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kolbaska11 [484]
1 year ago
13

8) In square HOPE, mH = 5x. Find the value of x.A. 10B. 18C. 70D. 15

Mathematics
1 answer:
Sladkaya [172]1 year ago
8 0

ANSWER

B.\text{ }18

EXPLANATION

Let us make a sketch of the square:

Each angle in a square is equal to 90 degrees. This implies that:

5x=90

Solve for x by dividing both sides of the equation by 5:

\begin{gathered} \frac{5x}{5}=\frac{90}{5} \\  \\ x=18 \end{gathered}

The answer is option B.

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A carousel has 30 cars. Determine the angle of rotation that maps #6 to car #19.
ivolga24 [154]

Answer:  The answer is 260°.


Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.

Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.

So, angle of symmetry for the polygon is

\theta=\dfrac{360^\circ}{30}=20^\circ.

Number of sides from car 6 to car 19 = 19 - 6 = 13.

Therefore, the angle of rotation that maps car 6 to car 19 is given by

\alpha=13\times \theta=13\times 20^\circ=260^\circ.

Thus, the required angle of rotation is 260^\circ.


7 0
3 years ago
Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, a
morpeh [17]

35% are in display cases which means 65% are on the wall.


this means 195 cars is 65% of the collection.


to get total number of cars in the collection divide 195 by 65%

195/0.65 = 300


answer: 300 total cars

4 0
2 years ago
10 POINTS FOR GRAPHING!!
forsale [732]

The answer is B. 2

The explanation is pretty simple. You look at the grids, the line and the height.

8 0
3 years ago
The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that
SpyIntel [72]
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3 years ago
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