You are selling items at the football game to raise money for the school's athletic teams. You
sell pizza for $5 per slice and drinks for $3 per cup. Your sales totaled $1020. If you sold 84
slices of pizza, how many drinks did you sell?
Need help asapp

Answer:

1. PO = 21

2. LO = 27

3. PL = 34.2

Step-by-step explanation:

1. Since P is the incenter, that means it is equidistant to each side at a right angle. As a result PN, PO, and PM are equal to each other.

We know that PN is 21. Since PN and PO are equal to one another, PO = 21.

2. ML is equal to LO. ML is 27, so LO is also 27.

3. To get PL you will have to do the Pythagorean Theorem. Square the legs and set it equal to the hypotenuse squared.

* It should be: 27^2 + 21^2 = x^2.

Once you solve and round to the nearest tenth, you will get 34.2.

Answer:

r= -6

Step-by-step explanation:

Answer:

8 × 10^4

Step-by-step explanation:

Count the number of zeros after 8.

Answer:

80,000= 8*10^4

Step-by-step explanation:

I hope this helps!!!!!

Answer:

24

Step-by-step explanation:

Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

Answer:

-19.8

Step-by-step explanation:

hope this helps!

Answer:

/2 each time

Step-by-step explanation:

8,4,2

8/2=4

4/2=2

etc

Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

For more references on Quadrilateral, click;

https://brainly.com/question/13805601

#SPJ2

Answer:

1) 90+30+x=180

x= 60

2) 2x+90=180

x= 45

3) angle SPQ

90+55+ SPQ=180

SPQ= 35

Therefore as op=os=radii= isosceles triangle

angles OPS=OSP

SPQ +QPO=OSP

35 + x = 55

x=20

4)110+ 90+90 +x=360

x=70

5)90 +90 +45+x=360

x=135

hope it helped.

Answer:

Area = 1/2 (a + b )h

area = 1/2 ( 22.2 + 8.52 ) 9.86

area = 1/2 ( 30.72) 9.86

area = 1 x 30.72 x 9.86 ÷ 2

area = 151. 4496cm²

Answer:

The area of the trapezoid is 151.45cm sq

Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

Answer:

820.11

Step-by-step explanation:

-39.48

603.15+90.89=694.04

694.04+106.03=800.07

800.07+70.04+870.11

870.11-50.00=820.1

The values for x are:

question 15 ⇒x=8

question 16⇒x=19

question 17⇒x=14

Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.

There is a formula that relates number of sides polygon with its sum of interior angles. See below.

                                 S=(n-2)*180°

S=sum of interior angles of regular polygon.

n=number of sides of regular polygon.

First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,

                                 S=(n-2)*180°

                                 S=(4-2)*180°

                                 S=2*180°=360°

Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.

Next step, sum of interior angles for finding x

                                  [tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]

                                      x=8

First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,

                                 S=(n-2)*180°

                                 S=(6-2)*180°

                                 S=4*180°=720°

Next step, sum of interior angles for finding x.

                   [tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]

                   x=19

First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,

                                 S=(n-2)*180°

                                 S=(5-2)*180°

                                 S=3*180°=540°

The image of the question shows the sides are congruent, consequently, the angles are equal.

Next step, sum of interior angles for finding x.

                    [tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]

                     x=14

Read more about sum of interior angles here:

https://brainly.com/question/1592456

Answer:

n=3

Step-by-step explanation:

12n-3n=30-3

9n=27

n=27/9

n=3

Answer:

HL Postulate

Co vid-19 has led the world to go through a phenomenal transition .

E-learning is the future today.

Stay Home , Stay Safe and keep learning!!!

HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

Answer:

who is Rose

Step-by-step explanation:

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

Answer: 4/5 (B)

Step-by-step explanation:

The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class

Here the number of students who prefer soccer = 20

The total number of students in Arturo’s class = 20 + 16 = 36

According to the given situation, the required ratio is written as:

The required ratio = students who prefer soccer / total number of students

The required ratio = 20 / 36

Convert the above fraction into the simplest form

The required ratio = 5/9

Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

Learn more about the Ratios here:

brainly.com/question/1504221

#SPJ6

Answer:

49.

Step-by-step explanation: Because 2490 divided by 50 equal 49.8 if you needed.

Answer:

CHEATING ON CLASSWORK

Step-by-step explanation:

IS FORBIDDEN

Answer:

d. 0.08

Step-by-step explanation:

52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08

Half the cards (26) are red

Then there are 2 red kings out of the 26.

Probability of picking a red king out of the red cards is 2/26 = 1/13 = 0.076

Round to 0.08

The answer is D.

The third line shows the solutions to n > 0.

The correct option is third line.

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

To learn more about the number lines;

brainly.com/question/24644930

#SPJ5

Answer:

D. 1,300

Step-by-step explanation:

Answer:

Use BODMAS and multiply the signs - ve × -ve equals +ve multiplied by another - ve is a - ve sign then multiply the figures and then multiply the final figure to the final - ve sign.

Thank you. Hope I was of help.

Answer:

can u include a picture of the cylinder pls luv

Step-by-step explanation:

Answer:

63 dm (aproximadamente)

Explicación paso a paso:

Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.

Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:

h = sqrt (54 ^ 2 + 32,4 ^ 2)

h = sqrt (2916 + 1049,76)

h = sqrt (3965,76)

h = 62,974280

h = 63 dm (aproximadamente)

Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.

Answer: 3

Step-by-step explanation:

Answer:

the answer is B

Answer:

its b

Step-by-step explanation: