Answers
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
The measure of arc DF should be 90 degrees.
Calculation of the measure of arc DF:Here we assume arc mCE should be 5x + 10
Since mDF = 90°
Also we know that at the time when two chords should be crossing in a circle so the angle in the cross point should be equivalent to the half the sum of the arcs
So base don this.
[tex]70 = (mCE + mDF)\div 2\\\\70 = (5x + 10 + 11x + 2)\div 2\\\\70 = (16x + 12)\div 2[/tex]
70 = 8x + 6
8x = 64
x = 8
Now the arc mDF is:
mDF = 11x + 2
= 11 (8) + 2
= 90°
Hence, The measure of arc DF should be 90 degrees.
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Related Questions
(URGENT)Which summation formula represents the series below?
13 + 9 + 5 + 1
Σ-4n+1)
Σ-47-15)
Σ(n-4)
Σ(n-4)
Answers
Answer:
Σ-47-15)
Step-by-step explanation:
Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
The series can be written as:
13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)
= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)
= Σ(n-4) from n=1 to 4
Therefore, the summation formula that represents the series is Σ(n-4).
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Evaluate \sqrt{-75s}
−75s
square root of, minus, 75, s, end square root where s = -3s=−3s, equals, minus, 3.
Answers
Answer:
Step-by-step explanation:
the answer is 15!
The square root of the number -√75 will be -3√5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The square root of the number will be calculated as below:-
-√75 = - √( 3 x 3 x 5 )
= -3√5
Therefore, the square root of the number -√75 will be -3√5.
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Find the equation of the line.
Use exact numbers
y=___ x+____
Answers
Answer:
y=x-5
Step-by-step explanation:
transformations from parent function:
down 5 units
Answer:
y=x-5
Step-by-step explanation:
slope=rise/run=5/5=1
y -intercept=-5
y=x-5
which of the following is not a polynomial (a)x^2+ root2*x -3 (b)x^2+ root2x+6 (c)x^3+3x^2-3 (d)6x+4 Pls ans it fast....!!!!!
Answers
Answer:
the answer is B)
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
A.10
B.15
C.20
D.30
Answers
Answer:
C. 20
Step-by-step explanation:
105 + 9.5x = 14.75x
105 = 5.25x
20 = x
Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided
Answers
Answer:
A) g(x)= -(x-6)^2
Step-by-step explanation:
The graph is of a parabola, so there must be a ^2
If you plug the equation into the graphing calculator it will graph it for you.
Which symbol correctly compared these two fractions
Answers
Answer:
B
Step-by-step explanation:
> = greater than
= this means equal to
< = less than
[tex]\frac{8}{13} =\frac{8}{13}[/tex]
What is this angle ?
A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.
Answers
Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)
Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)
Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.
This may be a little confusing, so don't be afraid to ask for clarification, but great luck!
Convert 7/15 to a decimal.
SHOW WORK
Answers
Answer:
.4666...
Step-by-step explanation:
What you do:
Too convert 7/15 to a decimal you need too divide it.
7/15 = 0.466666667 So its a repeating decimal.
There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47
^ that is more accurate.
Have a good day! :)
Evaluate the following expression. 6 squared -1
Answers
Answer:
35
Step-by-step explanation:
[tex]6^2 - 1\\36-1\\35[/tex]
In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is
Answers
Answer:
The answer is 1-1/2 minutes.
Step-by-step explanation:
Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Find the lengths of the legs of the triangle
Answers
Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
simplify 1/9 - 1/x over 1/81 - 1/x^2
Answers
Answer:
9x over x+9
Step-by-step explanation:
What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic
Answers
The type of function is Linear.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
x 5 10 15 20 25 30
y 6.5 13 19.5 26 32.5 39
As, we can see from the table that every time the the difference between two consecutive value is same.
Hence, the function is linear.
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Find the volume of a cone with the radius of 14, and a height of 9. (Hint:
the volume of a cone is 1/3*b*h where the "b" is the area of the base of
the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for PI!!!*
Answers
Answer:
The answer is 1846.32 units³.
Step-by-step explanation:
Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Let π = 3.14,
Let r = 14,
Let h = 9,
[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]
[tex]v = 1846.32 \: {units}^{3} [/tex]
look at the picture, type at least two ways they are the same and different.
Answers
Answer:
Similar - They are both rectangles
Similar - They are both connected
Difference- One has yellow and one has white
Difference- Both are not at the same point?
