If A is the center of the circle, then which statement explains how segment GH is related to segment FH? Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
Answers
Answer:
I can say for sure that the answer is not segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint. I believe the answer is segment GH ≅ segment FH because arc EF ≅ arc GF.
Step-by-step explanation:
Again, I'm not sure about the correct answer but I know for sure it isn't segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
The segment GH and the segment FH are equal to each other because the line AH is coming from the center of the circle and is bisecting the line GF.
What is a circumscribed circle?
The circumcenter of a triangle can be constructed by drawing any two of the three perpendicular bisectors. For three non-collinear points, these two lines cannot be parallel, and the circumcenter is the point where they cross.
Any point on the bisector is equidistant from the two points that it bisects, from which it follows that this point, on both bisectors, is equidistant from all three triangle vertices
Hence the segment GH and the segment FH are equal to each other because the line AH is coming from the center of the circle and is bisecting the line GF.
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Related Questions
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 4 kg, the acceleration of the object is 13 m/s^2. When the same force acts upon another object, its acceleration is 2 m/s^2. What is the mass of this object?
Answers
Answer:
26 kg
Step-by-step explanation:
varies inversely :
y = k/x
acceleration = k/mass
13 = k/4
k= 52
---------------------
2 = k/mass
2 = 52/mass
mass = 26 kg
Which polynomial is prime?
a. x³+3x²+2x+6
b. x³+3x²-2x-6
c. 10x²-4x+3x+6
d. 10x²-10x+6x-6
Answers
May I have brainliest please thank you !
Find the circumference. Use 3.14. r = 4 cm C = [?] cm
Answers
Answer:
24.12
Explanation --
Circumference = Pi x D (d --> diameter)
Diameter = 2r (r --> radius)
4+4 (4[2]) = 8
3.14 times 8 (8 is the diameter we just found out, while 3.14 is pi) -->
25.12
Hope this helps!!
Answer: c=πd
we need 'd'
hence,
d=2r
d=2(4cm)
d=8cm
now,
c=3.14×8cm
c=25.12cm
3/4 pound of Colby cheese costs $1.69. Find the unit price per pound. (3/4 pound=12)
Answers
Answer:
2.25
Step-by-step explanation:
We can write a ratio to solve
1.69 x
------ = ---------------
3/4 lb 1 lb
Using cross products
1.69 * 1 = 3/4 *x
1.69 = 3/4 x
Multiply by 4/3
1.69 * 4/3 = x
x=2.25333
Rounding to the nearest cent
do the two trapezoids in the figure appear to be similar? why or why not?
Answers
Answer:
The answer is D cuz two if the corresponding angles are congruent.
Hallar el noveno término de la progresión aritmética 8, 13, 18,…
Answers
Answer:18
Step-by-step explanation:
Question 3
A bottle of apple juice has 25 ounces. Find the number of quarts of apple juice in a case of 24 bottles. Give the answer as a decimal.
Answers
Answer:
The number of quarts of apple juice in a case of 24 bottles is 18.75.
Step-by-step explanation:
This question is solved by proportions, using rules of three.
Amount of ounces:
1 bottle - 25 ounces
24 bottles - x ounces
Applying cross multiplication:
[tex]x = 25*24 = 600[/tex]
600 ounces to quarts:
Each ounce has 0.03125 quarts.
1 ounce - 0.03125 quarts
600 ounces - x quarts:
[tex]x = 600*0.03125 = 18.75[/tex]
The number of quarts of apple juice in a case of 24 bottles is 18.75.
The lengths of pregnancies in a small rural village are normally distributed with a mean of 264.1 days and a standard deviation of 12.9 days. In what range would you expect to find the middle 95% of most pregnancies
Answers
Answer:
The range of the 95% data (X) = 238.3 days < X < 289.9 days
Step-by-step explanation:
Given;
mean of the normal distribution, m = 264.1 days
standard deviation, d = 12.9 days
between two standard deviation below and above the mean is 96% of all the data.
two standard deviation below the mean = m - 2d
= 264.1 - 2(12.9)
= 238.3 days
two standard deviation above the mean = m + 2d
= 264.1 + 2(12.9)
= 289.9 days
The middle of the 95% of most pregnancies would be found in the following range;
238.3 days < X < 289.9 days
If it takes sally 45 minutes to walk 1 mile how long will it take sally to walk 1,954 miles?
Answers
Answer:
87,930 Minutes
Step-by-step explanation:
Let us use unit rates for this question. Let's first draw a table.
Minutes Mile
45 1
This table represents the relation of Sally walking 1 mile in 45 minutes. Let's put the other data we know of in the table.
Minutes Mile
45 1
1954
To find the number of minutes, we must know that if 1 mile takes 45 minutes, we must multiply the number of minutes, which is 45, by 1954 to get the result desired. Let us do that.
1954*45 = 87,930
Minutes Miles
45 1
87,930 1954
Therefore it will take Sally 87,930 minutes to walk 1,954 Miles.
I Hope This Helps!
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30 is what percent of 44?
