Mathematics Middle School

## Answers

**Answer 1**

The measure of the angle that turns through 1/5 of a circle would be: 1/5 × 360° = 72°.

What is the Measure of a Circle?

A full circle measures 360 degrees.

Equation to find the measure of an angle that turns 1/5 of a circle would be:

1/5 of 360°

= 1/5 × 360°

Measure of the angle = 360/5 = 72°

Therefore, the measure of the angle that turns through 1/5 of a circle would be: 1/5 × 360° = 72°.

Learn more about measure of circle on:

brainly.com/question/25305793

**Answer 2**

I am just guessing but...

360*1/5

360/5

72

## Related Questions

Nadine and Walt are delivering the local newspaper throughout the town. Nadine is paid $15 per week plus $9.50 per hour, and Walt is paid $12 per week plus $10.25 per hour. Write expressions that represent how much Nadine and Walt are paid each week using h as the number of hours worked.

### Answers

9.50h+15 for Nadine

10.25h+12 for Walt

It take Mara 50 minutes to walk to her friend's house 1 2/3 miles away. What is her walking pace in mph

### Answers

The answer is 30 miles per hour since you have to divide 50 by 1 and 2/3

What is the unit rate of 286 miles in 5 in a half hours?

### Answers

286/5.5=52 miles per hour

The answer is: " 52 mi / h "; or, write as: " 52 m.p.h. " .

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Explanation:

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Given:

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"286 mi per 5.5 h " ; or, "(286 mi / 5.5 h)" ;

→ Convert to "miles per (unit hour, or single hour)" .

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So; 286 mi / 5.5 h = (286/5.5) mi / h = "52 mi / h"; or, write as: "52 m.p.h." .

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if Joshua's birthday is on the 5 and Marys is the 31 how many days are in between i want to knownif im right 21?is in between

### Answers

The answer to your question is 26 days

You are incorrect. There are 26 days between the 5th and the 31st

Wendy's older brother is buying a car.He can make 24 payments of $95 or 30 payments of $80 each. Which costs less?How much less.

### Answers

24 payments of $95 would cost $120 less.

24*95=2,280

30*80=2,400

First 94x24 then 30x94 then subtract both answers

The amount of snow on the ground increased by 4 inches between 4 p.m and 6 p.m. If there was 6 inches of snow on the ground at 4 p.m how many inches were on t he ground at 6 p.m? (Show work!!)

### Answers

10 inches because at 4 pm it was 6 inches but since it says it increases 4 inches during the times 4 PM through 6 PM it should've gone up another 4 inches. 6 plus 4 equals 10. ?????????

harvey wants to buy a gift for his father that costs $35.92 and a gift for his sister that costs $52.08 he saved $16.28. how much more does he need to save in order to buy the hifts

### Answers

The answer of this question is 71.72 dollars

The answer is 71.72 question

Mrs parker bought three pizzas for her class 27/8 of the pizza was eaten how many whole pizzas where. left and how many pizzas where left over

### Answers

27/8 = 3 3/8

3 whole pizzas were left

5/8 is left over because 8/8 - 3/8 = 5/8

Solve the system of equations by substitution

Y=5x-11

2x+3y=18

### Answers

2x+3(5x-11)=18

2x+15x-33=18

17x=51

x=3

Trinh has $14.44 in her school lunch account. She spends $7.75 on lunches and deposits $6.50. What is her new balance?A) $ 28.69 B) $13.81 C) $13.19 D) $0.19

### Answers

14.44-7.75=6.69

6.69+6.50=13.19

your answer is C) $13.19

Has 14.44- spends 7.75

14.44 - 7.75 = 6.69

What she has left + newly depositing

6.69 + 6.50 = 13.19

Your answer will be

C) 13.19

mrs parker bought 3 pizzas for her class17/8 of the pizza was eaten how many whole pizzas slices where left over

### Answers

If each pizza had 8 slices there would be seven slices left

How do you solve 5x +x

### Answers

If you are just simplifying it it would be 6x because it's 5x plus one more x but if you are trying to find x then I have no idea

5x = x+x+x+x+x

So just add another x to make it

6x

x+x+x+x+x+x

How many quarter miles are in half a mile?

