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Bezzdna [24]
2 years ago
6

June and Angad have played 30 tennis matches.

Mathematics
1 answer:
Bad White [126]2 years ago
7 0

Answer:

Step-by-step explanation:

a) P (June) = 7/15

b) P (Angad) = 8/15

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Santiago collects 435 cents in nickels.how many nickels does he collect?
Marianna [84]
He has 87 nickels (divide 435 by 5).
7 0
3 years ago
How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?
MAVERICK [17]

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

8 0
3 years ago
Why is circle 1 similar to circle 2?
DanielleElmas [232]

Answer:  The answer is given below.

Step-by-step explanation: The given circles are:

Circle 1: centre (2, 3) and radius 4  

Circle 2: centre (2, 3) and radius 12.

The equations of circle 1 and circle 2 are respectively given as :

(x-2)^2+(y-3)^2=4^2,\\\\(x-2)^2+(y-3)^2=12^2.

These two circles are drawn on the graph as shown in the attached figure.

We can easily see that the Circle 2 is a dilation of Circle 1 with a scale factor

S=\dfrac{12}{4}=3.

Thus, the two circles are similar.

6 0
3 years ago
Read 2 more answers
Solve 2a − 5d = 30 for d
valina [46]
2a - 5d = 30\\
5d=2a-30\\
d=\dfrac{2a-30}{5}
6 0
4 years ago
Read 2 more answers
What is the answer to this problem 6(1-5m)
Ivahew [28]
Apply the distributive property.<span>6⋅1+6<span>(−5m<span>)

</span></span></span>Multiply <span>66</span> by <span>11</span> to get <span>66</span>.<span><span>6+6<span>(−5m)</span></span><span>6+6<span>(-5m)</span></span></span>Multiply <span><span>−5</span><span>-5</span></span> by <span>66</span> to get <span><span>−30</span><span>-30</span></span>.<span><span>6−30m</span><span>6-30m</span></span>Reorder <span>66</span> and <span><span>−30m</span><span>-30m</span></span>.<span>−30m+<span>6
So your answer is </span></span>−30m+6
5 0
3 years ago
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