Answers
Answer: 120
Step-by-step explanation:
All angles in a triangle add up to 180. The third angle in the triangle is 60. A straight line is always 180, and line TU intersects it. So, subtract 60 from 180 and you get 120.
Answer:
120 degrees
Step-by-step explanation:
70 + 50 = 120 (exterior angle of a triangle)
Related Questions
Solve each system using substitution show your answer as an ordered pair no solution or infinite solution
Answers
1) Given y = x+2 and y = -4x-8.
Since the left hand sides of both equations are same, equate the right hand side of both the equations.
[tex]x+2=-4x-8[/tex]Add 4x on both sides.
[tex]\begin{gathered} x+2+4x=-4x-8+4x \\ 5x+2=-8 \end{gathered}[/tex]Add -2 on both sides.
[tex]\begin{gathered} 5x+2-2=-8-2 \\ 5x=-10 \end{gathered}[/tex]Divide by 5 on both sides.
[tex]\begin{gathered} x=-\frac{10}{5} \\ =-2 \end{gathered}[/tex]Substitute the value of x into y = x+2.
[tex]\begin{gathered} y=-2+2 \\ =0 \end{gathered}[/tex]Solution is (-2,0).
2) Given y = 3x+1 and y = -2x+6.
Since the left hand sides of both equations are same, equate the right hand side of both the equations.
[tex]3x+1=-2x+6[/tex]Add 2x on both sides.
[tex]\begin{gathered} 3x+1+2x=-2x+6+2x \\ 5x+1=6 \end{gathered}[/tex]Add -1 on both sides.
[tex]\begin{gathered} 5x+1-1=6-1 \\ 5x=5 \end{gathered}[/tex]Divide by 5 on both sides.
[tex]\begin{gathered} x=\frac{5}{5} \\ =1 \end{gathered}[/tex]Substitute the value of x into y = 3x+1.
[tex]\begin{gathered} y=3\cdot1+1 \\ =4 \end{gathered}[/tex]Solution is (1, 4).
3) Given y = -3x-6 and 6x+2y = -2.
Substitute -3x-6 for y into 6x+2y = -2.
[tex]\begin{gathered} 6x+2(-3x-6)=-2 \\ 6x-6x-12=-2 \\ -12=-2 \end{gathered}[/tex]which is not possible. Hence the given system of equations has no solution.
4) Given y = -5 and -8x+4=-20.
From the second equation, -8x+4 = -20, solve for x.
Add -4 on both sides.
[tex]\begin{gathered} -8x+4-4=-20-4 \\ -8x=-24 \end{gathered}[/tex]Divide by -8 on both sides.
[tex]\begin{gathered} x=\frac{-24}{-8} \\ =3 \end{gathered}[/tex]Solution is (-5, 3).
the numberof blocks has 9 in the ones places.The number in the hundreds place is one more than the number in the tens place. Those two numbers equal 11. How many blocks are there?
Answers
Based on the given information, we can express the following
[tex]\begin{gathered} h=1+t \\ h+t=11 \end{gathered}[/tex]Because the digit of hundreds is 1 more the tens, and they sum 11. Let's combine the function to find t
[tex]\begin{gathered} h+t=11 \\ 1+t+t=11 \\ 2t=11-1 \\ t=\frac{10}{2}=5 \end{gathered}[/tex]So, the digit of tens is 5.
Let's find the hundreds.
[tex]h=1+t=1+5=6[/tex]The number of hundreds is 6.
