Ms. Lee's monthly bank statement shows an ending balance of $ 1 , 254.78 . She had one outstanding deposit of $ 352.21 and there was one outstanding check for $ 125.39 . Which of the following should the balance be in her checkbook register?

The triangles will be congruent by SAS if x = 25 , Option C is the correct answer.

A triangle is a polygon with three sides , angles and vertices.

Two triangles are given , in the figure

They have an angle equal to each other ,

For the Triangle to be congruent by SAS , two sides of the triangles must be proportional along with the angle included must be equal.

The two sides will become proportional when x = ?

8/10 = 20 /x

On solving this

x = 25 ,

Therefore the triangles will be congruent by SAS if x = 25.

The complete question is

What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?

A) 16

B) 20

C) 25

D) 50

The figure is attached with the answer.

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The scale of the x-axis is 3 seconds per box and the scale of the y-axis is 1 meter per box. The correct option is d.  x -axis is 3 seconds per box   y-axis is 1 meter per box

From the question, we are to determine the scale for each axis

From the given information,

The graph is drawn to be 20 boxes by 20 boxes

The range of values for the x-axis is 0 to 60 seconds

and

The range of values for the y-axis is 0 to 20 meters

Thus,

The scale of the x-axis will be

60 seconds ÷ 20 boxes = 3 seconds per box

The scale of the y-axis will be

20 meters ÷ 20 boxes = 1 meter per box

Hence, x -axis is 3 seconds per box and y-axis is 1 meter per box

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2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.

\(\sf{Set\:y = 0. Thus, }\)

\(\sf\rightarrow{0 = x2 – 3x + 2} \)

\(\sf\rightarrow{0 = ( x – 2) ( x – 1)}\)

\(\sf\rightarrow{x – 2 = 0 or x – 1 = 0} \)

\(\sf{Then\:x = 2\:and\:x = 1}\)

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Answer:

try all the square roots and wichever gets to 0.58(rounded) is your answer

Step-by-step explanation:

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

Because when a number is raised to negative indices, it automatically becomes a fraction of 1, with the number raised to the positive indices. If the original expression becomes the other. It's still equivalent and equal to the same value-just changed to make solving more easier

Step-by-step explanation:

Hope this helps:)

Answer:

Its 4.58

Step-by-step explanation:

Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Quadrilateral RSTV is dilated with the origin as the center of dilation using the rule (x, y) = (3/2x, 3/2y) to create quadrilateral R'S'T'V'.

Here, All the coordinates of vertex of Quadrilateral RSTV are,

R = (- 3, - 2)

S = (- 2, 3)

T = (2, 2)

V = (3, - 1)

Hence, By applying rule we get;

All the coordinates of vertex of Quadrilateral R'S'T'V' are,

R' = (- 3 × 3/2, - 2× 3/2) = (- 9/2. - 3)

S' = (- 2 × 3/2, 3 × 3/2) = (- 3, 9/2)

T' = (2 × 3/2, 2× 3/2) = (3, 3)

V' = (3 × 3/2, - 1 × 3/2) = ( 9/2. - 3/2)

Now, Distance between R and S;

RS = √ (- 3- (- 2))² + (- 2 - 3)²

     = √1 + 25

     = √26

And, Distance between R' and S';

R'S' = √ (- 3- (- 9/2))² + (- 3 - 9/2)²

     = √(3/2)² + (15/2)²

     = √9/4 + 225/4

    = √234/4

Hence, The scale factor is,

⇒ RS / R'S' = √26 / (√234/4)

                  = 2√26/ √234

                  = 2/3

                  = 0.67 < 1

Thus, Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

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Answer: XD way late to this party but here ya go

Plotted Points (-1, 1) (1, 3) (2, 2)

Answer:

I was having trouble with this one, but I got the question incorrect to show everyone what the right answer is, so I hope it helps those who need it!

Step-by-step explanation:

See image for answer!