### Answers

2 quarter miles, 4 in 1 mile, so 4 divided by 2 to get the answer

A coin-operated machine sells plastic rings. It contains 6 yellow rings, 11 blue rings, 15 green rings, and 3 black rings. Sarah puts a coin into the machine. Find the theoretical probability she gets a black ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth. A. 11.667 B. 0.171 C. 5.833 D. 0.086

### Answers

Answer: D. 0.086

Step-by-step explanation:

Given : The number of black rings = 3

The total number of rings =

Now, Sarah puts a coin into the machine, then the theoretical probability she gets a black ring will be :-

Hence, the theoretical probability she gets a black ring = 0.086

3/35 chance of it happening so rounded would be D. 0.086 as the answer :)

Solve the system of equations by substitution

Y=3x-7

2x+5y=16

### Answers

X equals 3 do you want an explanation

Substitute 3x - 7 for y in 2x + 5y = 16, then solve for x:

2x + 5(3x - 7) = 16

Distribute the 5:

2x + 15x - 35 = 16

Add like terms:

17x - 35 = 16

Add 35 on both sides:

17x = 51

Divide 17 on both sides:

x = 3

Now that we found that x = 3, we can substitute that into y = 3x - 7 to solve for y

y = 3(3) - 7

y = 9 - 7

y = 2

So y = 2, that means the solution to the system of equations is (3, 2).

Hope this helps! :)

Can a triangle have two right angles?

### Answers

No, a triangle cannot have 2 right angles. The sum of all angles on a triangle must add up to 180. Triangles have 3 sides, so if a triangle had 2 right angles, which add up already to 180, the third side could not have a measurement. Hope this helps!

NO. It can not because it would have to be a square to connect again.

Nicole deposits $700 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 6 years?

### Answers

$210 for 6 years but only $35 in one year

Joel has 24 sport trophies. Of the trophies,1/8 are soccer trophies.How many soccer trophies does Joel have? A:2

B:3

C:4

D:6

### Answers

B 3 trophies

24 divided by 8 is 3

B 3 trophies

Because 24 divided by 3

What value of X satisfies the equation 4x+0.2=3

### Answers

4x+0.2=3 First you subtract 0.2 from both sides and you get 2.8. After you divide 4 to both sides and you get 0.7

Which BEST describes the construction of a triangle if given the segment lengths of 3 cm, 5 cm, and 3 cm? A)Unique triangle

B)More than one triangle

C)Triangle not possible

D)Cannot be determined

### Answers

A) unique triangle is the best description

Answer:

A)Unique triangle

Step-by-step explanation:

## FAQs

### What is an angle that turns through 1 360 of a circle? ›

An angle that turns through 1/360 of a circle is called a “**one-degree angle**,” and can be used to measure angles; An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

**How many degrees are in an angle that turns through of a circle? ›**

Angle measure is based on a circle where a full turn around the circle is **360 degrees**. Similarly, a half turn is 180 degrees, a fourth [quarter] turn is 90 degrees, and so on.

**What is the measure of ∠ 2? ›**

m∠2 = 68 , because vertical angles add up to 180 .

**When a circle is divided into equal parts an angle turns through? ›**

4. Angles are measured in units called degrees. The symbol for degrees is °. If a circle is divided into 360 equal parts, then an angle that turns through **1 part of the 360 measures 1°**.

**What angle is a 360 degree rotation? ›**

360 Degree Angle

The 360∘ angle is known as a "**full angle**" because when measuring this angle it makes a full rotation, which means to move around all points or degrees of a circle. A "full angle" goes all the way around the circle, ending up where it began. All circles are 360 degrees around.

**What is 360 rotation angle? ›**

A 360-degree angle is called **a complete angle, a full angle, or a full turn**. It forms a circle around a point. A perfect example of a 360-degree angle is two hands of a clock at 12 o'clock.

**What is the measure in degrees for 1 360? ›**

A degree is a measurement of angle. One full rotation around the circle is equal to 360 degrees, so **one degree** is 1/360 of a circle.

**What fraction of a full turn is 1? ›**

If we think of one full rotation, it will be 360 degrees. If one full turn is 360 degrees, **one-third** of that will be the turn that Jacob made.

**Why 360 degrees in a circle? ›**

The degree is an arbitrary unit; basically any division of a circle would work as a system of measurement. **The degree has the advantage that 360 divides evenly by 2, 3, 4, 5, 6, 8, 9 & 10 making it easy to mentally calculate an angle**; indeed this is the major advantage of all old imperial units.

**What is the measure of ∠ 1 and 2? ›**

We have to find the measure of angle 1 and angle 2. By using the geometric property, The measure of the angle formed by 2 chords that intersect inside the circle is half the sum of the chord's intercepted arcs. Therefore, **m∠1 = 50° and m∠2 = 130°**.

### What is the measure of ∠ 5? ›

⇒∠5=(180-79)°=**101°**. Hence, the measurement of angle 5 is 101°.

**Are the angles 1 and 5 corresponding? ›**

Angles 1 and 5 constitutes one of the pairs. **Corresponding angles are congruent**. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

**What do you call the line that divides an angle into two equal angles *? ›**

The ray dividing an angle into two equal angles is called an **angle bisector**.

**What do you call a line that divides one included angle into two equal angles it is drawn from vertex to the opposite side of the triangle? ›**

**Angle bisector**. The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles.

**What is a line that divides an angle into two equal parts called of the angle? ›**

(a) bisector. **A bisector** of an angle divides the angle into two equal parts. Hence, (a) bisector is the correct option.

**What is 1 half of a rotation? ›**

You may recall from geometry that a full rotation is 360 degrees, usually written as 360°. Half a rotation is then **180°** and a quarter rotation is 90°.

**What is the angle rotation formula? ›**

The angle of rotation between the two points or vertices is the number of central angles times the measure of a single central angle: **angle of rotation =m×α = m × α** .

**What is 180 degree angle called? ›**

Angles that are 180 degrees (θ = 180°) are known as **straight angles**. •

**What is 360 rotation examples? ›**

A full rotation is 360 degrees

It means turning around until you point in the same direction again. Other ways of saying it: "Doing a 360" means spinning around completely once (spinning around twice is a "720"). **"I gave the wheel one complete turn looking for holes"**

**How do you calculate 360 degrees? ›**

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. **First convert the percent to decimal.** **Now if you multiply 360 by 0.35**, you get the degree measure that corresponds to the percentage, which is 126.

### What is 1 360 degree of a complete rotation clockwise? ›

Therefore, a rotation of 1360 of a complete revolution is equivalent to 1∘ (1 degree).

**How many degrees is angle 1? ›**

A measure of **one degree ( 1 ° ) is equivalent to a rotation of 1 360 of a complete revolution**. To measure angles, it is convenient to mark degrees on the circumference of a circle . Thus, a complete revolution is 360 ° , half a revolution is 180 ° , a quarter of a revolution is 90 ° and so forth.

**How do you solve 1 over a fraction? ›**

Explanation: To find the reciprocal, **take 1 and divide by the entire quantity of the fraction**. The reciprocal is simply swapping the placement of the numerator and the denominator.

**What is the meaning of 1 turn? ›**

When saying one turn, it means to make a 360° movement with a wire around the core. 4 turns means 4x 360° movements.

**How many right angles is 1 whole turn? ›**

Thus, 360∘90∘=**4** right angles make one full rotation as shown in the above figure.

**Is a circle 180 or 360? ›**

A complete trip around the edge of a circle is **360 degrees**, which means that, if you were to complete a rotation around the central axis of your body, you would end up facing the same direction as when you started.

**Why is a circle 90 degrees? ›**

The more familiar unit of measurement is that of degrees. **A circle is divided into 360 equal degrees, so that a right angle is 90°**.

**How long is 1 measure? ›**

In this piece, each measure contains **3 beats** : it can be 3 quarter notes, or 6 eighth notes, or any combination leading to 3 beats.

**What does a measure of 1 mean? ›**

A unit is **any measurement that there is 1 of**. So 1 meter is a unit.

**How do you measure 1 to 2 parts? ›**

1 part to 2 parts means that **for every 1 part of an ingredient added, 2 parts of another are added**. Making oatmeal is typically a 1 part to 2 parts recipe. 1 part oatmeal, 2 parts milk, stir, and microwave. That means for every 1 measure of oatmeal, 2 identical measures of milk are added.

### What does 5 to the of 4 equal? ›

Solution: 5 to the Power of 4 is equal to **625**

The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value. Therefore, 5 to the power of 4 is 625.

**What is 1 5 in complementary angles? ›**

Answer: **15º and 75º** are the two complementary angles that have their measures in the ratio of 1 to 5.

