 is equivalent to 1/2

There is one 10 5/8

There is one 10 3/4 *Note that 6/8 is equivalent to 3/4.

There is one 10 7/8

There are three 11 1/4 * Not that 2/8 is equivalent to 1/4.

There, Line C correctly shows the data

Hope this helps!

Answer:

76 m^2

Step-by-step explanation:

Area of a rectangle is width*height. So to find width we will do area/height.