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marishachu [46]
3 years ago
15

which of the following sets of numbers will form a right triangle A. 12,13,14 B. 15,16,18 C. 5,6,9 D.5,12,13

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0
Your answer would be D i’m sure
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. A fair number cube labeled 1, 2, 3, 4, 5, and 6 is rolled 100 times. About how many times would you expect the number 3 to app
Stella [2.4K]

I hope I answer your question

3 0
3 years ago
The sum of 5 consecutive integers is 110, what is the fourth number in this sequence?
Xelga [282]

The answer is:  " 23 " .

    →  The fourth number in the sequence is:  " 23 " .

_____________________________________

Explanation:

To solve:

 " x + (x + 1) + (x + 2) + (x + 3)  + (x + 4) = 110 " ;

in which:

 "x" = The first number in these sequence;

 "(x + 1 )" = the second number in the sequence;

 "(x + 2)" = the third number in the sequence;

 "(x + 3)" = the fourth number in the sequence;

 "(x + 4)" = the fifth number in the sequence;

_____________________________________

Solve for the "fourth number in the sequence" ; or:  "(x + 3)" ;

_____________________________________

Given:  " x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 110 " ;

                     ↔   " x + x + 1 + x + 2 + x + 3 + x + 4 = 110 " ;

→  Solve for "x" ;  

→  then,  solve for "(x + 3)" ;  

     →  which is the fourth number in this sequence;

_____________________________________

→  " x + x + 1 + x + 2 + x + 3 + x + 4= 110 " ;

      "5x + 1 + 2 + 3 + 4= 110 " ;

      " 5x + 10 =  110 " ;

Solve for "x" :

     Subtract "10" from EACH SIDE of the equation; as follows:

      " 5x + 10 - 10 =  110 - 10 " ;

 to get :

      "  5x = 100 " ;

Now, divide EACH SIDE of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" ;  as follows:

         5x / 5  = 100 / 5 ;

to get:

         "  x  = 20 "  .

_____________________________________

Now, to find the fourth number in the sequence:

 →  " (x + 3) " ;

→  Substitute "20" for "x" ;

    " x + 3 = 20 + 3 = 23" ;

_____________________________________

The answer is:  " 23 " .

The fourth number in the sequence is:  " 23 " .

_____________________________________

Let us check our work:

If there are five "5" numbers in the sequence, and "23" is the "fourth number" , then:  "24" is the "fifth number" .

As such:  "22" is the "third number" ;  "21" is the "second number" ; and "20" is the "first number" .  Is this consistent with:  "x = 20" as the "first number" ?  Yes!

Thus,  "20 + 21 + 22 + 23 + 25 = ?  110 ?  ? ;

→  20 + 21 = 41 ;

→  41 + 22 = 63 ;

→  63 + 23 = 86 ;

→  86 + 24 = 110 .    Yes!

_____________________________________

Hope this answer is helpful!

Best wishes in your academic pursuits—

 and within the "Brainly" community!

_____________________________________

5 0
3 years ago
PLEASE HELP!! BRAINLIEST ANSWER AND FASTEST ANSWER GETS TON OF FREE POINTS...MATH WHIZZES, HELP ME OUT. FORGOT HOW TO DO THIS.
Julli [10]
Inscribed angles equal half of their arc length. So <D+ <B = 180
substitute: x+24+x+10 = 180 
solve: 2x + 34 = 180
2x= 146
x= 73
NOw find the measure of angle A:
<a = x + 15
<a = 73 + 15
<a = 88
 Now to find <C
<C = 180- 88
<C = 92
Hope this helps!
5 0
3 years ago
Identity each pair of angles as complementary, supplementary, or neither.
CaHeK987 [17]

Answer:

Neither

Supplementary

Supplementary

Step-by-step explanation:

1) 90 + 43 = 133

Since this value does not equate to 90 or 180. The answer is Neither

2) 61 + 119 = 180

Since the answer equates to 180. The answer is Supplementary

3) 90 + 90 = 180

Since the answer equates to 180. The answer is Supplementary

4 0
2 years ago
A savings account earns 5% simple interest per year. The principal is $1200. What is the balance after 4 years?
stiv31 [10]
The formula of the Simple Interest is:
I=PRT
P for Principle Amount     ($1200)
R for Rate                        (5%=\frac{5}{100} = 0.05)
T for Time in years          (4 years)
I = 1200 × 0.05 × 4
  = $240

Add the interest to the principle amount to check the balance
$1200 + $240 = $1440

7 0
3 years ago
Read 2 more answers
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