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vova2212 [387]
3 years ago
10

What is the angle of rotation counterclockwise about the spinner’s center that maps label j to label A?

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

C. 324°

Step-by-step explanation:

We are given that,

The spinner is rotated 180° counter-clockwise about the center and maps J to A.

Since there are 10 sections of the spinner.

So, the angle by each section = \frac{360}{10} = 36°

That is, the angle which maps J to A clockwise is 36°

<h3>Then, the angle which maps J to A counter-clockwise = 360° - 36° = 324°</h3>

Thus, option C is correct.

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Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0
3 years ago
In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?
Minchanka [31]

Answer: A

Step-by-step explanation:

The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.

6 0
4 years ago
Joaquin is constructing the perpendicular bisector of ab. What should be his first step?
natali 33 [55]

Answer:

D. Open the compass so that the distance from the two points of the compass is wider than half the length of \over{AB}.

Step-by-step explanation:

To construct a perpendicular for \over{AB}, we must first take a compass & take the distance of its arms wider than half the length of \over{AB}.

This is done in order to get two intersecting arcs in the top & bottom of \over{AB} so that a perpendicular bisector can be drawn through it.

After two intersecting lines are drawn below & above \over{AB}, draw a line joining these 2 points through their points of intersection. The point where it intersects \over{AB} is the middle-most point of \over{AB} & now a perpendicular bisector of \over{AB} is constructed.

\rule{150pt}{2pt}

3 0
2 years ago
Matthew's mother asked him to go to the store for her. To get to the store, he walked seven and a half city blocks. He caught th
Ratling [72]

Answer:

matthew travel 22 blocks i think

4 0
3 years ago
A student is finding the measures of the angles in a triangle that have the ratio 4:4:7. Find the mistake and correct it.
7nadin3 [17]

suppose 4:4:7 be 4x, 4x, 7x

or, 15x = 180°

or, X = 180/15

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therefore,

4x = 4x12= 48

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7x= 7x12= 84

so if you plus all of them you get 180

8 0
2 years ago
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