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The equation you would write would be 2x + x + 60 = 180.
This is because you have to add all the angles inside the triangle in order to get 180°. Then, you solve the equation.
2x + x + 60 = 180
Add all the like terms.
3x + 60 = 180
Subtract 60 on both sides.
3x = 120
Divide 3 on both sides.
x = 40
Related Questions
What is the slope of a line perpendicular to the line whose equation is X+3y=-15
Answers
52,300,000 in scientific notation
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Answer:
5.23 × 10 ^7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?
Answers
Answer:
D
Step-by-step explanation:
First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer
The point that represents a viable solution is D(4, 3).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
The graph shows the system of inequalities:
x + y ≤ 14
x ≥ 3
y ≥ 0
where x is the weight of the apples and y is the weight of the oranges.
We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.
Let's check each option:
A(2, 9):
2 + 9 ≤ 14 (satisfied)
2 < 3 (not satisfied)
9 ≥ 0 (satisfied)
A(2, 9) does not satisfy the second inequality, so it is not a viable solution.
B(3, -2):
3 + (-2) ≤ 14 (satisfied)
3 ≥ 3 (satisfied)
-2 ≥ 0 (not satisfied)
B(3, -2) does not satisfy the third inequality, so it is not a viable solution.
C(1, 14):
1 + 14 ≤ 14 (not satisfied)
1 ≥ 3 (not satisfied)
14 ≥ 0 (satisfied)
C(1, 14) does not satisfy the first inequality, so it is not a viable solution.
D(4, 3):
4 + 3 ≤ 14 (satisfied)
4 ≥ 3 (satisfied)
3 ≥ 0 (satisfied)
D(4, 3) satisfies all three inequalities, so it represents a viable solution.
Therefore, the point that represents a viable solution is D(4, 3).
To learn more about the systems of inequalities;
https://brainly.com/question/19526736
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help me fast for brainiest!
Answers
I hope this helpss!!!
please help! 30 points !!
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Answer:
1. C
2. C
Step-by-step explanation:
1. 5x+12=57
Subtract 12 from both sides
5x=45
Divide both sides by 5
x=9
2. 7-4x=12-3x
Combine like terms =
-4x+3x=-12-7
x=-12-7
x=19
Solve for x
35 = 5(x + 9)
X =
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Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
Use the original price and the markdown to find the retail price.
Original price: $70; Markdown: 34%
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Can you tell me the definition of the highlighted word please in your own words (Thank you)
Answers
Answer:
congruent means similar
Step-by-step explanation:
why didnt you just search it up? lol
congruent means that they are perfectly identical.
Please help explain how to do this
Answers
Exponents
Multiple
Divide
Add
Subtract
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
What is the origin of algebraic expresions plz
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I need help asap this is kind of confusing
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If you are still struggling with this stuff I recommend the app or website called Math-way!!
Answer:
your answer should be 15
Step-by-step explanation:
[tex]8^{2} - (5+2)^{2} \\8^{2} - (7)^{2}\\(8 * 8) - (7 * 7)\\64 - 49\\15[/tex]
What is the answer? Please help
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Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
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Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
yo plz help I don't understand
Answers
Answer:
Step-by-step explanation:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so
[tex](GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\[/tex]
I hope this helps you
PLEASE MARK ME AS BRAINLIEST
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answers
Answer:
poop
Step-by-step explanation:
poop
find the estimates of x^2-x-2=3
Answers
Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answers
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
Help plz ASAP
150% as a fraction or mixed number
Answers
Answer:
150%as a fraction is 3/2
Answer:
1.50 or 1 1/2
Step-by-step explanation:
Hope this helps!
can y'all please help 10 points
Answers
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
Need help with this question
Answers
Answer:
Correct answer is no. 1
Step-by-step explanation:
Answer:
Choice A, or the first choice, should be the answer
Step-by-step explanation:
By using the process of elimination, you can cross out choices B and C because the speed limit is 30.
The speed limit is 30, thus your speed can be at 30 mi/h.
Choice A is the last and the correct answer.
Robert is pouring wax into cylindrical candle containers. Approximately 226.19 cubic inches of wax fill one candle jar. Which image represents that volume?
A cylinder with height 8 inches and radius 3 inches.
A cylinder with height 5 inches and radius 4 inches.
A cylinder with height 10 inches and radius 2 inches.
A cylinder with height 5 inches and radius 5 inches.
Answers
Answer:
The first choice.
Step-by-step explanation:
The volume must be about 226.19 in^3.
Volume of a cylinder = area of base * height4
= πr^2h = 226.19
r^2 = 226.19 / πh.
Consider the first of the choices:-
When h = 8 , r^2 = 226.19 /8π = 8.9998
So r = 3.00 to nearest hundredth.
So this is the required image.
Answer: It a
Step-by-step explanation:
What is this question?
Answers
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
PLEASE HELP AND QUICK WILL GIVE THANKS
Answers
Answer:
15.012
Step-by-step explanation:
tan(theta) = opposite/adjacent
tan65 = x/7
x = 7tan65
x = 15.012
hope this helped!
15.012
Pls mark me brainless answer
the number of members in 20 families in a village is given as 6,8,6,3,2,5,7,8,6,5,5,7,7,8,6,6,7,7,6,5
how many families have more than 5 members
step by step explanation please answer this... don't spam
Answers
Answer:
2
6,6,6,6,6,6=more than 5
7,7,7,7,7=has exactly 5 members
rectangle
rhombus
square
isosceles trapezoid
Answers
Answer:
Rhombus
Step-by-step explanation:
It does not have congruent diagonals
graph y < - 4/3x + 3
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Answer: if you see my picture you will see my answer
Step-by-step explanation: hope this help
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
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Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
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Answer:
The answer is 200
Step-by-step explanation:
A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year
Answers
Answer:
the cashier would have 15000 dollars at the end of the year.
Step-by-step explanation:
is that what you were asking?