Answers
This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)
Now to find <x, we can use the exterior angles theorem a couple of times.
<x=<p+<AGE
<x=30 degrees + <AGE
Now use the theorem again to find <AGE
<AGE=<q+<BIG
Now use substitution for <q and for <AGE
<x=30 degrees+60 degrees+ <BIG
We put this to the side for now and try solve for <CHD which is not very difficult
<CHD=180-45-20=115
We can also clearly figure out <HFI using vertical angles theorem.
<HFI=<Y
Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees
substitution again
<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)
<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)
<x+<y=155 degrees
Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.
Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!
You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!
**Just a note would you mind telling me where you got this problem form, its pretty challenging :)
Related Questions
Eli made 2 peanut butter jelly sandwiches and cut each one into fourths. How many 1/4 sandwich pieces can Eli have?
Answers
What is the range for the third size of the triangle 13,24?
Answers
Answer:
third side range
5
<
C
<
11
Step-by-step explanation:
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answers
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
How could you add -13 + 10 ?
Pleaseeee help pleasee Thanks !!
Answers
Answer:
Choice A
Step-by-step explanation:
Answer:
A. Add 13 + 10, and keep the negative sign from - 13.
- 13 + 10
10 - 13 = - 3
help please i need this in by midnight
A 12-ounce cup of coffee costs $2.88. If the unit price remains the
same, how much would 3 quarts of coffee cost?
Answers
So the price is $23.04
(1 x2) x (3 x 2) x (1 x 3) = ?
Answers
Answer:
2*6*3= 36
Step-by-step explanation:
hope this helps
Multiply whats inside the prentices first, then multiply on the outside then that's how you will get your answer
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW STEPS TO ALL PARTS
Use the function f(x) to answer the questions:
f(x) = 4x2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Answer:
Part A & B
Step-by-step explanatPart A:
f(x) = 4x ^ 2 - 7x - 15
0 = 4x ^ 2 - 7x - 15
a = 4, b = -7, c = -15
a x c = -60
-12 x 5 = -60
-12 + 5 = -7
(4x + 5)(4x - 12)
4x ^ 2 - 12x I + 5x - 15
4x(x - 3) + 5(x - 3)
(x - 3)(4x + 5)
x = 3 x = -1.25 or -5/4
Part B:
Minimum point
(x1 + x2)/2
(3 -1.25)/2 = 0.875
f(x) = 4x ^ 2 - 7x - 15
f(0.875) = 4(0.875) ^ 2 - 7(0.875) - 15
f(0.875) = 3.06 - 6.125 - 15
f(0.875) = -18.065ion:
Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)
Answers
Your answer is A!
Step-by-step explanation:
Your answer is A!
The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given coordinate plane, the coordinate point lies in fourth quadrant.
Where, x-coordinate is positive and y-coordinate is is negative.
The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.
So, the coordinate point is (3, -5)
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
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Mei runs 60.36 miles in 4 weeks. If she runs 3 days each week, what is the average distance she runs each day?
Answers
Answer:
15.09
Step-by-step explanation:
She ran only 12 times every 4 weeks, so we divide 60.36 by 4 which then becomes the result of running 3 days a week which means the answer is 15.09 because 15.09 multiplied by 4 is 60.36.
Answer:
The answer is 15.09.
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
Answers
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 given that he or she is a root beer drinker.
A.) 5/17
B.) 6/17
C.) 15/17
D.) 2/5
Answers
Answer:
B) 6/17
Step-by-step explanation:
P( root beer AND over 40)/P(over 40)
30/(20+30+35)
30/85
6/17
A student wants to compare the mean times needed to access flight information for two major airlines. 20 randomly selected students accessed one airline's Web site, and the time required to locate the flight information had a mean of 2.5 minutes and a standard deviation of 0.8 minute. 20 different randomly selected students accessed the other airline's Website, and the time required to locate the flight information on that site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p-value is true?A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two WebsitesB. The p-value is greater than 0.01 but less than 0.05; therefore, there is a significant difference in mean search times on the two WebsitesC. The p-value is greater than 0.05 but less than 0.10; therefore, there is a significant difference in mean search times on the two WebsitesD. The p-value is greater than 0.10; therefore, there is no significant difference in mean search times on the two WebsitesE. Since this is a matched-pairs situation, additional information is needed to perform a test of significance.
Answers
Answer:
The statement which can be true about the p-value is;
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites
Step-by-step explanation:
Whereby the p-value is less than the significance level or pre-defined number we reject the null hypothesis that there is no difference in the mean time it takes to access the Websites of the two major airlines
Where the p-value is larger than the significant level, we fail to reject the null hypothesis and therefore, there is not enough evidence to indicate that the mean time to access the Websites of the two major airlines are different
The p-value is compared with a given level for the test, for it to be assed
The option that has the correct inference based on only one significant level or predefined is the p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites
The statement which can be true about the p-value is (A).
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites
What is the p-value?
The p-value in statistics is the likelihood of getting outcomes at least as severe as the observed results of a statistical hypothesis test, given the null hypothesis is valid.
The reason for option A is correct.
We reject the null hypothesis that there is no difference in the meantime it takes to visit the Websites of the two main airlines when the p-value is less than the significance level or pre-defined number.
We fail to reject the null hypothesis when the p-value is greater than the significant threshold
Hence there is insufficient evidence to suggest that the meantime to visit the websites of the two main airlines is different.
For the test to be assessed, the p-value is compared to a predefined level.
The p-value is less than 0.01 in the option that has the accurate inference based on only one significant level or predetermined; hence, there is a considerable difference in mean search times.
To learn more about the p-value refer to the link;
https://brainly.com/question/17257574
What is the median of 5, 9, 6, 6, 7, 5, 8, 7, 6
Answers
Put them on order from least to greatest.
5, 5, 6, 6, 6, 7, 7, 8, 9
The middle number is the median.
The median of this number set is 6.
To find the median I first put all the numbers in numerical order-- 5, 5, 6, 6, 6, 7, 7, 8, 9-- and choose the number in the middle which is 6.
If this is incorrect, please, don't refrain to tell me. Thank you.
If AC = 30 and AE = 3x + 3, then x = ________.
If DC = 6x + 1, BC = 2y + 2, AB = 25, and AD = 14, then x = _______ and y = _______.
Answers
Answer and Step-by-step explanation:
Part 1:
AE is equal to EC
3x + 3 + 3x + 3 = 30
6x = 24
x = 4
DC is equal to AB
6x + 1 = 25
6x = 24
x = 4
BC is equal to AD
2y + 2 = 14
2y = 12
y = 6
#teamtrees #PAW (Plant And Water) (Was told i couldn't use WAP, so I created PAW - The reverse order of the wording)
one more guys, can you guys help me?
Answers
Answer:
A
Step-by-step explanation:
X is less than -7 because the open circle indicates that x is not -7
A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density
Answers
Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
An equation is written
ac-b=1
Based on the equation, which is a true statement?
Answers
Answer:
Step-by-step explanation:
find the slope of the line of best fit shown below.
Answers
Find the volume of the cone.
Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.
Answers
Answer:
v ≈ 78.54
Step-by-step explanation:
v = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
so v ≈ 78.54
The points (1,6) and (3, 10) fall on a particular line. What is its equation in slope-intercept form?
Answers
Answer:
y=2x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-6)/(3-1)
m=4/2
m=2
y-y1=m(x-x1)
y-6=2(x-1)
y=2x-2+6
y=2x+4
help a gal out please
Answers
Answer: negative, linear association
Step-by-step explanation:
MATH HELP WILL MARK BRANLIEST
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
Form a quadrilateral with exactly one pair of parallel sides.
Answers
Answer:
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Step-by-step explanation:
hope this helped
helppppppppppppppppppppppppppppppppppppppp?
Answers
Answer:
Step-by-step explanation:
GHJ looks like it on 112 degrees.
IHJ is an acute angle so smaller than 90 degrees. I cant see the numbers there but I'm guessing its about 68 degrees.
GHJ + IHJ= 180
they should equal 180 degrees when added together.
What is the approximate area of a circle with the diameter of 20cm in square centimeters (use 3.14 for pie(
Answers
Answer:
314cm
Step-by-step explanation:
the area formular for a circle is a=pi(r)^2. Using this information we can plug in the numbers...
3.14(10)^2. Next square 10 to get 3.14*100. Then you get 314 which is the answer. The reason I used 10 is because the diameter is half of the radius so half of 20 would be 10.
is the point (0,0) a solution for this system?
Answers
Answer:(0,0) is not a solution of the system.
Step-by-step explanation: I think.
The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answers
Answer:
Decreased percent = 41.4 % (Approx.)
Step-by-step explanation:
Given:
Old number = 70
New number = 41
Find:
Decreased percent
Computation:
Decreased number = 70 - 41
Decreased number = 29
Decreased percent = [29 / 70]100
Decreased percent = 41.42%
Decreased percent = 41.4 % (Approx.)
A roll of tape has a circumference of 14.8 centimeters. The circumference decreases 2.4 centimeters after you use some of the tape. What is the diameter of the roll after you use the tape? ROUND to the nearest HUNDREDTH. I need answers quick
Answers
Answer:
7.900 cm
Step-by-step explanation:
The computation of the diameter after using the tape is given below:
Since the circumference is 14.8 cm
And it would be decrease by 2.4 cm
So, the new circumference is
= 14.8 - 2.4
= 12.4 cm
Now the radius is
= 12.4 ÷ π
= 3.95
And, the diameter is
= 3.95 × 2
= 7.900 cm
A new business borrows $320,000 at a yearly simple interest rate of 7%. The total amount the
company repays for the loan and interest is $678,400. How long did it take to pay off the loan?
Answers
Answer:
16 years
Step-by-step explanation:
Annual interest payment is 7% * 320k = 22,400
Total interest is 678400-320000=358400
358400/22400=16
The number of years that it takes to pay off the loan will be 16 years.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
A new business borrows $320,000 at a yearly simple interest rate of 7%. The total amount the company repays for the loan and interest is $678,400. Then the equation is given as,
P + I = A
$320,000 + ($320,000 x 7 x T) / 100 = $678,400
$22,400 T = $358,400
T = 16 years
The number of years that it takes to pay off the loan will be 16 years.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ2
A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?