Which of these statements best describes the relation shown in Item 1?

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.

Statement                             Reason

RS ⊥ TS and RV ⊥ TV           Given

∠S = ∠V are right angles      Definition of perpendicular. Since RS ⊥ TS,

                                               hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°

ST ≅ VT                                  Given

RT ≅ RT                                  Reflexive property of congruence

ΔTSR  ≅ ΔTVR                      Hypotenuse leg congruence theorem. For

                                              two right triangles, if the hypotenuse and leg

                                              of one triangle is the same as the hypotenuse

                                              and leg of the second triangle, then the two

                                               triangles are congruent.

RS ≅ RV                                  Definition of congruency.

Answer:

C, Length = 39.4 cm; width = 7.9 cm

Step-by-step explanation:

The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)

The length is 4 times w plus 7.8.

So:  2w+2(4w+7.8)=94.6

=  2w+8w+15.6=94.6  (Factor out the brackets)

=  10w+15.6=94.6  (Combine like terms)

=  10w=79  (Subtract 15.6 from both sides)

=  w=7.9  (Divide both by 10).

So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)

Answer:

              J < -7

Explantion:

Rewrite so J is on the left side

                  -20j > 140

               Divide each term by -20 and simplify

                   j < -7          

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

Answer:

(x-4.72)(x+5.72)

Step-by-step explanation:

I2+ i - 72

is it i^2+i-72?

(x-4.72)(x+5.72)

Answer:

[tex]\displaystyle m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (6, 8)

Point (5, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

3

Step-by-step explanation:

-3/-1 = 3

the slope of a line passing through (6,8) and (5,5) is 3.

Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7

The value of the expression is 15/7.

Division is the process of dividing a number by a given number.

The given expression is 30 ÷ 14.

Solve the expression as follows:

30 ÷ 14

= 30/14

= 15/7

Hence, the value of the expression is 15/7.

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Answer:

$120

Step-by-step explanation:

9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  [tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

Answer:

the percent of the pies did she sell is 84%

Step-by-step explanation:

The computation of the percent of the pies did she sell is as follow;

= Number of pies sold ÷ total number of pies purchased

= 42 ÷ 50

= 84%

Hence, the percent of the pies did she sell is 84%

We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come

Answer:

6 and 7

Step-by-step explanation:

--_45"gfsu. tc. jkk

Answer:

6x-7

Step-by-step explanation:

1/3x12x=4x

1/3x6x=2x

1/3x21=7

4x+2x=6x

Answer: m = 0.75

Step-by-step:

Answer:

Car A

Step-by-step explanation:

All you have to do is find the rate of change

Distance            Gallons

300                     8

320                    10

Car A

300 : 8

37.5 : 1

Car B

320: 10

32  :   1

37.5 > 32

So Car A gets the better gas mileage.

Hope this helped!

Answer:

Step-by-step explanation:tha answer is -120

Answer:

1.88 pounds

Step-by-step explanation:

First, find the total amount of sugar, since there were 2 shipments

22.56(2)

= 45.12

Then, divide this by 24:

45.12/24

= 1.88

So, each canister had 1.88 pounds of sugar

Answer:

We conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

The graph of the line is also attached.

Step-by-step explanation:

Given

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values m = -3 and the point (13, 4)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 4 = -3(x-13)[/tex]

Add 4 to both sides

[tex]y-4+4=-3\left(x-13\right)+4[/tex]

Simplify

[tex]y=-3x+43[/tex]

Therefore, we conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

The graph of the line is also attached.

Answer:

18

Step-by-step explanation:

wz/18√2 = sin 45° = √2/2

wz = 18√2 x √2 / 2 = 18

Answer: Eva could have 6 dimes and 10 quarters.

y≤18−x

y≥12− 2/5x

Step-by-step explanation:

x+y≤18

0.10x+0.25y≥3

Answer:

Step-by-step explanation:

if the store marks up the price by 40%

119*(40/100)=47.60

119+47.60=166.60

Answer:

y=1.75x-2.75 slope would be 1.75

Step-by-step explanation:

Use a Regression Calculator

Answer:

x = 21

Step-by-step explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21

Answer:

6.5y + 10

Step-by-step explanation:

Combine like terms:

0.5y + 6.5y - 0.5y + 10.5 - 0.5

= 6.5y + 10

Answer:

Step-by-step explanation:

0.5y+10.5+6.5y-0.5-0.5y=

6.5y+10

answer:c)x-intercept:(-15,0) and y-intercept(0,3)

Step-by-step explanation:

x -5y= -15

x = -15

(-15,0)

y = -15 / -5

=3

(0,3)

Answer:

D

Step-by-step explanation:

Answer:

1.7miles

Step-by-step explanation:

You have to multiply 14 by 3 and divide 14 by 8

Something like this

14x3/8

which would give you around 1,7miles

Answer:

C

Step-by-step explanation:

Trust me just took the test

75  unique random numbers must be read from the table of random digits

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.

There are 75 students in the school who can participate in the experiment.

0 - 4 and 1 - 5 aren't enough.

0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

Hence, 75  unique random numbers must be read from the table of random digits

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Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

The fraction that represents the book john has left to read is 5/12.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.

Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -

1/3 + 1/4 + x/y = 1

x/y = 1 - 7/12

x/y = 5/12

Therefore, the fraction that represents the book john has left to read is 5/12.

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