Answers
Answer:
68.18
Step-by-step explanation:
→ Set up an equation
[tex]\frac{44x}{100} =30[/tex]
→ Times both sides by 100
44x = 3000
→ Divide both sides by 44
68.18
The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 107 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 28.6°. Find the length of the tower to the nearest meter. m
Answers
Answer:
[tex]l=56m[/tex]
Step-by-step explanation:
From the question we are told that:
Angle from vertical [tex]\theta =5.6[/tex]
Horizontal Distance [tex]d=107m[/tex]
Angle of elevation [tex]\gamma=28.6[/tex]
Generally the Trigonometric equation for exterior angles is mathematically given by
[tex]Exterior\ angles=\sum of\ two\ interior\ angles[/tex]
Where
[tex]Exterior angles=90 \textdegree +5.6 \textdegree[/tex]
Therefore
[tex]90 \textdegree +\theta \textdegree=\omega+\gamma[/tex]
[tex]90 \textdegree +5.6 \textdegree=\omega+28.6 \textdegree[/tex]
[tex]\omega=67 \textdegree[/tex]
Generally the equation for The Sine rule is mathematically given by
[tex]\frac{sin \omega }{d}=\frac{sin \gamma}{l}[/tex]
[tex]l=\frac{107 sin 28.6}{sin 67 \textdegree }[/tex]
[tex]l=56m[/tex]
write 11.4 in standard form
Answers
[tex]11.4[/tex]
[tex] \to \: 1.14 \times {10}^{1} [/tex]
If a drug has a concentration of 8.22 mg per 3.039 mL, how many mL are needed to give 7.469 gram of the drug? Round to 1 decimal.
Answers
Answer:
2.8 litres
Step-by-step explanation:
8.22 mg per 3.039 mL
2.704 mg per 1 mL
7.469 gram = 7469 milligrams
7469 milligrams per 2,761.34927mL
= 2.761 litres = 2.8 litres
Adam sleeps for nine hours each night, five nights a week, and 11 hours for two nights a week.
Which is closest to the percentage of the whole week that Adam spends sleeping?
A) 25%
B) 30%
C) 33%
D) 40%
E) 50%
Answers
Answer:
E
Step-by-step explanation:
The percentage of the whole week that Adam spends in sleeping is 33%.
What is percentage?
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
How to find percentage of a number?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
According to the give question.
Adams sleeps for nine hours each night, five nights a week.
⇒ Number of hours he sleep for five nights = 5 × 9 = 45 hours
Also, 11 hours for two nights a week.
So, the total number of hours Adam sleeps in a week = 45 + 11 = 56 hours
And, total number of hours in a week = 24 × 7 = 168
Therefore,
The percentage of the whole week that Adam spends in sleeping
= (total number of hours Adam sleep in a week/Total numbers of hour in a week) × 100
[tex]=\frac{56}{168}[/tex] × 100
= 33.33%
= 33%
Hence, the percentage of the whole week that Adam spends in sleeping is 33%.
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(Urgent)!
Fill in the blank with the correct response.
Find x
x = _____________
Answers
Answer:
4
similar right triangles
[tex]\frac{8}{x} = \frac{x}{2}[/tex]
[tex]x^{2} = 16\\x=4[/tex]
Step-by-step explanation:
Please explain the answer
Answers
Answer:
3.5
Step-by-step explanation:
in order to find the maximum, we are basically solving to find the vertex of the graph. to find the vertex use :
-b/2a
the 'b' is 112
the 'a' is -16
so :
-112/-32 = 3.5
the answer is B, 3.5
5. Does the infinite geometric series S = 25 + 20 + 16 + ... converge or diverge? Explain.
Answers
9514 1404 393
Answer:
converges
Step-by-step explanation:
The common ratio is 20/25 = 16/20 = 4/5. The magnitude of this is less than 1, so the series converges.
Mariah owed her grandfather 52.25 but was recently able to pay him back $1.50. How much does Mariah currently
owe her grandfather?
Answers
The answer is 50.75.
Answer:
52.25 - 1.50 = 50.75
Step-by-step explanation:
I'd recommend using a calculator or pencil and paper
53.25
- 1.50
--------
50.75
The stemplot below represents the number of bite-size snacks grabbed by 37 students in an activity for a statistics class.
A stemplot titled Number of snacks has values 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 21, 22, 23, 25, 25, 28, 32, 38, 42, 45.
Which of the following statements best describes the distribution?
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
Answers
Answer:
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
Step-by-step explanation:
First, we can see if the graph is symmetric. A symmetric graph is even on both sides of the center. As there are a lot more students that grabbed a small number of snacks, and the data is not even around the center (which is somewhere around 20 or 30 snacks). This means that the graph is not symmetric, making the second answer incorrect.
Next, we can check if the graph is skewed right or left. If the left of the graph represents a smaller amount of snacks and the right of it represents a higher number of snacks, we can see that most of the data is on the left of the graph. There are a few values to the right, but the overwhelming amount of data is on the left, making the distribution skewed to the right. This keeps the first and last answers possible
Moreover, we can find the center of the distribution. This is generally equal to the median, which is 18, so the center is around 18
After that, we can see what the values vary from. The lowest tens value is 1, and the lowest ones value in that is 2, making the lowest value 12. Similarly, the highest tens value is 4, and the highest ones value there is 5, making the range 12 to 45. This leaves the last answer, but we can check the outliers to make sure.
With the data, we can calculate the first quartile to be 15, the third quartile to be 21.5, and the interquartile range to be 21.5-15 = 6.75 . If a number is less than Q₁ - 1.5 * IQR or greater than Q₃ + 1.5 * IQR, it is a potential outlier. Applying that here, the lower bound for non-outliers is 15 - 6.5 * 1.5 = 5.25, and the upper bound if 21 + 6.5 * 1.5 = 30.75. No values are less than 5.25, but there are four values greater than 30.75 in 32, 38, 42, and 45. There are possible outliers at 38, 42, and 45, matching up with the last answer.
Which statement is true about the value of Start Absolute Value negative 5 End Absolute Value?
Answers
Statements? At least look for one that says it is equivalent to positive 5.
The answer to this math problem need help
Answers
Step-by-step explanation:
you know that you can copy and paste and give the answer
Adam runs 13 miles in 143 minutes. How many minutes does it take him to run one mile? Adam runs at a rate of minutes per mile.
Answers
Answer:
Adam runs at a rate of 11 minutes per mile.
Step-by-step explanation:
Take 143 minutes and divide by 13 miles and you will get the answer of 11 minutes.
PLEASE MARK ME BRAINEIST.
Answer:
it would take him 11 minuets to run a mile
Step-by-step
143 divided by 13 is 11 which means each mile takes 11
you can also check the answer by multiplying 13 times 11 which is 143
Help me please, is it d?
Answers
Answer:
Yes D is the correct answer :)
Answer:
Yes, D
Step-by-step explanation:
State and prove the converse of the pythagorean theorem using a two-column proof
Answers
Answer:
Step-by-step explanation:
I'm from the UK and I'm not familiar with a two column proof, but the following proves the converse.
Draw 2 right angled triangles with the 2 legs = a and b in each case and the longest side = c in one triangle and f in the other.
By Pythagoras a^2 + b^2 = c^2 (Given)
Also in the other triangle a^2 + b^2 = f^2, if it is right-angled.
Therefore a^2 = f^2 and a = f.
So the 2 triangles are congruent by SSS.
So m < C in one triangle = m < F ( the angles opposite the hypotenuse)
Therefore the second triangle is right angled .
This completes the proof.
Kara ate 2 7/9 of the raisins she packed. Which box shows the decimal equivalent of the amount of raisins she ate? Box A: 2.777 etc Box B: 2.79 Box C: 2.999 etc.
Answers
Answer: Box A, 2.777
=======================================================
Explanation:
When using a calculator or long division, you should find that
7/9 = 0.7777...
where the 7s go on forever
So we can say that 7/9 = 0.777 approximately. You could argue that the last '7' would round up to an '8' and we could say 7/9 = 0.778; however, I'll stick to the first value so that it matches with the answer.
Since 7/9 = 0.777, this means 2 & 7/9 = 2 + 7/9 = 2 + 0.777 = 2.777 which is box A.
Answer:
A
Step-by-step explanation:
From the figure, the cylinder glass has a height of 6 inches and a radius of the mouth of the glass 1.25 inches. Find the length of SK in inches.
Answers
Answer:
D. 6.5
Step-by-step explanation:
The diameter of the cylinder is 1.25 x 2 = 2.5
SK = √1.25² + 6² = √42.25 = 6.5
I need help ASAP anyone?
Answers
Explanation:
Each vertical asymptote is due to a division by zero error.
For instance, the vertical asymptote x = 3 is from the factor (x-3) in the denominator. If we plugged x = 3 into (x-3), then it turns into 0 and we cannot have 0 in the denominator.
Similarly, the factor (x+3) leads to x = -3
So overall, we have (x-3)(x+3) in the denominator.
Write the ratio as a fraction in simplest form
4.5 hr to 4 hr
Answers
4 or 4/1
9514 1404 393
Answer:
9/8
Step-by-step explanation:
To clear the fraction in the ratio 4.5 to 4, you can multiply both numbers by 2. This gives you the reduced ratio 9 to 8. As a fraction, that is 9/8.
Write the expression as a single trigonometric function.
cos 5x cos 6x- sin 5x sin 6x
Answers
Answer:
[tex]\cos(11x)[/tex]
Step-by-step explanation:
Given
[tex]\cos 5x\ \cos 6x- \sin\ 5x \sin 6x[/tex]
Required
Express as a single function
In trigonometry, we have:
[tex]\cos(A + B) = \cos A\cos B - \sin A \sin B[/tex]
By comparison, we have
[tex]\cos(5x + 6x) = \cos 5x\cos 6x - \sin 5x \sin 6x[/tex]
[tex]\cos(11x) = \cos 5x\cos 6x - \sin 5x \sin 6x[/tex]
Which expressions are equivalent to -6(b+2)+8
Choose all answers that apply:
A. -6b+2+8
B. -6b-4
C. None of the above
Answers
Answer:
B. -6b-4
Step-by-step explanation:
-6(b+2)+8
Distribute
-6b-12+8
Combine like terms
-6b-4
