The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?

Answer:

Sam is incorrect

Step-by-step explanation:

I am not a dependable source

Given:

[tex]\Delta ABC\sim \Delta D E F[/tex]

[tex]AB=18,BC=21,AC=24,EF=7[/tex]

To find:

The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].

Solution:

We have,

[tex]\Delta ABC\sim \Delta D EF[/tex]

So, side BC is the corresponding side of EF.

Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is

[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]

[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]

[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]

Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].  

Answer:

1

Step-by-step explanation:

f(x)=4x-1

3(x)=4x-1

3x=4x-1

3x-4x=-1

-1x=-1

x=1

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

Answer:

Mean y = 19 ; SD y = 10

Step-by-step explanation:

Given that:

No of customers : __ 0 ____ 1 _____ 2 ___ 3

P(x) : ___________0.10 __ 0.20 __0.30 _0.40

Fuel cost =$1 (constant)

Amount paid per customer =$10

Number of customers = x

σx = 1 ; μx = 2

σ^2 = 1^2 = 1

Mean of Y

μy = E(Y)

= E(10x - 1)

= 10(Ex) - 1

E(x) = 2

= 10(2) - 1

= 20 - 1

= 19

σY = SD(y)

SD(10x - 1)

10*SD(x) - 1

SD(x) = 1

10(1) - 0

Note : SD of a constant = 0

10 - 0

= 10

The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.

Given :

The mean of Y can be calculated as given below:

[tex]\rm \mu(Y)=E(Y)[/tex]

[tex]\rm \mu(Y)=E(10x - 1)[/tex]

[tex]\rm \mu(Y) = 10E(x) - 1[/tex]

According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.

[tex]\rm \mu(Y) = 10(2) - 1[/tex]

[tex]\rm \mu(Y) = 19[/tex]

Now, the standard deviation of Y can be calculated as:

[tex]\rm \sigma_Y=SD(Y)[/tex]

[tex]\rm \sigma_Y=SD(10x-1)[/tex]

[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]

The value of SD for a constant is zero.

[tex]\rm \sigma_Y=10(1)-0[/tex]

[tex]\rm \sigma_Y = 10[/tex]

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Answer:

180-118= 62

Answer is angle E= 62

Step-by-step explanation:

Vertical opposite angle of 118 is 118

So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.

Hope this helps!!!

Answer:

E is 62

Step-by-step explanation:

First find any angle relationships with the angle 118.

You can see that 118 can go next to E (corresponding angles).

That is a straight line, so in total it will 180 degrees.

180-118 would be E.

180-118 is 62.

hope this helps! :)

Answer:

45%

Step-by-step explanation:

200g milk chocolate

200g dark chocolate

= 400g of chocolate

x = the %

x/100 = 180/400

18000 = 400x

x = 45

45%

Answer:

6lbs for $50.00 is cheaper

Step-by-step explanation:

Answer$50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

Answer:

7/8 is rational ;)(

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

7/8 is a ratio of whole numbers, which makes it rational.

Rational numbers are numbers that can be expressed as a fraction

Irrational numbers are numbers that cannot be expressed as a fraction

Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi

Step-by-step explanation: Edge 2021

Answer:

450 miles

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

45 miles for 1 gallon

Every gallon is 45 miles

This is the equation: 45 x G (gallon)

45 x 10 Gallons is 450

30=−5(m+6)+m

Step 1: Simplify both sides of the equation.

30=−5(m+6)+m

30=(−5)(m)+(−5)(6)+m(Distribute)

30=−5m+−30+m

30=(−5m+m)+(−30)(Combine Like Terms)

30=−4m+−30

30=−4m−30

Step 2: Flip the equation.

−4m−30=30

Step 3: Add 30 to both sides.

−4m−30+30=30+30

−4m=60

Step 4: Divide both sides by -4.

−4m

−4

=

60

−4

m=−15

Answer:

m=−15

Answer:

Step-by-step explanation:

13.25x + 31.50x≤155

44.75x≤150

Answer:

D

Hopes this helps

Answer: The answer is ( A )

Step-by-step explanation:

Because I think that they add by 1.50 w

Answer:

B is the answer

Step-by-step explanation:

0.40 is the correct answer

Answer:

Step-by-step explanation:

is C  -1/2

y=mx+b

2y=6-x

y=-x/2 +3

m=-1/2

Answer:

5

Step-by-step explanation:

4^2+3^2

=16+9=25

[tex]\sqrt{25}[/tex]=5

Answer:

16/24

Step-by-step explanation:

4/6 = 16/24

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2

Parallelogram and Rectangle has rotational symmetry of 180 degree.

Trapezoid has rotational symmetry = 360 degree.

Isosceles Trapezoid has rotational symmetry = 360 degree.

Parallelogram has rotational symmetry = 180 degree.

Rhombus has rotational symmetry = 90 degree.

Rectangle has rotational symmetry = 180 degree.

Square has rotational symmetry = 90 degree.

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Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

Answer:

r=12

Step-by-step explanation:

r=12

circumference of arc = theta/360*2πr=3π given

Pi cancels

theta/360*2*12=3

theta*6/90=3

theta*3/45=3

3 cancels,45 to the other side

theta=45 degrees

This should do it :)

Answer:

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

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#SPJ2

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

Answer:

The reflection of point E across the y-axis is J(-2, 0).

Step-by-step explanation:

!!edmentum answer!!

Answer:

30

Step-by-step explanation:

I could be wrong

The usual speed of Eric's mother is 4 miles per hour .

Eric´s mother drives to work in 20 min when driving at her usual speed.

Let the usual speed of Eric's mother be "u"  miles per hour (mph)

When the traffic is bad she drives 10 miles per hour slower.

The speed of Eric's mother when the traffic is bad = u-10 mph

The time taken by Eric's mother when the traffic is bad = 30 min

[tex]\rm Displacement = \dfrac{Velocity }{Time }[/tex]

The considering the displacement  in both  the cases is same hence we can

say that

[tex]\rm \dfrac{u}{20/60} = \dfrac{-(u-10)}{30/60} \\\rm 3u = -2u +20 \\5u = 20 \\u = 4[/tex]

So the usual speed of Eric's mother is 4 miles per hour .

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