Question:
1. What is the value of x? Show your work to justify your answer. (2 points)
2. What is the value of the exterior angle? Show your work to justify your answer. (2 points)
Answers
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
Related Questions
the length of a rectangle is 4 times its width. write an expression for the area of the rectangle.
Answers
so area=lengthxwidth
L=4W
Substitute length and you get A=4WxW, then simplify.
A pet store has two gray rabbit 1/8 of the rabbits at the pet store are gray how many rabbits does the pet store have
Answers
Given that two rabbits are gray and they represent 1/8 of all rabbits at a pet store, calculated using ratios, it can be inferred that the total number of rabbits is 16.
Explanation:The question is asking about the total number of rabbits in a pet store given that 1/8 of the total rabbits are gray and there are two gray rabbits. We can use this information to set up a ratio to calculate this.
To find out the total number of rabbits, we can set up a proportion where 2/total rabbits = 1/8. By cross multiplying, we find that 2 * 8 = total rabbits. Therefore, the pet store has 16 rabbits.
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Brandon buys a radio for $46.49 in a state where the sales tax is 7%.
Answers
I couldb't understand you're question but here are possible answers and explanations
What is the total price: $49.74
$46.49 • 0.07 = 3.25
46.49 + 3.25 = 49.74
What was the sales tax amount: 3.25
$46.49 • 0.07 = 3.25
Hope this helps.
15PTS!!
What is the best approximation of the solution to the system to the nearest integer values?
(−2, 6)
(7, −2)
(6, −2)
(−2, 7)
Answers
Answer:
(-2,6)
Step-by-step explanation:
The solution to a system of equations is where the two graphs intersection. By looking at the graph we can see that they cross at an x coordinate of approximately -2.4 and at a y coordinate of just above 6. We do not have to be too specific since we just have to be to the nearest integer.
(-2,6)
A restaurant cook earns $8 per hour for the first 40 hours worked and $12 per hour for over time (hours worked in addition to the 40 hours a week). Last week the cook worked 60 hours. Calculate the cooks total pay for that week.
Answers
Answer:the answer is 560
Step-by-step explanation:
The reason is because you multiply to get 8 and 40 to get the amount for regular time which is 320.Then you subtract 60 from 40 which is 20.You multiply that amounnt by 12 because that is the overtime which will equal 240.Add them together and you get 560. ☺
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of -20 C. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana’s. Which is the correct way to represent “the opposite of Shana’s temperature is equal to Pearl’s”?
- -20 = 20
- (-20) = -20
- (20) = - 20
- -(20) = 20
Answers
Answer:
- -20 = 20
Step-by-step explanation:
The "opposite" here means we take the negative of -20 C.
So we can write - -20 which is equal to 20.
So the first option is correct, - -20 = 20.
Answer:
d
Step-by-step explanation:
point a has the coordinates(2,5) point B has the coordinates (6,17) how long is segment ab in simplified radical form
Answers
Answer:
[tex]4\sqrt{10}[/tex]
Step-by-step explanation:
We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).
To find the length of segment AB we will use distance formula.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Upon substituting coordinates of point A and point B in distance formula we will get,
[tex]\text{Distance between point A and point B}=\sqrt{(6-2)^2+(17-5)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{(4)^2+(12)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{16+144}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{160}[/tex]
[tex]\text{Distance between point A and point B}=4\sqrt{10}[/tex]
Therefore, the length of segment AB is [tex]4\sqrt{10}[/tex].
How do I even do this?
Answers
Answer:
[tex]y\leq -x-5[/tex]
Step-by-step explanation:
First you find the equation of the line. Start by finding the slope of the line, using the two points given: (-5,0), (0,-5).
[tex]\frac{0--5}{-5-0} = \frac{5}{-5} = -1[/tex]
The y intercept is -5.
Your equation is then y = -1x-5.
To find which inequality to use, plug in a point within your region and see if the statement is true. I would choose (-3,-3)
-3 __ -1(-3)-5
-3 __ -2 you would fill this in with a <, so that is what goes in your equation. since the line is solid and not dotted, you include the underline in the sign.
The ratio of the measures of the three angles to a triangle is 2:9:4. Find the measures of the angles.
Answers
second angle is 108
third angle is 48
all the three angles of the triangle add up to 180
(its a rule)
then 2+9+4=15
180÷15=12
12×2=24
12×9=108
12×4=48
Answer:
first angle is 24
second angle is 108
third angle is 48
all the three angles of the triangle add up to 180
(its a rule)
then 2+9+4=15
180÷15=12
12×2=24
12×9=108
12×4=48
Step-by-step explanation:
i got it right
What ranges of scores have a frequency of 1
Answers
Answer:
20-30 & 40-50
Step-by-step explanation:
To find which range of scores have a frequency of 1, let's break it all down into separate ranges.
20-30: 1
30-40: 2
40-50: 1
50-60: 2
60-70: 6
70-80: 9
80-90: 13
90-100: 5
We can see in our different ranges that the range 20-30 and 40-50 have a frequency of 1.
How did we find this?
Analyze the chart and find which area shows the range, the bars are the frequencies of the different ranges.
From net earnings of 740 per month Lisa Jones must spend 200 for her portion of the rent on an apartment she shares with two friends what percent of her net income is her rent payment
Answers
Answer:
27% of her net income is her rent payment
Step-by-step explanation:
Net earnings = $740
Lisa spend $200 for rent payment
We need to find out what percent of net earning is her rent payment
Let x be the percentage
x% of net income = rent
x% * 740 = 200
[tex]\frac{x}{100} * 740 = 200[/tex]
Multiply both sides by 1004
740x = 20000
divide both sides by 740
x=27.02702703
So its approximately 27%
Which equations are equivalent to Y=2/3X-4 when written in slope-intercept form? Check all that apply. A =3X-2Y=4. B=2X-3Y=12. C-4(2X-3Y)=-4(12). D=2(X+6)=3Y. E=2X-3Y=4
Answers
Answer:
B 2X-3Y=12
C -4(2X-3Y)=-4(12)
Step-by-step explanation:
y = 2/3 x -4
multiply by 3
3y = 2x -12 factor out a 2 3y = 2(x-6)
subtract 2x from each side
-2x+3y = -12
multiply by -1
2x-3y = 12
multiply by -4
-4(2x-3y) = -4(12)
The slope-intercept form: y = mx + b.
The standard form: Ax + By = C.
We have:
[tex]y=\dfrac{2}{3}x-4[/tex] multiply both sides by 3
[tex]3y=2x-12[/tex] subtract 2x from both sides
[tex]-2x+3y=-12[/tex] change the signs
[tex]2x-3y=12\to\boxed{B.}[/tex] multiply both sides by (-4)
[tex]-4(2x-3y)=-4(12)\to\boxed{C.}[/tex]
Answer: B and C.A. 3x - 2y = 4 - NOT
D. 2(x + 6) = 3y → 2x + 12 = 3y → 2x - 3y = -12 - NOT
E. 2x - 3y = 4 - NOT
a−2>4. What is a's solution?
Answers
a > 6
a = [6 , infinity]
[tex] ( 6 \: . \: \infty )[/tex]
Martin will earn $20 per hour at a new job. During training, he will earn $15 per hour. What percent of Martin's regular hourly rate will he earn during training?
Answers
Answer:the answer is 75%
Step-by-step explanation:
Martin will earn 75% of his regular hourly rate during his training period, which is calculated by dividing the training hourly rate ($15) by the regular hourly rate ($20) and multiplying by 100%.
Explanation:To determine what percent of Martin's regular hourly rate he will earn during training, we need to compare his training wage to his regular wage. Martin's regular hourly rate is $20 per hour, and during training, he earns $15 per hour.
The percentage can be calculated using the formula:
Percent Earned During Training = (Training Hourly Rate / Regular Hourly Rate) x 100%
Now, plug in Martin's earnings:
Percent Earned During Training = ($15 / $20) x 100%
Percent Earned During Training = 0.75 x 100%
Percent Earned During Training = 75%
Therefore, Martin will earn 75% of his regular hourly rate during his training period.
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When Tom purchased a new motorcycle, he paid a 5% sales tax. The amount of sales tax he paid was $265. What was the total cost of the motorcycle including the sales tax? Enter your answer in the box. $
Answers
Answer:
$5565 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
100% ÷ 5 = 20
265 x 20 = $5300
$5300 + $265 = $5565
TO CHECK YOUR ANSWER
5565 x .05 = 265 (amount of tax)
In ΔABC, m∠A = 40°, m∠B = 60°. Find m∠C. (Hint: Draw the auxiliary line BD parallel to the line segment AC and take a look at the same side and the alternate interior angles)
Answers
Answer:
The measure of angle C is 80 degree.
Step-by-step explanation:
Given information: In ΔABC, ∠A = 40° and ∠B = 60°.
Draw the auxiliary line BD parallel to the line segment AC.
If a transversal line intersects the pair of parallel line, then the alternate interior angles are same.
The angle 1 and 2 are alternate interior angles of angle A and B respectively. Therefore angle 1 is equal to angle A and angle 2 is equal to angle C.
Angle 1,2 and B are supplementary angles because they lie on a straight line, therefore their sum is 180 degree.
[tex]\angle 1+\angle B+\angle 3=180^{\circ}[/tex]
[tex]\angle A+\angle B+\angle =180^{\circ}[/tex]
[tex]40^{\circ}+60^{\circ}+\angle C=180^{\circ}[/tex]
[tex]\angle C=180^{\circ}-100^{\circ}[/tex]
[tex]\angle C=80^{\circ}[/tex]
The angle sum property is another way to solve this problem.
According to the angle sum property, the sum of interior angles of a triangle is 180 degree.
Therefore the measure of angle C is 80 degree.
a deck 48 cards is divided equally among 6 colors if red is one of the colors in the deck what is the probability that the first card drawn will be red
Answers
Hope this helps.
How to study for Hesi exam
Answers
You’ve studied and you know the material, but have you taken the time to look at the actual exam? Taking the time to look at the exam itself will help you to learn more about the details of the HESI exam and what you can expect when you take the actual exam.
Here’s what you need to know about the HESI test:
2. Read Everything Carefully
The HESI exam can be a tricky test, so it is important that you read carefully the entire question as well as all of the answers. Often times, the test writers will throw in a few tricks to distract you and to keep you from seeing the correct answer. They may throw in an answer or two that could seem correct but is not necessarily the “best” answer.
3. HESI Flashcards
Flashcards come in handy when you need to get right down to the detail of the concepts that you need to study. Not only will using flashcards to study help you get right down to the details, but they also help you remember more information for the long-term. Using flashcards will come in very handy when you’re studying for the vocabulary section of the HESI test.
4. Know That There Is No “Pass” or “Fail”
The HESI exam is scored on a scale ranging from 750 to 900, with 900 being the best score possible. While you don’t actually “pass” or “fail” the HESI exam, every school has their own set score, and which subtests, are required for admittance into the progress
5. Create a Study Schedule
Don’t wait until the last minute to start studying for your HESI exam. Once you have scheduled your test date, sit down and create a study schedule that you can stick with leading up until right before the test. Also, instead of cramming the night before the exam, use this time to get a good night’s sleep so you will be refreshed and ready for the exam the next day.
6. HESI Practice Test
The only way you’re going to really know which areas you’re going to need work in is to take a HESI practice test. Not only will this give you an advantage of knowing which area you need more work in, but you will also get a feel of the real exam. When you’re ready to take a practice test, check out our HESI Practice Test.
7. Find Out Which Tests You Need
Many nursing schools require their applicants to take every section of the HESI exam. However, there are also many schools and programs that do not require every section to be completed. Make sure to check with the nursing school that you wish to attend to see about which sections of the HESI exam you will need to take. This way you can properly prepare for them.
8. Take The Individual Tests in Order from Easy to Difficult
You’re not required to take the individual tests in a specific order, you can choose which section you want to take first. In this case, take the sections of the exam that are easier for you and leave the more difficult sections for a later date. Not only will this give you more time to study for the more difficult section of the HESI exam, but you’ll be able to get some of the easier sections out of the way.
10. Check Your Answers
The HESI test as a whole is timed. However, the individual sections are not. This means that you can spend as much time as you need to on an individual section. Since you’re not timed during individual exams, you can go back and check your answers to make sure you didn’t make any mistakes. This will be very important when it comes to the Mathematics section.
Im wishing you all the best
What is the 6th term in the arithmetic sequence defined by the explicit formula
an=8n-3?
Answers
Answer: The 6th term is 45
Step-by-step explanation:
for the 6th term you would substitute 6 for n
an = 8n - 3
an = 8 * 6 - 3
an = 48 - 3
an = 45
Charlotte is running at a rate of 9\,\dfrac{\text{km}}{\text{h}}9
h
km
.
What is Charlotte's speed in \dfrac{\text{m}}{\text{s}}
s
m
?
Answers
Step-by-step explanation:
Given speed of Charlotte in kilometer per hour = 9 km/h
We need to find the Charlotte's speed in meter per second.
We know 1 kilometer = 1000 meter
And 1 hour = 3600 seconds.
Plugging those values of km and hour in given speed in km/h, we get
[tex]9\ \frac{km}{h} = 9\times \ \frac{1000m}{3600 seconds}[/tex]
[tex]=\frac{10m}{4s}= 2.5\ m/s[/tex].
Therefore,
Charlotte's speed in meter/second is 2.5m/s.Answer:
Speed of Charlotte in a Unit which includes Km and hour [tex]=9 \frac{\text{Km}}{\text{hour}}[/tex]
1 Km=1000 meter
1 hour=60 minutes=3600 seconds
Speed of Charlotte in a Unit which includes meter and second is
[tex]=\frac{9 \times 1000}{3600}\frac{\text{meter}}{\text{seconds}}\\\\=\frac{90}{36}\frac{\text{meter}}{\text{seconds}}\\\\=\frac{5}{2}\frac{\text{meter}}{\text{seconds}}[/tex]
Hello, I have a question about quadratic equations. I don’t know how to slove these:
1. (x-6)(2x-6)=20
2. (x+3) ² = 8x+12
3. (3x-1)(x+5)=3x ²
can somebody help me?
Answers
Answer:
Step-by-step explanation:
Answer:
1.X= 8 or 1
2.X= 3 or -1
3. X = 5/14
Step-by-step explanation:
1. Expanding your original equation (x-6)(2x-6)=20) , you get 2x^2-18x+36=20. Then, subtract 20 from both sides. You get 2x^2-18x+16=0. Now this is a standard Quadratic equation. Use the quadratic Formula to solve this, you get X= 8 or 1.
2. 1. Expand : x²+6x+9-8x-12=0 2. Simplify : x^2-2x-3=0 3. Solve as a quadratic equation : x= 3 or -1.
3. Same thing as the first one!
Hope I helped! <3
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule A(n)=-3+(n-1)(-2.2)
Answers
[tex]A(n)=-3+(n-1)(-2.2)=-3+(n)(-2.2)+(-1)(-2.2)\\\\A(n)=-3-2.2n+2.2=-0.8-2.2n\\\\\text{Substitute n = 1, n = 4, n = 10}:\\\\A(1)=-0.8-2.2(1)=-0.8-2.2=-3\\\\A(4)=-0.8-2.2(4)=-0.8-2.2(4)=-0.8-8.8=-9.6\\\\A(10)=-0.8-2.2(10)=-0.8-22=-22.8[/tex]
6 painters can paint the fence in 15 hours. How long would it take 5 workers to do the same job?
Answers
Answer:
12.5 hours
Step-by-step explanation:
15/6 is 2.5. 2.5 is how many hours per worker. 5 times 2.5 is 12.5 hours
if two lines are the same slope and diffrent y-intercepts then the lines are
Answers
Answer:
The lines would be parallel
Step-by-step explanation:
They have the same slope, but they sit on different y values. Therefore, they are parallel.
If,
a + b = 8,
ab + c + d = 23,
ac + bd = 28, and
cd = 12,
find the values of a, b, c, and d.
Answers
Answer: There are four possible solutions
a = 3, b = 5, c = 6, d = 2a = 4, b = 4, c = 3, d = 4a = 4, b = 4, c = 4, d = 3a = 5, b = 3, c = 2, d = 6Step-by-step explanation:
I was unable to manipulate this system to develop solvable equations, so I made a table consisting of 7 rows with the following 5 columns:
a (values of 1 thru 7)b (values of 7 thru 1)a·b (multiplying column 1 by column 2)c + d (subtracting column 3 from 23)cd=12 (two addends from column 4 that create a product of 12)Table 1
[tex]\begin{array}{c|c|c|c|c}{a&b&ab&c+d&cd\\1&7&7&16&\text{null}\\2&6&12&11&\text{null}\\3&5&15&8&2,6\\4&4&16&7&3,4\\5&3&15&8&6,2\\6&2&12&11&\text{null}\\7&1&7&16&\text{null}\\\end{array}[/tex]
I used the valid solutions (rows 3 thru 5) to determine which combinations satisfied ab + cd = 28.
Table 2
[tex]\begin{array}{c|c|c|c|c}a&b&c&d&ab+cd\\3&5&2&6&6+11=17\\3&5&6&2&18+10=28^*\\4&4&3&4&12+16=28^*\\4&4&4&3&16+12=28^*\\5&3&2&6&10+18=28^*\\5&3&6&2&30+6=36\\\end{array}[/tex]
* represent the valid solutions
A shoreline is eroding at a rate of 1/3 foot per 3 months.how many feet are eroding per year
Answers
Answer:
1 1/3 feet per year
Step-by-step explanation:
Steps:
1. How many months per year? 12.
2. 12 divided by 3 (number of months) =4
3. multiply 1/3 and 4.
4. Your answer is 4/3 or 1 1/3 feet per year.
The shoreline is eroding at a rate of 4/3 feet per year, which is approximately 1.33 feet per year, calculated by multiplying the 3-month erosion rate of 1/3 foot by 4.
The question is about calculating the annual rate of shoreline erosion given the erosion rate for a specific shorter period. If a shoreline is eroding at a rate of 1/3 foot per 3 months, we can find the yearly erosion rate by multiplying that rate by the number of 3-month periods in a year, which is 4 (since there are 12 months in a year).
To calculate:
Multiply the 3-month erosion rate by 4:
(1/3 foot per 3 months) x 4 (3-month periods in a year) = 4/3 feet per year
Therefore, the shoreline is eroding at a rate of 4/3 feet, or approximately 1.33 feet, per year.
cindy can bake 36 cupcakes in 1 hour. she needs a total of 144 cupcakes. she has already made 18 cupcakes. how many hours will it take cindy to bake the rest? write and solve the equation.
Answers
Answer:
The answer would be 4 more hours.
Step-by-step explanation:
Since she can make 36 cupcakes in 1 hour,
144 divided by 36 is 4, so it would take four more hours to make the rest.
Hope I helped! God bless you :-)
A model is created to show 5 thousands blocks, 4 hundreds blocks, and 9 ones blocks. How would this number be written in standard form?
Answers
Answer:
Five thousand- four hundred and nine.
Step-by-step explanation:
Remy drinks 214 cups of water every 145 hours.
How many cups of water does he drink in 1 hour?
Answers
Answer:
Approximately 1.5 cups/hour
Step-by-step explanation:
Divide 214 cups by 145 hours.
(214 cups)/(145 hours) = 1.47586... cups/hour
Remy drinks around 1.47 cups of water in an hour. This was calculated by dividing the total cups (214) by total hours (145).
Explanation:To solve this question, we need to calculate the rate at which Remy drinks 214 cups of water every 145 hours. This can be done by dividing the total number of cups by the total number of hours.
So, the formula we have is:Cups per hour = Total Cups / Total hours
This gives us:Cups per hour = 214 / 145
After calculating this, you will find that Remy drinks approximately 1.47 cups of water in 1 hour.
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It says to find the value of x.
Answers
Answer:
x = 23
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
the third angle forms a straight angle with 100°, hence
third angle in triangle = 180° - 100° = 80°
Summing the 3 angles gives
2x + 3 + 80 + 51 = 180
2x + 134 = 180 ( subtract 134 from both sides )
2x = 46 ( divide both sides by 2 )
x = 23