What is the sum of the interior
angles of the polygon shown below?

Answer:

d. (9,-260°)

Step-by-step explanation:

100° = 100-360 = -260°

Answer:

12x-4 =80

12x =84

x. =7 ,,

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

Answer:

Hello! answer: 6

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10 so therefore a = 6 Hope that helps!

The value of x that makes ABCD a parallelogram is C. x = 70°.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

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[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]

[tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]

[tex] \large{ \tt{✺ \: TIPS} }: [/tex]

[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]

ツ Hope I helped! ♡

☼ Have a wonderful day / evening ! ☃

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Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

Answer:

I think the answer is C 0.83 based on the math I did

Step-by-step explanation:

The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.

We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:

q = 1 - 0.45 = 0.55

Out of 3 attempts, the probability of winning one prize is:

P(1) = (0.45)*(0.55)^2*p

where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.

Then the probability is:

P(1) = (0.45)*(0.55)^2*3 = 0.41

So the correct option is A.

If you want to learn more about probability, you can read:

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Answer:

17

Step-by-step explanation:

the following equation can be derived from the question

7 = 1/3(4 + n)

multiply both sides of the question by 3

21 = 4 + n

combine like terms

21 - 4 = n

n = 17

Answer:

5.89 feet.

Step-by-step explanation:

I just took the test :)

The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A Ferris wheel car moves from point C to point D on the circle.

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.

The diameter is 15 feet.

The arc length is determined by using the formula

L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r

L = ( 45 / 360) * 2 * 3.14 * r

r =  diameter / 2

r = 15/2 = 7.5 ft

L =  ( 45 / 360) * 2 * 3.14 * 7.5)

L = 5.8875 ft

L = 5.89 feet.

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Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

15^2+a^2=17^2

a^2=289-225

a^2=64

a=[tex]\sqrt{64}[/tex]

a=8

Answer:

(2) angle EZD = angle AZB (vertically opposite angles)

angle EZD = 90 degree

(3) angle DXC = 180 - 143 (Linear Pair axioms)

                   = 37 degree

Hope u understand

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Thank You

The measure <EZD = 90°

The measure <DXC = 37°

I hope you understand....

This is a Right answer....

Answer:

2,500

Step-by-step explanation:

Have a good day :)

Answer:

The answer is C (Resort B gets more snowfall than Resort A)

Step-by-step explanation:

According to the diagram, Resort A gets 375 inches of Snowfall, and Resort B gets 400. 375 < 400

Answer:

16

Step-by-step explanation:

Y=Mx+b where m is the slope and b is the y intercept

y=5x+16 where 5 is the slope and 16 is the y intercept.

3 trips-

2 * 2 = 4

3 * 2 = 6

5 * 2 = 10

Therefore, working together, the squirrels would only collect 20 acorns during two trips.

This means they would need to take three trips to collect 24 acorns with a remainder of 6 acorns.

2 * 3 = 6

3 * 3 = 9

3 * 5 = 15

30

30-24 = 6

Answer:

0

Step-by-step explanation:

horozontal lines are always 0

i hope im not wrong, sorry if i am but im 90% sure im right

Answer:

[ 3 , ∞ ) Set-Builder Notation:

{ x | x ≥ 3 }

Step-by-step explanation:

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

Answer:

B.

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

There are 2 ways to get the sum of 11

5,6 and 6,5

therefore 2/36=1/18

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

Answer:

here you go (could i maybe get the crown thing)

Step-by-step explanation:

ok so we have to take a look and see what kind of ratio this is going to be

so we look and it shows its SIN (o/h)

so what that means is that A= o/h

o=12 and h=22

so your answer would be A=12/22

Answer:

a.36

Step-by-step explanation:

tie is not sure of winning or lose

so,5 tied may consider as lose too

Answer:

9514 1404 393

Answer:

  Identity Property

Step-by-step explanation:

The identity property of addition is illustrated.

The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.

Answer:

Aprox: 1.61

Step-by-step explanation:

TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61

Answer:

28/45≈1.6071≈1.61

Step-by-step explanation:

Answer:

-2 2/5

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

an input gives one output