Mrs. Adesso wants to take her class on a trip to either the science center or the natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?

Answer:

Step-by-step explanation:

AC is perpendicular to BD.

Further explanation

   We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.

   The length of the base of the triangle is the same, i.e., .

   In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

   ∠ACB = ∠ACD

- - - - - - - - - -

The following is not other or additional information along with the reasons.

   ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and

   ∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.

   no, because already marked.

- - - - - - - - - -

Notes

   The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.

   The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  

   The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.

   The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  

Learn more

   Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  

   Which shows two triangles that are congruent by AAS brainly.com/question/3767125

About vertical and supplementary angles brainly.com/question/13096411

a function set does not contain any X-repeats, or namely that the x-coordinate on every pair is different, let's take a peek at these sets, Check the picture below.

Answer:

36 is the answer !!

Step-by-step explanation:

9(4)-(4(2) + 2(5))

36-8+10

26+10

36

Answer:

f(x)_x^3x+2+1

f(x)=3x+3

g(x)_4x

Answer: T= 3/2

Step-by-step explanation:  t(t+4)-1=t(t+2)+2 simplify into t2+4t−1=t2+2t+2 now subtract t^2=t2+4t−1−t2=t2+2t+2−t2 subtract 2t(both sides)  4t−1=2t+2 2t−1=2=2t−1=2 now add 1 to both sides = 2t−1+1=2+1 than 2t=3 now divide by 2(both sides)= T= 3/2

Answer: 6 cups

Step-by-step explanation:

multiple the 1 1/2 by 4

With the actual ball the hunter had as 620 balls and the ball the hunter thought he had as 400 balls, The Hunter’s percentage error is mathematically given as

e=35.483%

Question Parameters:

Hunter thought he had 400 baseball cards, but he actually had 620.

Generally, the equation for the  error is mathematically given as

[tex]e=(\frac{false cards}{original card}*100)[/tex]

Therefore, if

False cards=620-200

Hence

[tex]e=(\frac{false cards}{original card}*100)\\\\e=(\frac{220}{620}*100)[/tex]

e=35.483%

In conclusion, the percent error is

e=35.483%

Read more about, Arithmetic

https://brainly.com/question/22568180

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From x- intercepts  it was possible to find the formula of the parabola: x²-1.69=0.

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

From the sum and product of the roots in a quadratic function it is possible to write your respective equation. Since:

This question gives the root since it informs the x- intercepts (1.3,0) and (-1.3,0). Then, the roots are: x1=1.3 and x2= -1.3.

Hence, you should write the equation in factors from the known roots. See: (x-1.3) * (x+1.3)=0. Multiplying the factor, you will have:

x²+1.3x-1.3x-1.69=0

x²-1.69=0

You can check the previous result from :

the sum of the roots (S) will be 1.3-1.3=0.

the product of the roots (P) will be 1.3*(-1.3)=-1.69.

So, the formula of  the parabola is x²-1.69=0. The attached figure shows the x-intercepts and y-intercept  informed.

Read more about a quadratic function here:

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Answer:

4

Step-by-step explanation:

[tex] = - 12 \times ( \frac{ - 1}{3} ) \\ = \frac{12}{3} \\ = 4[/tex]

- 12 × -1 is +12 because - × - = +

Answer:

Commutative property of multiplication

Step-by-step explanation:

Answer:

Jan is using commutative property.

Step-by-step explanation:

Commutative property is when you switch values and they don't make a change in the outcome.

Just remember, this only applies to addition and multiplication but does not apply to division or subtraction!!!

Examples:

2+4=6

4+2=6

9x3=27

3x9=27

Answer:

See below.

Step-by-step explanation:

Twice means multiplied by 2.

Product is the solution to a multiplication equation.

2p/5q

-hope it helps

The minimum point of the function y=f(x)+3 is at (-1 , 0 ) .

The biggest and lowest value of a function, either inside a specific range (the local or relative extrema) or on the entire domain, are generally referred to as extrema (plural of extremum) in mathematical analysis (the global or absolute extrema). One of the first mathematicians to suggest the general method of adequacy for determining the maxima and minima of functions was Pierre de Fermat.

The maximum and minimum of a set are the greatest and least items in the set, as described by set theory. There are no minimum or maximum values in unbounded infinite sets, such as the set of real numbers.

Say that (x,y) = where y = f(x) minimum occurs at (-1,-3). As a result, for all other x inside its domain of definition, y= f(x) >=-3

y = f(x) + 3 simply elevates the graph of y by 3 and increases the value of y for any x. Its minimum x-value remains at -1, and its value for y is f(3) + 3 = -3 + 3 = 0. as a result, new minimum =(-1 , 0 ) .

To learn more about maximum and minimum values of a function visit:

https://brainly.com/question/13581879

Disclaimer: The complete question is :

This is a sketch of the curve with equation y=f(X). The curve has a minimum point at M(-1,-3).Find the minimum value for the function y=f(x)+3 .

#SPJ1

Answer:

No, these ratios aren't proportional

Step-by-step explanation:

4:16 base ratio is 1:4

12:16 base ratio is 1:1.333333333

For a relationship to be proportional, the base ratios must be equal.

Answer: 22.5

Explanation: from P the radii of length r are perpendicular to xz, xy, and yz and all the same.

if draw it with your compass your see a certain symmetry

call the tangent point on xz Q and the one on xy S

triangle XQP is congruent to XSP and is a right triangle

the two angles at x are 22.5 degrees

so PQ = PS = 4 tan 22.5

Answer:

https://brainly.com/question/7699717

Step-by-step explanation:

=======================================================

Work Shown:

area = 0.5*side1*side2*sin(angle)

area = 0.5*13*7.5*sin(94)

area = 48.6312474501664

area = 48.6 square inches

Notes:

Answer: 48.6

Step-by-step explanation:

i took the test

Answer:

The answer is A.

Step-by-step explanation:

Took it on Edge (:

The HCF IS 18

HOPE THIS HELPS U

Answer:

Yes it is.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 7:24pm

AS 3:30+(195/50)=7.24

(You have to keep in mind that there are 60 minutes in a hour not a hundred..)

Step-by-step explanation:

Find the LCM of both sides and carry out your usual fraction operations, thereafter you solve for x by collecting like terms and then divide both sides by the coefficient of x,, then u get your value for x.

Answer:

  16x -7y +b +81.2a +z +6

Step-by-step explanation:

Coefficients of terms with the same variable are added when like terms are combined.

12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2

=(12 +4)x +(-7)y +(45 -44)b +(78 +1 +1.1 +1.1)a +(1)z +(2+2+2)

= 16x -7y +b +81.2a +z +6

Answer:

h(3) = 1

Step-by-step explanation:

See attached image.

Answer:

Step-by-step explanation:

The scenario describes charges as being dependent on the number of persons. That means the independent variable is the number of persons, and the dependent variable is the total charge.

(When we say "A depends on B", that automatically defines A as being the dependent variable, and B the independent variable.)

__

Additional comment

Perhaps you also want to know the relationship between the charges c and the number of persons p. That will be ...

  c = 7.80p +19.00

You know the rate per person from the fact that adding 10 people to the party raises the cost by $78. Then the 10-person charge includes a fixed fee of $97 -78 = $19.

Answer:

lateral area and area without one side: 20.8

Answer:

ABABCC

Step-by-step explanation:

DEFINITION: A rhyme scheme the ordered pattern of rhymes at the ends of the lines of a poem or verse (according to the Oxford Dictionary)

Cloud is the first rhyme in the sentence, in which we call A.

Hills doesn't rhyme with cloud, so it is B.

Crowd rhymes with cloud, so we call it A.

Daffodils rhyme with hills, so we make it B.

Trees doesn't rhyme with anything else, so we call it C.

Breeze rhymes with trees, so we make it C.

Answer: Ok the awnser is AABBCC and also its only five points but i will take it! happy christmas!!!!

Answer:

inflation?

Step-by-step explanation:

nothing here

Answer:

that would be an example of inflation.

I noticed your question was not complete, so I hope this helps you as much as possible.