Answers
The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem. Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.
After understanding what the problem is asking for us to do we can attempt to solve the problem. We can see that there are two angles on a straight line and this is known as supplementary angles. Let us define what supplementary angles are.
Supplementary Angles ⇒ Supplementary Angles are two angles that are formed on a straight line causing them to add up to 180 degrees. Therefore, an expression can be made where the two angles add up to 180 and it can be solved for the unknown.In this case we don't have a missing angle but rather a variable that makes up each of the angles. Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180. After that we can solve for the unknown which in turn would give us x.
Create an expression
[tex]Angle_1 + Angle_2 = 180[/tex][tex](2x) + (4x - 6) = 180[/tex]Combine like terms
[tex]2x + 4x - 6 = 180[/tex][tex](2x + 4x) - 6 = 180[/tex][tex](6x) - 6 = 180[/tex]Add 6 to both sides
[tex](6x) - 6 + 6 = 180 + 6[/tex][tex](6x) = 180 + 6[/tex][tex]6x = 186[/tex]Divide both sides by 6
[tex]\frac{6x}{6} = \frac{186}{6}[/tex][tex]x = \frac{186}{6}[/tex][tex]x = 31[/tex]Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Related Questions
Find the square root of 64a^2/9b^2+4+32a/3b
Answers
Answer:
[tex]\frac{4.(ab+3^2}{9}[/tex]
Step-by-step explanation:
help pls i dont no
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Step-by-step explanation:
[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]
So choose option 1st
-1 67/93
Hope it will help :)
Answer: -1 67/93
Explain:
The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative
Can I have a brainliest
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Answer:
Step-by-step explanation:
N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n
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Answer:
1
Step-by-step explanation:
because u didnt have 1 plus its counting down on the numbers so i think its 1
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Answer:
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Step-by-step explanation:
Coupon A-14$ rebate on 77$ jacket
Coupon B- 15% off on a 77$ jacket
Answers
This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
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A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000
Answers
Answer:
A
Step-by-step explanation:
1000000·2.5=2500000
2500000÷100=25000
1000000+25000=1025000
Please help me out with this guys
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Find the 101th term in the arithmetic sequence -3,-5,-7,-9,-11
Answers
2/3 divided by 1/9
?????
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Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Help mee !! I’ll give points !!
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Find the measure of
Answers
Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
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Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100
Answers
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
Learn more about the arithmetic series from here
https://brainly.com/question/16415816
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O(-
Determine if (-2, -1) is a Solution or
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Please answer!!!
Answers
Answer:
It is a Solution
Step-by-step explanation:
y=3(-2)+5 y=-1
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In WXY y=3.6 w=6 and X=147
Answers
Answer:
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a.
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Answers
Answer:
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Step-by-step explanation:
A integer is a whole number, it's either positive or negative.
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Answer:
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Step-by-step explanation:
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Or
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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a^5 is the answer
Step-by-step explanation:
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a^5
Step-by-step explanation:
A triangle has an area of 55 cm² and a base of 10 cm².
What is the height of the triangle?
Answers
Answer:
11 cm
Step-by-step explanation:
Answer:
11 Cm
Step-by-step explanation:
b Base
10
cm
A Area
55
cm²
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formula
A=hbb
2
Solving forhb
hb=2A
b=2·55
10=11cm
The Husky student store is selling CIF football playoff tickets. The cost is $6 per child ticket and $12 per adult ticket. The student store sells a total
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Answers
Answer:
Your answer.
X = 168, Y = 136
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
A loan of $25,000 has an annual simple interest rate of 5.5%. The total cost of the loan is $38,750.
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Step by step explanation;
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Answers
Answer:
24
Step-by-step explanation:
Answer:
About 13.86
Step-by-step explanation:
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[tex]\sqrt{} 192[/tex] = 13.8564064606
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Answer:
d = 11.401754
For:
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Distance Equation Solution:
=√ (-4−5)2+(−3−4)2
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=11.401754
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Answer:
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Step-by-step explanation: