Answer the question in the picture

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

Step-by-step explanation:

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Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

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Answer:

slope = - 3

Step-by-step explanation:

[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}[/tex]    ,    [tex][ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ][/tex]

[tex]slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3[/tex]

Answer:

20/3pi

Step-by-step explanation:

[tex] \frac{75}{360} \times 2\pi \times 16 \\ = \frac{2400}{360} \pi\\ = \frac{20}{3} \pi\\ = 20.94 \: cm[/tex]

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Answer:

It will be 1020

Step-by-step explanation:

2 extra large = 85 ounces

multiply by 6 to get to 12 cups

85*12=1020

Answer:

Evaluated, you get 4x^4

Step-by-step explanation:

Differentiated, you get 16x^3

It all depends on what you're looking for, really

Answer:

[tex]y=a(x+2)^{2} -3\\-2=a(-5+2)^{2} -3\\\frac{-2+3}{9} =a\\a=\frac{1}{9} \\[/tex]

Step-by-step explanation:

Answer:

c. |-30|

Step-by-step explanation:

It wants the change from 11 to -19. While normally absolute value is the distance from zero, zero can be shifted. Depending on where you are in learning about absolute value, the midway point can change from zero to, say, 4. This is called a transformation and is typically represented on a graph. Simple answer is that zero is shifted to 11. Therefore, absolute value changes from distance away from zero, to distance away from 11.

I hope this helped :)

Step-by-step is this the answer you wanted thanks for correcting me

Answer:

Step-by-step explanation:

[tex]y = \frac{2}{3}x - 4\\\\when \ y = 0, \ x = \frac{4 \times 3}{2} = 6\\\\When \ x = 0 , \ y = - 4[/tex]

Answer:

c i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

PQRS is a parallelogram with QR = 6 cm, QT = 3 cm and ∠PSR = 115°.

a). By the property of a parallelogram,

   "Diagonals of a parallelogram bisect each other"

   QT = TS

   QS = 2(QT)

         = 2(3)

         = 6 cm

b). "Adjacent angles of a parallelogram are supplementary"

     m∠PSR + m∠SRQ = 180°

     115° + m∠SRQ = 180°

     m∠SRQ = 65°

c). Since, SQ = SR = 6 cm

    m∠QSR = m∠SRQ [Opposite angles of the equal sides of an isosceles triangle]

    m∠QSR = 65°

    By applying triangle sum theorem in ΔQSR,

    m∠SQR + m∠QRS + m∠QSR = 180°

    m∠SQR + 65° + 65° = 180°

    m∠SQR = 50°

Answer:

x = 7

Step-by-step explanation:

If the triangles are similar, the side length ratios have to be the same

49                 63

------------- = ---------

42                  8x-2

Using cross products

49 ( 8x-2) =42 (63)

Divide each side by 49

8x-2  = 42*63/49

8x -2 = 54

Add 2 to each side

8x = 56

Divide b 8

8x/8 = 56/8

x = 7

Answer:

Volume of cube = 216

Dimesnions of cuboid = 4 * 6 * x

x = 216 / 24x

x = 9cm

Step-by-step explanation:

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Answer:

x = - 12

Step-by-step explanation:

- 10x + 1 + 7x = 37

- 3x + 1 = 37

- 3x + 1 - 1 = 37 - 1

- 3x = 36

- 3x ÷ - 3 = 36 ÷ - 3

x = - 12

Answer: x = -12

Step-by-step explanation: first you combine like terms/simplify the equation: -10x + 1 + 7x = 37 turns into -3x + 1 = 37.

then subtract 1 from both sides: -3x + 1 = 37 then -3x + 1 - 1 = 37 - 1 then -3x = 37 - 1 then -3x = 36.

then divide both sides of the equation by -3 and then you're done

Answer:

480,700 sets (first choice)

Step-by-step explanation:

If all 25 questions are different,

When order of selection counts:

P(25,7)

= 25!/(25-7)!

= 15511210043330985984000000/6402373705728000

= 2422728000

When order of selection does not count count:

C(25,7)

=25!/(7!*(25-7)!)

=15511210043330985984000000/(6402373705728000*5040)

= 480,700

Hope this helps, have a nice day.

Answer:

x = -2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

Answer:

(8,5):

8 is x-axis

5 is y-axis

Answer:

x = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

can you make it a bit clear to understan?

Answer:

C

Step-by-step explanation:

Given

24x² - 22x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 5 = 120 and sum = - 22

The factors are - 12 and - 10

Use these factors to split the x- term

24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )

= 12x(2x - 1) + 5(2x - 1)  ← factor out (2x - 1) from each term

= (12x - 5)(2x - 1) ← in factored form → C

Answer:

R6.775

Step-by-step explanation:

Given that :

The transaction fee charged is calculated using the relation :

Transaction fee = R2.50 + 0.95%(amount deposited)

If amount to deposit is R450 ; the bank charge will be:

R2.50 + 0.95%(Amount deposited)

R2.50 + 0.0095(450)

R2.50 + R4.275

R(2.50 + 4.275)

R6.775

Answer:

[tex]g(x) = |x+4|+2[/tex]