Hence, the number of blocks is 659.I need an answer for 1,2,3,4,5, and 6
Answers
Using alternate exterior angles,
[tex]3x-31=x+59\\\\2x=90\\\\x=45\\\\\implies 3x-31=x+59=104[/tex]
So,
[tex]\angle 1[/tex]: 76 degrees using linear pairs
[tex]\angle 2[/tex]: 104 degrees using corresponding angles
[tex]\angle 3[/tex]: 76 degrees using vertical angles
[tex]\angle 4[/tex]: 104 degrees using same-side interior angles
[tex]\angle 5[/tex]: 76 degrees using linear pairs
[tex]\angle 6[/tex]: 76 degrees using vertical angles
Complete the point slope equation of the line through -2,6 and 1,1
Answers
Answer:
3y = -5x + 8
Step-by-step explanation:
Point Slope Equation Of A Straight Line:
y - y1 = m(x - x1)
where m = slope of the line and (x1, y1) is any point on the line
Slope is given by rise/run
For any two point (x1, y1) and (x2, y2) on the line
rise = y2 - y1
and
run = x2 - x1
Given points (-2, 6) and (1, 1)
rise = 1 - 6 = -5
run = 1 - (-2) = 1 + 2 = 3
rise/run = m = -5/3
Equation using the point (1, 1) is
y - 1 = -5/3(x - 1)
y - 1 = -5/3x + 5/3
Multiply both sides by 3 to get
3(y - 1) = 3 x (-5/3)x + 3(5/3)
3y - 3 = -5x + 5
3y = -5x + 8
Your lunch in the hospital cafeteria cost $6.50. Based on working 50 weeks per year, how much will you spend on lunch per year?
Answers
The total amount spent on lunch per year would be 325 dollars.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that Your lunch in the hospital cafeteria cost $6.50. Based on working 50 weeks per year, then;
The lunch in the hospital cafeteria cost = $6.50.
The total amount spend on lunch per year;
6.50 x 50
325
Hence, the total amount spent on lunch per year would be 325 dollars.
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five friends are going to share 1/2 of a pizza. How much of a whole pizza will each friend eat?which equation can be used to solve the problem above?A.5÷1/2=nB.1\2÷5=nC.n÷5=1/2D.n÷1\2=5
Answers
In this case the answer is very simple .
Step 01:
Data
5 friends
1/2 pizza
Step 02:
We must distribute the pizza among 5 friends.
[tex]\frac{\frac{1}{2\text{ }}\text{ pizza}}{5\text{ friends}}\text{ = n}[/tex]The answer is:
Option B.
1\2÷5=n
Determine whether the sequence 15,13,11,9 is an arithmetic sequence if yes, identify the common difference.
Answers
The sequence is not an arithmetic sequence because. The n-term for an arithmetic sequence is:
[tex]a_n\text{ = }a_1\text{ + }(n-1)d[/tex]where d is the difference between two consecutive numbers. In this case d = 2. Because
15-13 = 2
13-11 = 2
11- 9 = 2
now, the first term for 15,13,11,9 is 15 = a_1, the second term would be:
[tex]a_2\text{ = }a_1\text{ + }(2-1)d\text{ }[/tex]that is equivalent to say:
[tex]a_2\text{ = 15 + }(2)2=19\ne13\text{ }[/tex]So we can conclude that 15,13,11,9 is not an arithmetic sequence.
Charlie has 5/6 pounds of dog food. She wants to put equal portions into 3 bowls how much food will go into each bowl?
Answers
5/6 divided by 3 would give you:
5/18 or 0.27
Please help I couldn’t go to school today and I don’t understand
Answers
Answer:
the value of x is 2
Step-by-step explanation:
3x + 6
x = 6 ÷ 3
x = 2
3x + 6
3× 2 + 6
6+6
12
-4 + 8x
-4 + 8×2
-4+16
12
(50 x 2) plus (15 x 2)
Answers
Answer:
130
Step-by-step explanation:
100+30
Answer:
130
Step-by-step explanation:
100+30=130
if the company decides to produce 2,000 containers of regular crunchy peanut butter, how many containers of new extra crunchy peanut butter would it produce?
Answers
The number of extra crunchy peanut butter that the company would produce (current production units) is 1,700 containers.
How is the number determined?Using the mathematical operation of subtraction, the number of units to be produced can be determined.
First, we have that the ending inventory for the last period was 300 containers.
This ending inventory is subtracted from the required production level, to determine the number of containers to produce for this period.
Thus, to meet the production requirements, the company would produce additional 1,700 containers of crunchy peanut butter.
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Question Completion:Ending inventory of regular crunchy peanut butter from last period = 300 containers.
how many weeks would be spent per year if you spend 2 hours tutoring per week, for the last 3 years?
