Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.

6 x = negative 2 x minus 4.5

What errors did Emma make? Select two options.
She should have used division to represent the quotient of six and x.
She should not have included an equal sign.
She should have used parentheses to show that Negative 2 is multiplied by (x minus 4.5).
She should have subtracted the difference (x minus 4.5) from Negative 2.
She should have used parentheses to show that Negative 2 is multiplied by (4.5 minus x).

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

Answer:

1) Given

2) vertical angles

3) SAS

4) CPCTC

5) Angle Addition

6) By construction

7) Transitive

Step-by-step explanation:

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Hope this is helpful

Answer:

15.58

Step-by-step explanation:

Hope this helps.

Answer:

[tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex]

Step-by-step explanation:

Given: [tex]x^2+4x-7[/tex]

Complete the square: [tex](x^2+4x+16)-23[/tex]

Reduce trinomial: [tex](x+4)^2-23[/tex]

Therefore, [tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex].

Answer:

∠RPQ = 27

Step-by-step explanation:

In ΔSRQ,

∠R = 90

∠SQR = 36°

∠R + ∠SQR + ∠RSQ = 180    {Angle sum property of triangle}

90 + 36 + ∠RSQ = 180

126 + ∠RSQ = 180

         ∠RSQ = 180 - 126

        ∠RSQ = 54°

∠PSQ +∠RSQ = 180   {Linear pair}

∠PSQ + 54 = 180

 ∠PSQ = 180 - 54

∠PSQ = 126

In ΔPSQ,

SQ = PS ,

So, ∠SQP = ∠SPQ    {Angles opposite to equal sides are equal}

∠SQP = ∠SPQ   =x

∠PSQ + x +x = 180  {Angle sum property of triangle}

126 + 2x = 180

2x = 180 - 126

2x = 54

x = 54/2

x = 27

∠RPQ = 27°

Answer:

C. 64, 32, 16

Step-by-step explanation:

This geometric sequence is made by dividing the numbers by 2:

512 ÷ 2 = 256

256 ÷ 2 = 128

Hence, the next term will be

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

Therefore, the correct answer is C.

The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,

Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2

Now, the nth term of the given sequence can be defined as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

   = 512 × (1/2)⁽ⁿ⁻¹⁾

Therefore, the next term of the given geometric progression will be,

a₄ = 512 × (1/2)³ = 64

a₅ = 512 × (1/2)⁴ = 32

a⁶ = 512 × (1/2)⁵ = 16

Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.

Learn more about Geometrical Series here:

https://brainly.com/question/4617980

#SPJ2

Answer:

DEC and AEB are the same angles

Answer:

see below

Step-by-step explanation:

sin(x)=1

Take the inverse sin of each side

sin ^ -1(sin(x))=sin ^-1(1)

x =90 + 360n where n is an integer

We can go around the unit circle and find more solutions

When x = 450, sin 450 = 1

When x = -270, sin (-270) = 1

Answer:

√113

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(-5 - 3)² + [6 - (-1)]²

√(-8)² + (7)²

√(64) + (49)

√113

Answer:

2y

Step-by-step explanation:

2x-3=2y

2x-2y=3

Answer:

x = 3, y = 1.5

Step-by-step explanation:

Given the 2 equations

x + 2y = 6 → (1)

2x - 3 = 2y → (2)

In (2) subtract 2y from both sides and add 3 to both sides

2x - 2y = 3 → (3)

Adding (1) and (3) term by term will eliminate the y- term

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3 + 2y = 6 ( subtract 3 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

Answer:

8

Step-by-step explanation:

It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.

Hope this helps and pls tell if it's correct.

9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer:

∠ JKL = 70°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary , then

∠ JKL + ∠ HJK = 180°

∠ JKL + 110° = 180° ( subtract 110° from both sides )

∠ JKL = 70°

Answer:

70

Step-by-step explanation:

did it before

Answer:

x=33

Step-by-step explanation:

The angles of a straight line always add up to 180°.

Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33

The two angles:

46° and 134°

completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.

Answer:

Ok so we know that the angle on top is 110 since the angle above is the same.

we also know that all the angle of the triangle will add up to 180 so

D+(180-E)+110=180

we also know that d and the angle directly across are the same so

180-110=70

70divide by 2 equals 35

now we subtratch 35 from 180 to get 145

E=145

D=35

Your Welcome

BIFFY OUT!!!

Answer:

d=e=35 degree

Step-by-step explanation:

Answer:

Mean A=7

median B=3/4 .75

Answer:

Step-by-step explanation:

mean = sum of data / no of data

= 4+7+5+9+11+6 /6

=42 / 6

=7

mean = 7

to find median arrange the data from ascending to descending order

Data = 3,4,6,8,10,12

median = (N +1) /      (N means no of data)

=(6 +1) / 2

=7/2

=3.5

= 3 rd term + 4 th term / 2

=6 + 8 / 2

=14 / 2

=7

median = 7

Answer:

maybe y - -3x = -11?

Step-by-step explanation:

im rushing so i may have did it wrong sorry

Answer:

{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}

Answer:

hey. pls complete your question

Explanation:

We simply list each letter one time. Any duplicates are tossed. If you sorted the letters alphabetically, then you'd get {C, E, I, L, N, O, T}. However, the order doesn't matter with sets.

Note: This listing method is another name for "roster method". Think of how sports teams list their roster, which is basically just a list of the players' names.

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

We are given the linear function below:

[tex] \large{f(x) = 3x + 13}[/tex]

To find f(4), simply substitute x = 4 in the equation.

[tex] \large{f(4) = 3(4) + 13} \\ \large{f(4) = 12 + 13} \\ \large \boxed{f(4) = 25}[/tex]

Answer

Answer:

x = 7

Step-by-step explanation:

A median bisects the opposite side length, therefore

14x = 6x+56

8x = 56,

x = 7

Answer:

x = 7

Step-by-step explanation:

given:

AM is the median

BM = 14x

MC = 6x + 5x

since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,

14x = 6x + 54

14x - 6x = 54

8x = 54

x = 54/8

x = 7

Answer:

[tex]{ \tt{ - \frac{10}{10}}} , \: { \tt{ - \frac{11}{10} }}, \: { \tt{ - \frac{12}{10} }}, \: { \tt{ - \frac{13}{10} }}......{ \tt{ - \frac{20}{10} }}[/tex]

Answer:

No,

Step-by-step explanation:

No, it's irrational.

Because, it is a non-terminating non recurring type number.