**When an angle is 1 by 5 of its complement? ›**

Let the angle be x complement of x is (90° − x) One fifth of the complement angle is (90° − x)/5 Given x = (90° − x)/5 ⇒ 5x = 90° − x ⇒ 6x = 90° ⇒ x = 90°/ 6 = 15° Hence (90° − x) = (90° − 15°) = 75° Thus the angles are 15° and its complement is **75°**.

**What is the relation between 1 and 5? ›**

Ones and Fives **often enjoy each other's company and intellectual stimulation, loving to debate and admiring the intelligence and expertise exhibited by the other**. Unexpectedly, they tickle each other's funny bone—this pair loves to laugh together at life's absurdities.

**What are two angles across from one another where two lines intersect called? ›**

Explanations (1)

When two lines intersect, they form four angles. The two angles that are directly across the intersection point from each other are called **vertical angles**.

**Which of the following lines that cut split an angle side into equal parts? ›**

A perpendicular bisector can be defined as a line segment which bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.

**What is it called when two angles form a line? ›**

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. Adjacent angles are formed when two angles have a common vertex and a common arm but do not overlap. The linear pair of angles are always supplementary as they form on a straight line.

**Which type of triangle will always have a perpendicular bisector that is also an angle bisector? ›**

**Isosceles Triangle** Theorem Converse: The perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.

**What are the two angles formed when its two sides coincide or are in one line? ›**

The two angles are said to be **adjacent angles** when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.

**When a line bisects a segment then the segment is divided into two congruent parts? ›**

The midpoint of a segment is a point that divides the segment into two congruent segments. **A point (or segment, ray or line) that divides a segment into two congruent segments bisects the segment.**

### Which of the following term refers as a line that divides something into equal parts? ›

In Geometry, a “**Bisector**” is a line that divides the line into two different or equal parts. It is applied to the line segments and angles.

**Which of the following terms refers as a line that divides into equal parts? ›**

The line that divides something into two equal parts. You can bisect line segments, angles, and more.

**What do you call the angle in matching corners when two lines cross by another line transversal? ›**

**Corresponding angles** are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines and the transversal.

**What are there 360 degrees in a circle? ›**

Angular measurement in degrees or radians is given in reference to a circle, 360 degrees or 2 Pi radians being the measure **one full revolution**.

**Which refers to a one 1 full turn 360 degrees? ›**

**One full revolution** is equal to 360 degrees. Hence, the term “revolution” refers to a complete rotation or full turn of an item around an axis. Revolutions are often measured in degrees, and one full revolution is equivalent to 360 degrees.

**What is a full rotation of 1 1? ›**

Rotations | Radians | Degrees |
---|---|---|

¼ | π/2 | 90° |

½ | π | 180° |

1 | 2π | 360° |

1½ | 3π | 540° |

**What is the formula of 1 rotation? ›**

The angle of rotation Δ θ **Δ θ is the arc length divided by the radius of curvature**. 1 revolution = 2 π 2 π rad = 360°.

**What is the angle of one complete rotation? ›**

Thus, 360∘90∘=**4 right angles** make one full rotation as shown in the above figure.

**How much is 360 degrees in a circle? ›**

There are 360 degrees in **one Full Rotation** (one complete circle around). Angles can also be measured in Radians.

**What does 360 degrees mean? ›**

**A complete trip around the edge of a circle** is 360 degrees, which means that, if you were to complete a rotation around the central axis of your body, you would end up facing the same direction as when you started.

### Why is 360 degrees a degree? ›

The Mesopotamians passed their base-60 numerical system to the ancient Egyptians, who used it to divide a circle into 360 degrees, Mary Blocksma writes in her book Reading the Numbers. The 360-degree circle worked out great: The Egyptians loved perfect triangles, and exactly six of them fit into a circle.

**How many 1 degree turns are in a full circle? ›**

...

Degree (angle)

Degree | |
---|---|

1° in ... | ... is equal to ... |

turns | 1360 turn |

radians | π180 rad ≈ 0.01745.. rad |

milliradians | 50·π9 mrad ≈ 17.45.. mrad |

**What is a 1 right angle? ›**

A right angle is **an angle that is exactly equal to 90 degrees (or π/2) in measure**.

**Why is 360 degrees one rotation? ›**

**Given the Babylonian usage of 60 as their number base, they decided that each of the angles of an equilateral triangle would be 60 degrees**. And thus, when you multiply these 60 degrees by the 6 equilateral triangles that combine to create a sort of circle, you get 6 x 60 = 360 degrees.