The balance in Susan's checking account was $245.35. After the bank deposited interest into the account, her balance went to $248.02. How much interest did the bank pay Susan

Answer:

m<B, m<C, m<A

Step-by-step explanation:

The length of sides and angle measures correspond. This means the angle opposite to the longest side is the largest, etc. The shortest side is AC, which is the opposite of <B, making it the smallest. Then, the same logic can be applied to <C which is the middle, and <A which is the largest. Therefore, from least to greatest the angles are m<B, m<C, m<A.

Answer: D. -7x-5y=-48

Step-by-step explanation:

The slope of AB is [tex]\frac{-1-4}{-3-4}=\frac{5}{7}[/tex]. Since perpendicular lines have slopes that are negative reciprocals, the slope of BC is -7/5.

Substituting into point-slope form,

[tex]y-4=-\frac{7}{5}(x-4)\\\\5y-20=-7(x-4)\\\\5y-20=-7x+28\\\\\boxed{-7x-5y=-48}[/tex]

Answer:

D 6,9

Step-by-step explanation:

Answer:

Step-by-step explanation:

okay

Answer:

6.3 & -6.3

Step-by-step explanation:

6.3 is the same as -6.3, hope this helps

Answer:

-6.3 and 6.3

Step-by-step explanation:

-6.3 is same as 6.3 is absoulte value

Answer:

a=101.223

Step-by-step explanation:

use SOCATOA

or an online calculator

https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

Answer:

C

Step-by-step explanation:

6 * 5 = 30

3*4 = 12

30 + 12 = 42

42 does not equal 18

Answer:

The answer is C. (5,4)

Step-by-step explanation:

have a great day.

Answer:

Solution in photo

Answer:

x=3

Step-by-step explanation:

4(x+1) -2x = 5-x

divid 4 by whats in parentheses

4x+4 -2x =5-x

combind 4x and -2x

2x+4=5-x

combind 2x and x

3x+4=5

subtract 4 from 5

3x=1

3÷3 and 1÷3

x=3

Answer:

x = 0.33

Step-by-step explanation:

4(x + 1) - 2x = 5 - x

4x + 4 - 2x = 5 - x

4x - 2x + 4 = 5 - x

2x + 4 = 5 - x

2x + x + 4 = 5 - x + x

3x + 4 = 5

3x = 5 - 4

3x = 1

3x ÷ 3 = 1 ÷ 3

x = 0.33

Answer:

200

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

The two is in the hundredths place

Answer:

I'd go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

2 : 5

Step-by-step explanation:

4/10 = 8.6/21.5 = 10/25 because all ratios equal 2/5

Answer:

2:5

Step-by-step explanation:

all the ratios are equal

Answer:

[tex]x=1\pm i[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]

The above equation is a quadratic equation whose solution can be given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here,

a = 1, b = -2 and c = 2

So,

 [tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]

So,

[tex]x=1+i,1-i\\\\x=1\pm i[/tex]

So, the solution of the equation is [tex]1\pm i[/tex].

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = x^2 - 2x[/tex]

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

Answer:

if u mean absolute value it is 5.

the value is always positive an dmeans how far is it from the numberline

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me

Answer:

486 square inches

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Similar triangles and proportional side lengths.

10/4 = x/6

5/2 = x/6

2x = 5 * 6

2x = 30

x = 15

Answer:

b) 3 * m - 5

Step-by-step explanation:

i rember a test i took on these

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )

$110

Step-by-step explanation:

formula= P×T×R ÷ 100

550×4×5÷100

55×4×5÷10

1100÷10

$110

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

Answer:

-20

Step-by-step explanation:

Complete the square to find the vertex of this parablola x^2-8x-y-4=0   {the second one of -20; so 4,-20}

Step-by-step explanation:

The answer would be (4,-20)

Fill in 4 and -20

1) 16

2) -6 -(-17) = -6 +17= 11

3) 19 -(-2) = 19 + 2 = 21

4) -13 + 20 = 7

5) -22

6) -9

7) -19

8) -6

9) -17

10) -20

11) -15 -(-10) = -15 + 10 = -5

12) -1

13) 30

14) 11 -(-9) = 11 + 9 = 20

15) 16

16) -21

Answer:

Angle 3 is greater than angle 4

TrUsT mE

Answer:

2nd option..... Angles 3 and 4 are complementary Angles.

Answer:    14.4

30*48=14.4%

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation: