The sketch shows two parallel lines cut by a transversal. Which set of angle pairs are NOT corresponding angles? 2 parallel lines cut by a transversal. The angles formed with the first line, starting at the top left space and going clockwise are: 1, 2, 4, 3. The angles formed with the second line are 5, 6, 8, 7.

Answer:

[tex](a)\ y = 4\ or\ y = -\frac{1}{2}[/tex]

[tex](b)\ x = 2 \ or\ x = -\frac{1}{4}[/tex]

Step-by-step explanation:

Solving (a)

[tex]2y^2 - 7y - 4 = 0[/tex]

Expand

[tex]2y^2 +y - 8y - 4 = 0[/tex]

Expand

[tex]y(2y + 1) -4(2y + 1) = 0[/tex]

Factor out 2y + 1

[tex](y -4)(2y + 1) = 0[/tex]

Split

[tex]y - 4 =0\ or\ 2y + 1 = 0[/tex]

Solve:

[tex]y = 4\ or\ y = -\frac{1}{2}[/tex]

Solving (b):

[tex]2(2x)^2 - 7(2x) - 4 = 0[/tex]

Compare the above with the equation in (a)

[tex]2y^2 - 7y - 4 = 0[/tex]

We have:

[tex]2x = y[/tex]

So:

[tex]2x = 4 \ or\ 2x = -\frac{1}{2}[/tex]

Solve for x in both cases

[tex]x = 2 \ or\ x = -\frac{1}{4}[/tex]

Answer:

sorry??

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Given :

4(x - 1/5) = 2 2/3

Open the bracket

4x - 4/5 = 2 2/3

Add 4/5 to both sides

4x - 4/5 + 4/5 = 8/3 + 4/5

Lcm of 3 and 5 = 15

4x = (40 + 12) / 15

4x = 40/15 + 12/15

4x = 52/15

Multiply by 1/4

4x * 1/4 = 52/15 * 1/4

x = 52 / 60

x = 13 / 15

Hence, the error is in step 3

15/5 * 3 = 12

Rather ; Leonardo wrote 16

Answer:

196°

Step-by-step explanation:

A full circle has an arc measure of 360°.

360° - 164° = 196°

Answer: 196°

Given:

The equation is:

[tex]4\log_2(2x)=x+4[/tex]

The graph of the [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are given on a coordinate plane.

To find:

The solution of the given equation from the given graph.

Solution:

From the given graph it is clear that the graphs of [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] intersect each other at points (1.24,5.24) and (16,20).

It means the values of both functions [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are equal at [tex]x=1.24[/tex] and [tex]x=16[/tex].

So, the solutions of given equation are [tex]x=1.24[/tex] and [tex]x=16[/tex].

Therefore, the correct option is only F.

Answer:

I believe it is 1, I might be wrong.

Step-by-step explanation:

Two points on the graph are (1,2) and (2,3)

The first set has variables of x1 and x2 the second has variables of y1 and y2.

The formula is y2 - y1/x2 - x1

Put in the values and you get 2 - 3/2-1.

You would get 1/1, which is equivalent to 1.

Answer:

1/4

Step-by-step explanation:

Given an event A and event B, the probability of both happening can be determined by multiplying the two individual probabilities.

We can start by finding the individual probabilities

The probability of rolling an odd number is 3/6 = 1/2, as there are 3 odd numbers (1,3,5) on a die and 6 possibilities total. Furthermore, there is a equal chance of rolling each number as it is a fair die

The probability of flipping a head is 1/2, as there are two equal possibilities (heads and tails), with one of them being heads

To find the probability of both happening, we can multiply them to get (1/2) * (1/2) = 1/4

it may be 12...........

Answer:

B) RS=5

Step-by-step explanation:

(2x-6)+(1)+(x-4)=18

2x-6+1+x-4=18

3x-9=18

3x=18+9

3x=27

x=9

Find RS

x-4

9-4

=5

Answer:

The value of x=3

Step-by-step explanation:

We are given that

AE is parallel to BD.

BC=12 units

CD=16 units

DE=4 units

AB=x

We have to find the value of x.

Triangle proportionality theorem:

When a line  is parallel to  one side  of a triangle and intersect the other two sides of triangle, then the line divides the sides proportionally.

Using triangle proportionality theorem

[tex]\frac{BC}{AB}=\frac{CD}{DE}[/tex]

[tex]\frac{12}{x}=\frac{16}{4}[/tex]

[tex]x=\frac{12\times 4}{16}[/tex]

[tex]x=3[/tex]units

Hence, the value of x=3

Answer:

A.

Step-by-step explanation:

To find the inverse of a function, first make f(x) a y

So,

y = [tex]\frac{12}{x}[/tex] -18

Then switch the x and the y

x = [tex]\frac{12}{y}[/tex] - 18

Solve, for y

Answer:

Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.

Recordar que para un rectángulo de largo L, y ancho W, el área es:

A = L*W

Entonces el área del piso, será:

A = 435cm*375cm = 163,125 cm^2

Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.

No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.

Dicho de otra forma

el largo, 435cm, tiene que ser múltiplo de L

el ancho, 375cm, tiene que ser múltiplo de L.

Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm

En este caso, el área de cada baldosa es:

a = L^2 = 5cm*5cm = 25cm^2

Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.

N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.

También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm

Entonces las baldosas podrían tener 15cm de lado.

En este caso, el área de cada baldosa es:

A = (15cm)^2 = 225cm

En este caso el número total de baldosas necesarias será:

N =  ( 163,125 cm^2)/(225cm^2) = 725 baldosas.

Answer:

I'm sorry but no idea

Step-by-step explanation:

No idea

Answer: 26.11

Step-by-step explanation:

73.18 - 5.23 × 90 = 73.18 - 47.07 = 26.11

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

         = (x+2)(x+2) +7

     FOIL

     = x^2 +2x+2x+4 +7

Combine like terms

    =x^2 +4x+11

Answer:

[tex]f(x+2)=x^2+4x+11[/tex]

Step-by-step explanation:

In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.

In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:

[tex]f(x+2)=(x+2)^2+7[/tex]

Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],

[tex]f(x+2)=x^2+4x+4+7[/tex]

Combine like terms:

[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]

Answer:

The last answer choice, or [-15 14  4a]

                                             [-4 5b -23]

                                             [  ?   ?   ?  ]

Step-by-step explanation:

In order to subtract matrices, they have to have the same dimensions, which this problem provides(both 3x3) Then, just subtract the numbers on the right from the corresponding numbers on the left. Example: -3-12=-15, which is the top left answer. Repeat with all positions.

Answer:

41

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

you would do the total which is 45-20

Answer:

A.   hexagonal prism

Step-by-step explanation:

The box has 2 congruent hexagons as bases, and 6 congruent rectangles as sides.

Answer: hexagonal prism

Answer:

3 dimes 1 nickel

Step-by-step explanation:

1 dime = 10 cents

3×1 dime = 30 cents

1 nickel = 5 cents

3 dimes + 1 nickel

= 30 cents + 5 cents

= 35 cents

Hello,

there are 20 combinations making a total of 35 cents

In qb64

Dim p As Integer, n As Integer, d As Integer, s As Integer, nb As Integer

nb = 0

For p = 0 To 35

   For n = 0 To 7

       s = 1 * p + 5 * n

       If s < 36 Then

           For d = 0 To 3

               s = p + 5 * n + d * 10

               If s = 35 Then

                   nb = nb + 1

                   Print nb, p; n; d

               End If

           Next d

       End If

   Next n

Next p

End

Answer:

khgygygiugug

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

75=75/100=3/4

3/4*b=12

b=12/1*4/3

Answer:

theta = 44.4 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig formulas

cos theta = opposite/ hypotenuse

cos theta = 15/21

Take the inverse of each side

cos^ -1 (cos theta) = cos ^-1 (15/21)

theta =44.4153086

theta = 44.4 degrees

³√5 / ⁴√5 = ¹²√5 = 5^1/12

5^1/12

Answer:

the answer is  5/|1 5

Step-by-step explanation:

Answer:

B

-1536

Step-by-step explanation:

Just replace n with 9

-6(2)^(9-1)

-6(2)^8

-6(256)

-1536

Answer:

shift

Step-by-step explanation:

shift

Answer:

6^12

Step-by-step explanation:

add up all the exponents

[tex]\displaystyle\bf \boxed{a^m\cdot a^n=a^{m+n}}\\\\6^5\cdot 6^2\cdot6^5=6^{5+2+5}=\boxed{6^{12} }[/tex]

Answer:

y = –|x - 1| + 3

Step-by-step explanation:

The "vertex" is (1 , 3)

y = –|x - 1| + 3