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xxTIMURxx [149]
3 years ago
6

Two circles have the same center but different radii. Which of the following is true about the circles? A. They are not similar

because they have different radii. B. They are congruent because they have the same center. C. They are congruent because they have the same shape and size. D. They are similar because they are of the same shape but different size.
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

The answer is D.

Step-by-step explanation:

Since the circle have the same center, you can assume that they are the same shape and therefore, similar. But since they have different radii, they will be similar due to different sizes.

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5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
Car A travels 120 miles in the same time that car B travels 150 miles. If car B averages 10 mph faster than car A, what is the s
amid [387]

Answer:

Speed of car A = 40 mph

Speed of car B =  50 mph

Step-by-step explanation:

Given:

Distance travelled by car A  = 120 miles

Distance travelled by car B  =  120 miles

To Find:

speed of each car = ?

Solution:

Let the speed of car A be x

then  speed of car B is (x +10)

The Time taken for each car is same

Time taken for car A =  Time taken for car B

We know that time  = \frac{distance}{speed}

Time taken for car A

=> \frac{120}{x}---------------------------(1)

Similarly

Time taken for car B

=> \frac{150}{x+10}-----------------------(2)

Equating (1) and (2), we get

\frac{120}{x} =  \frac{150}{x+10}

120 \times (x+10) = 150 \times x

120x + 1200 = 150x

1200 = 150x-120 x

1200 = 30x

x= \frac{1200}{30}

x= 40

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Speed of car B = (x+10) = (x+40) = 50mph

6 0
3 years ago
Which is the definition of a line segment?
Vlada [557]
In geometry, a line segment<span> is a part of a </span>line<span> that is bounded by two distinct end points, and contains every point on the </span>line<span> between its endpoints. A closed </span>line segment<span> includes both endpoints, while an open </span>line segment<span> excludes both endpoints; a half-open </span>line segment<span> includes exactly one of the endpoints.</span>
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4 years ago
Help with 33 show work please!
Kobotan [32]
To solve this, you have to know the formula for the area of a trapezoid:

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In this question:
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5 0
3 years ago
What is 4 2/3 + 2 1/5 + 3 1/2
Elena L [17]

Answer:

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Step-by-step explanation:

Convert the mixed fractions into improper fractions.

14/3+11/5+7/2

Add the values.

311/30

10\frac{11}{30}

=10.36666666667

6 0
4 years ago
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