Find the measure of arc DF (with an explanation of how to solve please!)

Find The Measure Of Arc DF (with An Explanation Of How To Solve Please!)

Answers

Answer 1

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°

Answer 2

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.

Learn more about an arc here: https://brainly.com/question/3401487


Related Questions

If a patient needs 30 days supply of tablet two tablets four times a day how many tablets with a patient need for discharge

Answers

Answer:

Total number of tablets needs to discharge = 240 tables

Step-by-step explanation:

Given:

Number of days tablet need = 30 days

Number of times per days need = 4 times

Number of tablet per time = 2 tablet

Find:

Total number of tablets needs to discharge = ?

Computation:

⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time

⇒ Total number of tablets needs to discharge = 30 × 4 × 2

Total number of tablets needs to discharge = 240 tables

which graph shows a function and it’s inverse ?

Answers

Answer: D.

Step-by-step explanation:

Trust me I been there

Graph B shows the functions and its inverse.

Graph with function and it’s inverse is to be determine.

What are functions?

Functions is the relationship between sets of values.

Here,
For graph  A,C, and D do not have axis of symmetry that why this option can be omitted it does not contain function with its inverse.
While graph B has axis of symmetry and equal and opposite 2 function that is graph b has function and its inverse.

Graph B shows the functions and its inverse.

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Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3 2 (3) + 6

Answers

2(3)+6

Explanation

2(3+3)=12


2(3)+6
6+6=12

Equivalent

Answer:

D

Step-by-step explanation:

What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 17

Answers

Answer: B. 17

The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.

Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.

Answer:

17

Step-by-step explanation:

It's the only number that repeats and I also took the test :)

PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!

Answers

What’s the question asking

Help please someone

Answers

Answer: 751 points

Step-by-step explanation:

454 + 297 = 751

Answer:

751

Step-by-step explanation:

-297 + 454 = 751

Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.

Can someone please help me answer this question?

Answers

Answer:

132.5 inches

Step-by-step explanation:

The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10

then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!

Answer:

Step-by-step explanation:

Triangle area

A=h_b*b/2

=8.5*10/2

=42.5in^2

Rectangle area

A=lw

=9*10

=90

Add all together

42.5+90

=132.5in^2

Plzzzzzz helpppp


What information is missing but is needed to solve this problem?


The community theater staged performances on Friday, Saturday, and Sunday. There were 357 people at Friday's performance and 422 at Sunday's performance. How many people attended Saturday's performance?



A)the number of people at Friday's, Saturday's, and Sunday's performances combined

B)the number of people at Friday's and Sunday's performances combined

C)the difference between the number of people at Friday's and Sunday's performances

D)the average of the number of people at Friday's and Sunday's performances

Answers

Answer:

a. the number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.

Answer:

A) The number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

We are looking for the amount of people who attended Saturday's performance, but only one of the answers contains anything about Saturday, which is A. All the information in the other 3 choices we already know, because we know the amount of people at both Friday and Saturday's performance, so we can do some simple math to figure it out.

2a+6=12 what does a equal a=? Please help.

Answers

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)

Answers

Answer:

17.8

Step-by-step explanation:

First:

put the equation together

(2x+3) * (x+2)=91

Secondly:

condense

parenthisis can be dropped and normal problem solving can be used.

5x+2=91

subtract 2 from either side of the =

this will give you 5x=89

next divide 5 from each side because it is multiplying the x

x=17.8

Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2

Answers

Answer:

B

Step-by-step explanation:

[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]

You can confirm this by working in reverse:

[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]

Hope this helps!

Answer:

(x−4)^2

Step-by-step explanation:

I did the test

Express the series using sigma notation. 6 + 9 + 12 + 15.

Answers

15

Σ  40

n=6

explanation; add all the numbers to get 40

6 is the first number and 15 is the last number

Answer: D on edg

Step-by-step explanation:

please help❤️

A cannonball shot from the top of a building
can be modeled by the following equation:
h = –16(t = 3)2 + 189

Answers

Answer:

nole entiendo preguntale atu profe

An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches

Answers

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12

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

It’s linear because it’s adding the same number each time.

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.

Learn more about function here:

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Can someone help me out?

Answers

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

A. 1/2
B. 2
C. 1
D. -2

Answers

Is the C

Because 3+(-1) = 2

2:2= 1

Answer:

C

Step-by-step explanation:

−2⋅f(−6)−7⋅g(−7) = ?

Answers

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11

How do you convert a decimal into a mixed number 10.5

Answers

Answer:

10[tex]\frac{1}2}[/tex]

Step-by-step explanation:

10.5 represents a whole number of 10 and a leftover .5 value.

.5 represents one half

the fraction for one half is 1/2.

leaving you with 10[tex]\frac{1}{2\\}[/tex]

It would be 10 1/2 because .5 represents 1/2 and u keep the 10 the same

15

Type the correct answer in each box. Use numerals instead of words.

This system of equations has been placed in a matrix:

y = 650x + 175

y= 25,080 - 120x

Column 1

Column 2

Column 3

Row 1

-1

Row 2

120

Reset

Next

Answers

The matrix representation of the system looks:

| -650   0 |

|   -1  120 |

To clarify, it seems you have provided a system of equations:

y = 650x + 175

y = 25,080 - 120x

Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.

Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.

Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.

Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.

Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.

Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.

for such more question on matrix

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AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest

Answers

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

Answers:

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

Step by step explanation:

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.

Answers

Considering the equation for the volume of a cylinder, it is found that the correct statement is:

A. The volume of cylinder X is less than the volume of cylinder Y.

What is the volume of a cylinder?


The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

It is answer B

Step-by-step explanation:

this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answers

Answer:

[tex]D = 1 - \frac{1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

[tex]Peat Moss = \frac{1}{4}[/tex]

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

[tex]D = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]D = \frac{4-1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years

This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.

Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?

Answers

Answer:

Which of the decimals in the problem should be represented as a negative rate?

2.2 mm/year

Which two factors should Ericka multiply to find the total variation in water level?

6.2 years and –2.2 mm/year

Step-by-step explanation:

2.2 is represented as a negative integer because the problem said the key word "fell."

You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.

Answer:

2.2 mm/year        6.2 years and -2.2 mm/year

The graph below models the height of a remote-control helicopter over 20 seconds during flight.


Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds

Answers

Answer:

2) 5 to 10

Step-by-step explanation:

The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.

Analyzing the intervals:

In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.

In the interval from 5 to 10 the height hardly changes.

In the interval from 10 to 15 the height changes more than in the previous interval (downward).

And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.

thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).

Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean of 62.5 lb and a standard deviation of 2.5 lb. Approximately how many of the Labrador retrievers weigh less than 65

Answers

I believe the normal distribution is symmetrical above and below

the mean.  That tells us that in this kind of distribution, the mean

and the median are the same number ... 50% of the population

is below it, and 50% is above it.

So if the female Labs' weight actually follows a 'normal' distribution

with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs

and 2,700 of them weigh less than that. 

The standard deviation doesn't matter.  

Having trouble with this? Can someone explain this to me please?

Answers

Answer:

D

Step-by-step explanation:

D is the correct ratio. If his heart beats 12 times in 10 seconds, then it will beat 72 times in 60 seconds/1 minute if you use the proportion. D is the only correct ratio because it shows 72 beats:1 minute.

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

How many triangles???

Answers

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation:

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