ЗХ - 2y = 7
6x - 4y = 14

Answer:

Step-by-step explanation:

4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.

a) BN = SW                                        d) m∠W = m∠N

  BN = 9 cm                                           m∠W = 82°

b) TW = FN                                        e) m∠B = m∠S

TW = 14 cm                                            m∠B = 67°

c) BF = ST                                          f) m∠B + m∠N + m∠F = 180°

  BF = 17 cm                                                 67 + 82 + m∠F = 180

                                                                            149 + m∠F = 180

                                                                                     m∠F = 180 - 149

                                                                                      m∠F = 31°          

5) ΔUVW ≅ ΔTSR

UV = TS

12x - 7 = 53

   12x   = 53+7

   12x = 60

      x = 60/12

      x = 5

UW =TR

3z +14 = 50

    3z = 50 - 14

   3z = 36

     z = 36/3

    z = 12

SR =VW

5y - 33 = 57

     5y = 57 + 33

     5y = 90

       y = 90/5

       y = 18

7) ΔPHS ≅ ΔCNF

∠C = ∠P

4z - 32 = 36

      4z = 36 + 32

       4z = 68

        z = 68/4

       z = 17

∠H = ∠N

6x - 29 = 115

  6x     = 115 + 29

      6x = 144

        x = 144/6

       x = 24

∠P + ∠H + ∠S = 180   {Angle sum property of triangle}

36 +115 + ∠S = 180

      151   + ∠S = 180

                ∠S = 180 - 151

               ∠S = 29°

∠F = ∠S

3y - 1 = 29

   3y = 29 + 1

  3y = 30

    y = 30/3

    y = 10

8) ΔDEF ≅ ΔJKL

DE = 18    ;  EF = 23

DF = 9x - 23

JL= 7x- 11

DF = JL           {Corresponding parts of congruent triangles}

      9x - 23 = 7x - 11

9x  - 7x - 23 = -11

        2x - 23 = -11

               2x = -11 + 23

               2x = 12

                 x = 12/2

                x = 6      

JK   = DE           {Corresponding parts of congruent triangles}

3y - 21  = 18

       3y = 18 + 21

        3y = 39

         y = 39/3

        y = 13

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Absolute value.

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

[tex] |y| = \sqrt{ {2}^{2} + {9}^{2} } [/tex]

so we get as,

|y| =

[tex] \sqrt{81 + 4} = \sqrt{85} [/tex]

so the absolute value is

[tex] \sqrt{85} [/tex]

Answer:

gradient is 0.35

Step-by-step explanation:

The gradient or slope of the line is 1/4.

The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).

The graph of the line is given.

Note that the line passes through the point (0,1) ad (4,2).

The gradient of the line is nothing but the slope of the line.

The slope of the line is:

m = (2-1)/(4-0)

m = 1/4

Hence, the gradient or slope of the line is 1/4.

To learn more about slopes, click here:

https://brainly.com/question/3605446

#SPJ5

9514 1404 393

Answer:

  11.85 deciliters

Step-by-step explanation:

Your table tells you 1 cup is 0.237 liters. Then 5 cups is ...

  (5 cups)(0.237 L/cup) = 1.185 L = 11.85 dL

__

"deci-" is the SI prefix for 1/10. 1.1 liters is 11 tenths of a liter.

Answer:

no it is not the same.

Step-by-step explanation:

it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.

-2

Step-by-step explanation:

The difference between second term and first term or third term and second term in an AP series is called common difference.

Hence, in the given sequence −2,−4,−6,......, the common difference is −4−(−2)=

Answer: −18x+4

Step-by-step explanation:  

=(−6)(3x+ −2/3)

=(−6)(3x)+(−6)(

−2/3)

Answer:D -18x+4

explanation: just took the test

Answer:

7°

Step-by-step explanation:

If the temperature was -5 and it increased by negative 12, it's asking you to add -5 and 12

-5+12=7

Answer: A= 4.5 B=no C= 4.5

Step-by-step explanation:

Answer:

14 tables left

Step-by-step explanation:

23-6-3= 14

Answer:

3/10

Step-by-step explanation:

There are 1000 mL in a L

1500mL=1.5L

So

1.5/5

multiply by 10/10

15/50

Simplify:

3/10

Hopefully I was helpful!

Answer:

B and C

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

− 3/2

Decimal Form:

− 1.5

Mixed Number Form:

− 1 1/2

Answer: 12 different ways.

Step-by-step explanation:

For a set of M elements, the number of combinations of N elements (N ≤ M) is given by:

[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]

In this case we know that there is a room that can hold two of the girls, then the number of combinations of the two girls that can be in that room is:

[tex]C(4, 2) = \frac{4!}{2!*2!} = \frac{4*3}{2} = 6[/tex]

So these are the different combinations for the larger room.

So we assume that two girls already have a room, then we have two girls left and two rooms left.

For the first room, there are two possible girls that can be in, let's choose one of them.

For the last room, whe have only one girl left, so we have one option.

The total number of combinations will be equal to the product between the number of options for each event (where the events are assigning the girls to the rooms)

Then the number of different outcomes is:

C = 6*2*1 = 12

There are 12 different ways.

Answer:

9.59

Step-by-step explanation:

You divide 6.85 by 5 to get 1.37, then you multiply it by 7 to get your answer 9.59 :)

Answer:  42.857142857142854

Step-by-step explanation:

Rounded to the nearest tenth: 42. 9 or 42.90

Rounded to the nearest hundred: 42. 86 or 42.860

Hope this help, take care.

Answer:

15. Yes, it is larger than 14.

Step-by-step explanation:

In this problem,

[tex]\frac{3}{5}[/tex]×25,

25 is divided by 5 and the remainder is 5, So,

3×5 = 15,

Now,

15 > 14,

So, the product of ([tex]\frac{3}{5}[/tex] × 25) is greater than 14

Answer:

vudnfvd 3/5

Step-by-step explanation:

Answer:

2,400 minutes and its is 144,000 secods

Step-by-step explanation:

Answer:

43,000

Step-by-step explanation:

The number after the 3 in the thousandth place is 4. That is on the lower side of 5, so the number decreases.

Answer:

ssssssssssssssssssssssssssssss

Step-by-step explanation:

Answer is one hundred and eight

Answer:

Step-by-step explanation:

2 more tiles are added in the next figure so in figure 30 the tiles will be 61

Answer:

9 tiles

Step-by-step explanation:

So figure 3 is literally figure 2 but added 1 to each corner. If the pattern is to contiue there should be 9 for figure 4.

Answer:

931.00

Step-by-step explanation: took the quiz

Answer:

2x i hope it is right good luck

Answer:

sorry I don'tknow. ...answer

Answer:

3

Step-by-step explanation:

Convert to improper fractions:

4 1/2 = 9/2

1 1/2 = 3/2

Find the reciprocal:

9/2 / 3/2 = 9/2 x 2/3

Multiply:

9/2 x 2/3 = 18/6

Simplify:

18/6 = 3

Answer:

$16

Step-by-step explanation:

20% of 20 is 4, $20- $4 = $16.

Step-by-step explanation:

16

first we need to find out how much that 20$ to 20%

which is 4 so then do 20 minus 4 wihch is 16

Answer:

I believe it is (Square root) And then make it positive. Therefore, 634 should be the correct answer.

Step-by-step explanation:

Answer: The answer is true :)