Answers
Answer: .619 weeks per year
Step-by-step explanation:
52 weeks * 2 hours * 3 years = 312 hours tutored over 3 years
24 hours in a day * 7 days in a week = 168 hours in a week
312 / 168 = 1.857 weeks tutored over 3 years
1.857 / 3 = .619 weeks tutored per year
Line CD passes through (0,1) and is parallel to x+y=3. Write the standard form of the equation of line CD
Answers
The standard form of the equation of line CD is x + y = 1
What is standard form of equation of a line?The standard form ;of equation of s line is written in the form
Ax + By = C
Line that are parallel has equal slope hence solving for the slope of line
x + y = 3 we have
y = -x + 3
The slope is -1
Equation of line CD passing through points ( 0, 1 )
( y - 1 ) = -1 * ( x - 0 )
y - 1 = -1 * x
y = -x + 1
writing to standard form
x + y = 1
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The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
Answers
Answer: 156.86
Step-by-step explanation:
What is the diameter of a sphere with a volume of 80487 in^3, to the nearest tenth ofan inch?
Answers
EXPLANATION
If the volume of a sphere is 80487 in^3, the diameter would be given by the following relationship:
[tex]\text{Volume}=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Replacing terms:
[tex]80487=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Isolating r^3:
[tex]\frac{80487}{\pi}\cdot\frac{3}{4}=r^3[/tex]Applying the cubic root to both sides:
[tex]\sqrt[]{\frac{80487}{\pi}\cdot\frac{3}{4}}=r[/tex]Switching sides:
[tex]r=\sqrt[]{\frac{80487}{\pi}\cdot\frac{3}{4}}[/tex]Multiplying numbers:
[tex]undefined[/tex]y + 7 ≥ –1 and y∕4 + 3 ≤ 5.
Answers
Answer:
first one
y can be every number so it can be a -6 to infinity
[tex] - 1 < y [/tex]
[tex]y = - 6 \: or \: \infty [/tex]
second two
y<8
[tex]y < 8 \: or \infty [/tex]
Write an equation for the function whose graph is shown to the right
Answers
In this problem we have that
the parent function or original function is
[tex]y=\sqrt[]{x}[/tex]the transformation is a translation of 2 units at left
so
the rule is
(x,y) ------> (x-2,y)
therefore
the equation of the given graph is
[tex]y=\sqrt[]{x+2}[/tex]Find the vertex of the absolute value function y = 7|x – 3| - 2.(-3, -2)(3, 2)(3, -2)(3, -1/2)
Answers
By the first term of the given function 7lx - 3l you can notice that there is a translation 3 units to the right of the pattern function lxl. This allows one to conclude that the x-coordinate of the vertex is 3.
Now, for such a value of x the function value is 7l3 - 3l - 2 = -2. Then, the y-coordinate of the vertex is -2.
Hence, the vertex of the function is (3,-2)
Which is a counterexample for the conditional statement shown?
If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.
any fraction with a denominator of 0
any fraction with a numerator of 0
any fraction with a positive numerator and a negative denominator
any fraction with a negative numerator and a positive denominator
Answers
Answer: Choice C
any fraction with a positive numerator and a negative denominator
======================================================
Explanation:
Consider the fraction 10/(-5) where we divide 10 over -5
The numerator 10 is larger than the denominator -5, as any positive number is larger than a negative number. But 10/(-5) simplifies to -2 which is not greater than 1.
This is one counterexample to show that the original conditional statement is false.
Javier exercises for 2 1/2 hours every Saturday. His exercisesincludes two parts. If he spends the same amount of timeon each part how many hours does he spend weightlifting?
Answers
According to the given data we have the following:
Javier exercises for 2 1/2 hours every Saturday, hence, he exercises for 2.5 hours.
