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gladu [14]
3 years ago
11

Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either i

s false, give a counterexample.
If an angle is a right angle, its measure is 90.
If an angle measure is 90, the angle is a right angle.
Mathematics
1 answer:
BigorU [14]3 years ago
6 0
The conditional and its converse are true, and the biconditional is
An angle is a right angle if and only if its measure is 90.
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The length of a rectangular garden is 3yd more than twice it’s width. The perimeter of the garden is 36yd. What are the width an
Basile [38]
2L + 2W = 36
2(3+2W) + 2W = 36
6 + 4W + 2W = 36
6W + 6 = 36
        -6  = -6
6W=30
W= 30/6 = 5     L= 3 + 2W = 3 +2 (5) = 3 +10= 13

Width is 5
Length is 13


7 0
4 years ago
A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
Sharon buys 14 folders for 0.75 dollars each how much change she will
AlekseyPX
0.75 x 14 = 10.50
15 - 10.50 = 4.50
your answer is : Sharon will receive $4.50 change
7 0
3 years ago
What is the exact volume of the cylinder with a radius of 13 and a height of 30?
torisob [31]
The volume would be <span>15927.87
so
</span>V ≈ 15927.87to be sure with my answer.
8 0
4 years ago
Can 5ft 9ft 14ft make a triangle?
ss7ja [257]

Answer:

Any dimensions can make a triangle, however

this does not make a right angled triangle.

Step-by-step explanation:

Determine the length of the hypotenuse of a right angle triangle with side lengths 5ft and 9ft by using the formula:

a^2+b^2=c^2\\

\sqrt{a^2+b^2} = c

c=10.29

This is not equal to 14ft.

6 0
3 years ago
Read 2 more answers
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