Step-by-step explanation:
Brainliest appreciatedA line of best fit is drawn for the set of points shown on the graph.
A 2-column table with 10 rows. The first column is labeled x with entries 5, 6, 8, 8, 10, 11, 14, 15, 16, 18. The second column is labeled y with entries 8.9, 11.4, 13.6, 14, 15.3, 12.25, 22.1, 21.8, 20.8, 24.5. A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 24. A line increases from 0 to 17.
Which point is an approximate extrapolation for x = 30 from the line of best fit?
(23, 30)
(30, 38)
(44, 30)
(30, 72)
Answers
yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)
I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)
option B
Equation of Linear Regression line is
y=1.14 x + 3.805
so, (30,38) is an approximate extrapolation for x = 30 from the line of best fit.
What is line of regression?A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.
here, we have,
A line of best fit is drawn for the set of points shown on the graph.
from the given information,
we get,
for, x=30
y=1.14 × 30 +3.805
y=34.20 +3.805
y=38.005
y=38 (approx)
Equation of Linear Regression line is
y=1.14 x + 3.805
so, (30,38) is an approximate extrapolation for x = 30 from the line of best fit.
So, Ordered pair is , (30,38)
Option B
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Helllp please someone
Answers
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
Answer:
-920
Explanation:
To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:
-447 - 473
- (447 + 473)
-920
Therefore, the new dot was on -920.
Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)
1 50
2 45
3 40
4 35
The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:
Function 2
y = −6x + 50
Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
Answers
Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”
ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
Answers
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
Ram is 20 years old now, Ram's father is 40 years old now.
Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?
Answers
Answer:
She uses 7.5 feet of twine to make 3 bundles of wood.
Kiran says we should add the constraint 1 is greater than or less than 0
1. What is the reasoning behind this constraint?
-
2. What other "natural constraint" like this should be added?
Answers
Select two ordered pairs that satisfy the function y = –4x – 1.
Answers
I’m not sure if this helps
Answer:
(-0.25,0) and (0,-1)
Step-by-step explanation:
I used a graphing calculator.
Put function the the calculator
then ind two points on the function and that is your answer
Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5
Answers
Answer:
I got - 5 as an answer.
I don't think I made a mistake.
Please if you find any error, contact me in the comment section.
Step-by-step explanation:
[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %. This year the price is $17,635. Find the increase and the new price. The increase in the price of the car is $? (Round to the nearest cent as needed.) The new price of the car is $? (Round to the nearest cent as needed.)
Answers
Answer:
Increase: $969.93 New Price: $18,604
Step-by-step explanation:
I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.
The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches
Answers
A triangle is acute when c^2 < a^2 + b^2
If the coordinate of vertex A is (-2,4), then the coordinate of vertex A' is
(-2,-4)
(2,-4)
(2, 4)
Answers
Answer:
A' = (2,4)
Step-by-step explanation:
I know this because it's the opposite of (-2,4)
Answer:
(-2, -4)
Step-by-step explanation:
Help please! Will give brainly! Take a look at the figure below, which is made up of many small squares. How does each expression (A-D) represent the number of small squares in the figure? Explain?
Answers
Answer:
Step-by-step explanation:
A: Take 8*6 which build a rectangle, then take out 2*3 squares to create the same shape as in the picture
B: split the shape into two pieces, so one rectangle has the sides 4 and 8 and the rectangle has 2 and 5. Multiply the 4 with 8 and 2with 5 then add them together
C: Add the amount of squares in a layer one by one together
D: split the shape into 2 rectangles but instead of a horizontal split, do a vertical split so first rectangle has the sides 5 and 6 and the other has 3 and 4. Multiply 5 with 6 and 3 with 4 and add both results together
you may have to change the english a bit since english is not my first language
QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.
Answers
Answer:
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Step-by-step explanation:
Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:
PA + PB = 2a
PA = 2a - PB
PA² = 4a² + PB² – 4a ∙ PB
PA² – PB² = 4a² – 4a ∙ PB
[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB
-4hc = 4a² – 4a∙PB
a ∙ PB = a² + hc
Taking square
a² ∙ PB² = (a² + hc)²
a² [(h + c)² + (k - 0)²] = (a² + hc)²
a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²
a²h² – h²c² + a²k² = a⁴ – a²c²
(a² – c²)h² + a²k² = a² (a² – c²)
h²/a² + k²/(a² – c²) = 1
Therefore, the required equation to the locus of P is
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]