In order to calculate the amount of time he spend weightlifting we would make the following calculation:
amount of time he spend weightlifting=total training per day/2
amount of time he spend weightlifting=2.5 hours/2
amount of time he spend weightlifting=1.25 hours
Therefore, he spends weightlifting 1 hour and 25 minutes every saturday
A university claims its recent graduates earn an average annual salary of
$45,000. You draw a random sample of 40 recent graduates and find that their
average salary is $46,000, and calculate the standard error of the sample mean
as 436.81. What is the t ratio for this result?
Answers
Answer:
t-ratio = 0.362
Step-by-step explanation:
In hypothesis testing,
The t-ratio is given by the formula:
[tex]\dfrac{X-\mu}{s}[/tex]
where μ is the hypothesized mean, X the sample mean and s the sample standard deviation
The Standard Error of the Mean SEM = [tex]\large \text{{$\dfrac{s}{\sqrt{n}}$}}[/tex] where n is the sample size.
We We are given:
X = 46,000
μ= 45,000
SEM = 436.81
n = 40
We can find the sample standard deviation
s = SEM x √n
s = 436.81 x √ 40
s = 2762.3
Therefore
t-ratio = (46000 - 45000)/2762.3 = 0.362
Helppppppp will give brainiest to first right answer
Answers
Answer:
1 degrees F
Step-by-step explanation:
-3+12-6=3
3/3 = 1
1 degrees F
:]
You would do -3+12-6 ( which is 3) and divide that by 3 (the number of numbers) to get the average (1). Now you know that 1 degree is your answer.
How would you find the area of each of your rooms without furniture?
Answers
Given that you have a room that has dimensions l and w wherein l is the length of the room while w is the width of the room (shown in a diagram below).
the area of the room can be computed using the equation
[tex]A_{room}=l\times w[/tex]Basically, we just multiply the length and the width of the room.
f(x)=3x+2 and g(x)=2x2−5
Given also that fg(x)=ax2+bx+c work out the value of a+b−c
Answers
Answer:
a= -4
b -15
c -10
Step-by-step explanation:
by avoiding x^3 you can find your problem
2x – 1 over 5 - 3x +2 over 4
Answers
we have
(2x-1)/5-(3x+2)/4
{4(2x-1)-5(3x+2)}/20
{8x-4-15x-10}/20
{-7x-14}
5-(3x+2)/4
4(2x-1
The combination of both integer and rational numbers gives
Answers
Answer:
Step-by-step explanation: Answer is real number
Evaluate the expression for j = 8.
-7 + 2j =
Answers
Answer:
The answer tp this question is: 9.
Choose the place where the digit 1 sits in this number 988,172,430,056
Answers
The number 1 sits in the 100 millions place.
The 100 millions place is 8 spaces to the left of the decimal. Hence, considering 1 is 8 spaces from where a decimal place could be, then 1 is in the 100 millions place.
Hope this helps!
0,2% of what number is 8?
Answers
LE THE UNKNOWN NUMBER BE x WHEN I SOLVE
[tex] \frac{0.2}{100} \times x = 8 \\ \frac{0.2x}{100} = 8 \\ [/tex]
I WILL USE CROSS MULTIPLICATION
[tex]0.2x = 8(100) \\ 0.2x = 800 \\ \frac{0.2x}{0.2} = \frac{800}{0.2} \\ x = 4000[/tex]
OF ( 4000) IS 0.2% OF 8.
HOPE THIS HELPS.
Why was the Battle of Fallen Timbers important for the new democracy?
Please write 3 paragraphs, stating 3 different reasons why the battle was important. (Paragraphs should be 4-6 sentences each
Answers
The Whiskey Rebellion put an end as a consequence of the Battle of Fallen Timbers; that had a significant outcome.
Why was Battle of Fallen Timbers important to the US?After the Battle of Fallen Timbers, the Indians agreed to the Treaty of Greenville, which gave the United States authority over most of the river crossings in the Old Northwest Territory as well as vital sites like Detroit.
The Battle of Fallen Timbers is considered to be the last battle of the American Revolution and which also helped the new country start expanding the territory to the west.
This will effectively ensured American dominance over the Indian tribes. The Whiskey Rebellion; which was the first significant confrontation between the nascent American government and it's inhabitants, which was put a stop to by it, and peace was restored.
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