Find the measure of an exterior angle of the regular polygon shown below.



a.
1080°

b.
1440°

c.
45°

d.
90°

Answer: 0.78 and 39/50

What we know:

How to solve:

The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.

Decimal

Set up equation                                                 D = p / 100

Substitute                                                           D = 78% / 100

Simplify                                                               D = 0.78%

Remove % sign                                                  D = 0.78

Fraction

Set up equation                                                 F = p / 100

Substitute                                                           F = 78% / 100

Remove % sign                                                  F = 78 / 100

Simplify if needed                                            F = /2    /2

                                                                           F = 39 / 50

Solution: 0.78 and 39/50

Check:

Multiply the decimal by 100 to check the decimal

0.78 x 100 = 78; 78%

Divide the fraction to check the fraction

39/50 = 0.78; see above

Answer:

C: (x, y) ---> (-y, x)

Step-by-step explanation:

The mapping rule is for rotation of 270 degrees clockwise is as follows.

Keep your promise ;D

Answer: 3/40

What we know:

How to solve:

We need to find the fraction of cards that have SDP players from the total collection. This can be done by converting it into a decimal and then matching it with one of the options.

Decimal of California Cards

Set up equation                                                 x = 1/5

Solve                                                                   x = 0.2

Decimal of SDP Cards

Set up equation                                                 y = (x/100)*38

Substitute                                                           y = (0.2/100)*38

Simplify                                                               y = 0.002*38

Solve                                                                   y = 0.076

Matching

A

Set up equation                                                 a = y

Substitute                                                           23/40 = 0.076

Simplify                                                               0.575 = 0.076

B

Set up equation                                                 a = y

Substitute                                                           4/13 = 0.076

Simplify                                                               0.308 = 0.076

C

Set up equation                                                 a = y

Substitute                                                           3/40 = 0.076

Simplify                                                               0.075 = 0.076

Answer:

The percent decrease is 13.5%

Step-by-step explanation:

120,000 - 103,800 = 16,200

16,200/120,000 = 0.135

0.135 x 100 = 13.5

Answer 13.5%

Have a wonderful day!

Answer:

Step-by-step explanation:

-1/5 (10t - 15) and -2t + 3

-2t + 3 and -2t + 3 Yes / No

0.3x (4 - y) and -1.2x - 0.3y

1.2x - 0.3xy and -1.2x - 0.3y Yes / No

2j + 8k - 4k and 8 (1/4j + 1/2k)

2j + 8k - 4k and 2j + 4k

2j + 4k and 2j + 4k Yes / No

x - 20 - x and 5 (4 - 1/5x)

x - 20 - x and 20 - 1x

-20 and 20 - x Yes / No

Hope this helps!

Answer:

6 4/5

Step-by-step explanation:

Check the picture below, there are two cases, case of option B and case of option C for Lorelei, we are looking at only the two smaller sides.

on option B

we have sides of 12 and 13, now, if we move the sides closer and closer to be one on top of the other, what is left is just one unit of slack, because the side of 12 laying right on top of the side of 13, is short by 1 unit to be 13, however if we do that, we no longer have a triangle, just two pancaked lines, so whatever the 3rd side may be, it must be greater than 1 unit.

now, if we instead move the sides away from each other, to the extent that sides 12 and 13 make a flat line, well, a flat line will be as long as 12 + 13 = 25, however, we can't do that becuause, again if we do so, all we have is a flat-line, and no longer a triangle, so, whatever the 3rd side may be, it must be less than 25 units.

well, on option B, we have a 3rd side given as 25, but we can't use that, because we'd be losing our triangle, we'd only be left with a flat line, so no dice on B.

on option C

as you see in the picture, same thing, pancake one side on top of the other and there's no slack, so the 3rd side must be greater than 0.

now move the sides away from each other and their sum gives 10 + 10 = 20, so the 3rd side must be less than 20.

we're given a 3rd side of 24, how the dickens are we going to get a side to be 24 when both sides of 10 extended only give 20? not going to happen, so no dice on C.

needeless to say the sides of 12, and 14 provide for a 3rd side of greater than 2 and less than 26, well, 24 is indeed within that range.

Answer:

396 mm

Step-by-step explanation:

Lets start off by writing what we know:

We know that a single line mark means 11 mm

We know that a double line mark means 15 mm

We know that a triple line mark means 9 mm

We are going to cut the shape into three rectangular sections (shown in the image)

We are going to solve for the area for each of those rectangles

15 * 11 = 165

6 * 11 = 66

15 * 11 = 165

165+165+66 = 396 mm

Answer:

22 I hope this helps

Step-by-step explanation:

have a great Friday

Answer:

22.

Step-by-step explanation:

1000/1000=1

1+20+1=22

Answer:

I think the answer is 2hrs and 38 mins

Answer:

60 m²

Step-by-step explanation

first find how you get from 4m to 40 m². what ever you do to the 4m you do to the 6m

Answer:

2

Step-by-step explanation:

Answer:

B <KAY

Step-by-step explanation:

These angles are Congruent

Answer:

congruent

Step-by-step explanation:

that means, if placed with the same orientation on top of each other, they would completely cover each other up both ways.

Answer:

B = 7

Step-by-step explanation:

All the answers you listed are wrong. It should be D but the reasoning is wrong. When you distribute the -4 to the expression in the parenthesis you end up with -23 + 4b as a negative times a negative equals a positive. Therefore that's where the error initially lies.

Answer:

maybe t=2h

Step-by-step explanation:

it goes by 2h: 2h,4h,6h,8h

Answer:

1.07142857143

Step-by-step explanation:

Answer:

3x+1 is y2

Step-by-step explanation:

Answer:

The median is 16.5 and the lower quartile is 15.5.

Step-by-step explanation:

Answer:

Hello! There are a variety of answers, see below :)

Step-by-step explanation:

We need five data items. The middle one needs to be 54, and the average needs to be 57. There also needs to be more than one 54 because that is also the mode.

A B 54 C D

Okay, so first multiply 57 by 5, because we need to find the total sum using the average. 57 * 5 = 285

That means that our five numbers need to equal 285 as well so they can have the same average.

53, 54, 54, 61, 63 is one way

50, 52, 54, 54, 75 another ect

We just take the average times the number total, subtract the numbers we already know (54 and 54) and then find three other numbers that also equal 285.

Answer:

570.2 surface area

Step-by-step explanation:

Formula: 2πrh+2πr2

- It is asking for the surface area of the cylinder

1045.36 (volume)

Answer:

aaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

9.57%

Step-by-step explanation:

7-6.33/7 = 0.00957

0.00957×100% = 9.57%

The answer is 6 hope this helps.^^

Answer: x = 54

Step-by-step explanation:

Supplementary: two angles or arcs whose sum is 180 degrees.

One angle: x + 15 degrees

Second angle: 2x + 3 degrees.

180 degrees = 3x + 18

180 minus 18 = 162

162 divided by 3 = 54

x = 54

Hey there!

=> x + 15 + 2x + 3 = 90°

=> x + 2x + 3 - 15 = 90°

=> 3x - 12 = 90°

=> 3x = 90° + 12

=> 3x = 102°

=> [tex] \frac{3x}{3} = \frac{102}{3} [/tex]

=> [tex]x = \frac{102}{3} [/tex]

=> x = 34

Then,

=> x + 15 , 2x + 3 {add the value of x}

=> (34) + 15, 2(34) + 3

=> 34 + 15, 68 + 3

=> 49,71

∴ the angles are 49 and 71

Answer:

It would be an improper fraction a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

An improper fraction is when a fraction in which the numerator is greater than the denominator.

Answer:

[tex] - \frac{1}{2} = - \frac{5}{6} + \frac{1}{4} a \\ \\ \frac{1}{4} a = - \frac{1}{2} + \frac{5}{6} \\ \\ \frac{1}{4} a = - \frac{3}{6} + \frac{5}{6} \\ \\ \frac{1}{4} a = \frac{2}{6} \\ \\ \frac{1}{4} a = \frac{1}{3} \\ \\ a = \frac{4}{3} = 1.33[/tex]

When answer choices are in different measurements

Answer:

Step-by-step explanation:

To solve this, you would have to split this composite shape into two rectangles RECT. ABDC AND RECT. GFED

Then you fin the area of theses# individual rectangles then sum it.

area of rect. ABDC

= 3*1

=3[tex]cm^{2}[/tex]

area of rect. GFED

= 2*1

= 2[tex]cm^{2}[/tex]

therefore, total area

= 3+2

=5[tex]cm^{2}[/tex]