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Kay [80]
3 years ago
7

The angles below are supplementary. what is the value of x?

Mathematics
2 answers:
AlexFokin [52]3 years ago
5 0
In the equation x=22
Yakvenalex [24]3 years ago
4 0
A supplementary angle = 180°

5x + 20 + 50 = 180

5x + 70 = 180

5x + 70 (-70) = 180 (-70)

5x = 110

5x/5 = 110/5

x = 22

22 is your answer for x

hope this helps
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Which are the solutions of the quadratic equation x2 =-5-3
alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

 

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0
3 years ago
Which reason justifies Statement 5?
zloy xaker [14]

Answer:

The answer is A. Substitution

Step-by-step explanation:

Looking at the previous proofs, you can see that:

∠Y≅∠4

∠Z≅∠6

∠X + ∠4 + ∠6 = 180°

Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.

The best answer is the Substitution.  

6 0
3 years ago
Read 2 more answers
What is 35÷110 equal
Thepotemich [5.8K]
0.32 is the answer you are looking for.
3 0
3 years ago
Read 2 more answers
ALOT OF POINTS IF YOU HELP ME PLEASE EXPLAIN ​
Svetllana [295]

Answer:

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).

Step-by-step explanation:

Misha's group was asked to write an expression equivalent to  

7y²z + 3yz² - 3

When Mr. Chen checked their answers, he found only one to be correct.

And she was Helena.

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).  

Because, (7y²z + 6yz²- 5 - 3yz² + 2)

= 7y²z + (6yz² - 3yz²) - (5 - 2)  

= 7y²z + 3yz² - 3 (Answer)

4 0
3 years ago
Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.
snow_lady [41]
Standard formula for arithmetic sequence:
an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d 
170 - 38 = 33d
132 = 33d

132/33 = d
This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0

The starting term is -6

8 0
3 years ago
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