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Stels [109]
3 years ago
9

Angle A measures (2x + 23)°. Angle B is supplementary to angle A and measures (4x + 46)°. Write and solve an equation to find th

e value of x.
Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0
2x+23+4x+46=180
6x+69=180
6x=180-69
6x=111
x=111/6
x=18.5
KatRina [158]3 years ago
4 0
Supplementary angles add up to 180 degrees.

2x + 23 + 4x + 46 = 180

Combine like terms:

2x + 4x = 6x
23 + 46 = 69

6x + 69 = 180

Subtract 69 to both sides:

6x = 111

Divide 6 to both sides:

x = 18.5
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Replace * with a monomial in such a way, that the trinomial becomes a perfect square. *+12x+1
Mrrafil [7]

Answer: * = 36x^2

Note: Im guessing you're here for rsm struggles. That's how I found this question. I searched the web for the answer to this rsm problem, but I couldnt find it. I was happy to find this brainly link, but annoyed to find it was unanswered. I did the problem, and now i'll help future rsm strugglers out. Thanks for posting this question.

Step-by-step explanation:

Ok, so we know that trinomials like this are squares of binomials. this in mind, we know that it can also be written as (x+y)^2. (also brainly's exponents feature used to be better, if the exponents are confusing you, comment.) Using the (x+y)^2 equation, you know that by simplifying it, you get x^2+2xy+y^2. Basically we're looking for x^2. Using the middle term, 2xy, or 12x in this equation, we can find x. since we know the square root of 1 is 1, we know 12=2x. This is kinda confusing, but basically since the answer is 6, we know that the x-term is 6x. We square 6x and get 36x^2. guaranteed to work on the rsm student portal, i'm in rsm and i just answered this question.

Hope this helps! Also, im not usually too active on brainly unless im looking for HW answers, so if you understand this explanation and you see a confused comment, help out a friend and answer it. Happy holidays!

4 0
2 years ago
Round 34.037 to 3 significant figures. <br>a. 34.04 <br>b. 34 <br> c. 34.037 <br> d. 34.0​
dezoksy [38]

Answer:

My answer to the question is 34.0

6 0
3 years ago
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books from this s
trapecia [35]

\displaystyle \binom{6}{3}\cdot2+\binom{6}{2}=\dfrac{6!}{3!3!}\cdot2+\dfrac{6!}{2!4!}=\dfrac{4\cdot5\cdot6}{2\cdot3}\cdot2+\dfrac{5\cdot6}{2}=40+15=55

8 0
3 years ago
3x + x - 13 + 4x =12
GREYUIT [131]
 <span>3x + x - 13 + 4 - 6x =12  

Combine like terms....

- 2x - 9 =12 

Add 9  to both sides....

-2x = 21

Divide both sides by -2 to get x by its self....

x = -21/2</span>
4 0
3 years ago
Read 2 more answers
Integer Operation:<br> Adding Integers<br> 1) 85 + (-96) =
FromTheMoon [43]

Anytime your adding a negative number, its the same as subtract a positive number.

85 + (-96) → 85 - 96

85 - 96 = -11

Best of Luck!

4 0
3 years ago
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