Answer:

B

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

8•7 is 56

56 - 3 is 53

Answer:

53

Step-by-step explanation:

z = 7

8z is the same as saying 8×z

8×7-3 (do multiplication first)

56-3 = 53

Answer:

5

Step-by-step explanation:

The expression of X in terms of l is X = √5 l

According to the given information:

Determine the diagonal using the Pythagoras theorem:

X² = w²+(2w)²
X² = w² + 4w²

X =√5w²
X = √5 w

Replace w with l

X = √5 l

Hence the expression of X in terms of l is X = √5 l

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Answer:

the answer is 11 and 19 im pretty sure

Answer:

Step-by-step explanation:

The answer you have chosen is not correct. Let's walk through the simplification process, shall we?

Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:

\(\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}\) and then multiply both sides by the reciprocal of 2/3:

\(cx+\frac{1}{2}=\frac{33}{8}\) then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get

\(cx=\frac{29}{8}\) and finally divide both sides by c to get

\(x=\frac{29}{8c}\)  That's choice C.

Answer:

14x-4

Step-by-step explanation:

length:2x+3

width:5x-5

perimeter of rectangle:2(l+b)

:2(2x+3+5x-5)

:2(7x-2)

:14x-4

•••The perimeter of rectangle(p)=14x-4

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Step-by-step explanation:

well if you ment

\(5 \sqrt{ \frac{x}{5} } \)

then the inverse is:

\(y = 5 \sqrt{ \frac{x}{5} } = = > {y}^{2} = 25( \frac{x}{5}) = = = > \\ {y}^{2} = 5x = = = > \frac{{y}^{2} }{5} = x = = = > \\{f}^{ - 1} (x) = \frac{ {x}^{2} }{5} \)

and if you ment

\( 5 \frac{ \sqrt{x} }{5 } \)

then the inverse is:

\(y = 5 \frac{ \sqrt{x} }{5} = = = > y = \sqrt{x} = = = = > \\ {y}^{2} = x = = = > \\ {f}^{ - 1} (x) = {x}^{2} \)

Answer:

Place the copies of rectangle over the plane without any gaps.

Step-by-step explanation:

Tiling is a technique to cover two dimensional region with copies of same shapes. There should be no gap in the area or region. Tiling helps to fill out the area completely. The copies of rectangle are placed on the area that is to be tiled to cover the area.

The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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The range of values of  (f + g)(x) is for all values of x  -infinity to + infinity

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are Given f(x) = |x| + 9 and g(x) = –6,

Required the range of (f + g)(x)

First, calculate

(f + g)(x) = f(x) +  g(x)

Substitute values for f(x) and g(x)

(f + g)(x) = |x| + 9 - 6

(f + g)(x) = |x| + 3

The above expression shows that (f + g)(x) ≥3

Range = (f + g)(x) ≥3 for all values of x

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Step-by-step explanation:

2/3=0.66666666666

4/5=0.80000000000

10 rational numbers between them

0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79

Answer:

67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.

Answer:

20 feet po yan po yung sagot

Answer:

b 20.6

Step-by-step explanation:

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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Answer:

S. 2(x+3)

Not sure if I should show my work or no

Answer:

80 games

Step-by-step explanation:

10wins/16 games=50 wins/? games

10 times 5=50 so 16 times 5 =80

10.g=16.50

10/g=800/10

g=80 games

The number of games they need to play to win 50 games is 80 games if the Arizona Cardinals won ten games out of sixteen of their games during the 2009 regular season.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The Arizona Cardinals won ten games out of sixteen of their games during the 2009 regular season.

Let x be the number of games they need to play to win 50 games

The rate:

10/16 = 50/x

1/16 = 5/x

x = 16x5

x = 80 games

Thus, the number of games they need to play to win 50 games is 80 games if the Arizona Cardinals won ten games out of sixteen of their games during the 2009 regular season.

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