In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU

Answers

Answer 1

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

m∠EDA = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA =  29°m∠BAC = 21°[tex]m\widehat{ED}[/tex]  =  90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

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Related Questions

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.

Answers

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]

Therefore;

[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]

b = The cycle speed

The period, T, is given as follows;

[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]

The period of a block, T = 12 hours

Therefore;

[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]

[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]

[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]

At t = 0, H = The highest point = 10 ft.

Which gives;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]

[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5

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Express the following equation in slope intercept form: 8x-2y=10
please

Answers

Answer:

y=4x-5

Step-by-step explanation:

8x-2y=10

-8

-2y=-8x+10

-2= -2   -2

y=4x-5

As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?

Answers

The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

R = 4.29% = 0.0429

Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195

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Solve the following system of equations using the substitution method.

x = 2y
2x + 5y = 9

Answers

(2 x 2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1

From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have given system of equation

x = 2y

2x + 5y = 9

Using the substitution method

2(2y) + 5y = 9

4y + 5y = 9

9y = 9

y = 1

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Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.

(with explanation pls)​

Answers

Answer:

6 days

Step-by-step explanation:

2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.

Answer:

6 days.

Step-by-step explanation:

The 3 men can build 1/8 of a wall in 1 day.

So 1 man can build 1/24 wall in 1 day.

So 1 boy can build  1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.

So we have the equivalent of  4 men working and they can build 4 * 1/24

= 1/6 of a wall per day

So the answer is 6 days.

1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six

Answers

Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated

choose the unit that measures distance

A. Feet

B. Pounds

C. Ounces

D. A.M

Answers

Answer:

Feet

Step-by-step explanation:

help me please jfjfjd

Answers

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

what is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest

Answers

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8

Answers

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

please help me asap plz

Answers

Scale = 88 feet/5.5 inch = 16ft/inch or 16 feet = 1 inch Width = 76 feet x 1 inch/16 feet = 4.75 inches.

Unit rate is the conversion of one unit to another unit with its standard conversion.

The width of the gymnasium in the blueprint is 4.75 inches.

What is unit conversion?

Unit rate is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 100 m

1 m = 100 cm

1 feet = 12 inches

We have,

Gymnasium:

Length = 88 feet

Width = 76 feet ____(1)

Blueprint:

Gymnasium:

Length = 5.5 inches

This means,

88 feet = 5.5 inches

Divide both sides by 88.

1 feet = 0.0625 inches ____(2

The width of the gymnasium on the blueprint.

From (1) and (2)

76 feet

= 76 x 1 feet

= 76 x 0.0625 inches

= 4.75 inches.

Thus,

The width of the gymnasium in the blueprint is 4.75 inches.

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Help help help help help math

Answers

Answer:

8

Step-by-step explanation:

pls help it's due today​

Answers

Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

How to expand Expand 7n-3+1-2n

Answers

Answer:

5n-2

Step-by-step explanation:

collect like terms

-> (7n-2n)+(-3+1)

simplify

=> 5n-2

solve the following equation. Enter your answer as an integer, decimal or fraction.​

Answers

Answer:

x = 5 or × = -7/2

Step-by-step explanation:

I hope you get it good luck.


Serious help needed what is the domain and range

Answers

Answer:

domain: all real numbersrange: -1 ≤ y ≤ 5   or   -1 ≤ y < ∞

Step-by-step explanation:

The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.

__

The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...

the graph oscillates indefinitely between the values -1 and +5, orthe graph continues upward toward +∞

We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.

The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.

_____

Additional comment

The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.

Java 1
Question 20
What will be printed by the following code?

String str = "Have a nice day!";
System.out.println(str.length());

a. Have a nice day
b. 16
c. 13
d. Have
e. 4

Question 21
Examine this code:

String str = "Hello World!" ;

What is the index of the character 'W'?

a. 6
b. 7
c. 5
d. 8
e. 2

Answers

Answer:

Q20     b.16

Q21      a.6

Step-by-step explanation:

count charcters  Have a nice day!  ==16

Q21    why 6

because index start with 0 and not 1

just count

H ==> 0

e==> 1

l==> 2

.

.

W=>6

i need help with this!!!!

Answers

Answer: 2. 5.

Step-by-step explanation:

4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
No correlation

Answers

Answer:

Negative Correlation

Step-by-step explanation:

The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line

Answers

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS)

Answers

Answer:

but what if it is a virus?

Step-by-step explanation:

Answer:

isnt oit iron pick

Step-by-step explanation:

Help me Please no bots I need help

Answers

Answer:

  y = 2/3x + 3/2

Step-by-step explanation:

18 inches is 3/2 feet. 8 inches is 2/3 feet.

The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.

  y = 2/3x + 3/2

HELP!!!

‐6x – 1 = 23

Please do not just post the answer please explain how you got the answer. Whoever explains best gets brainliest!

Answers

1. Add the 1 to the 23 because if it's a negative you add and if it's positive you subtract and because you need x by itself
2. divide -6 to 24
3. x=-4

Answer:

-4

Step-by-step explanation:

23+1=24

24/-6=-4

Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP

Answers

Answer:

Definitions matched below with vocabulary words

Step-by-step explanation:

A number, a variable, or the product of a number and variable(s)

→ 3. term

A letter used to represent an unknown number

→ 4. variable

The number in front of a variable in a term

→ 1. coefficient  

A single term, multiple terms connected by an addition or subtraction sign

→ 5. expression

A number, a term containing no variables

→ 2. constant

h(x) = 4x + 3; Find h(1)

Answers

Answer:

h(1) = 7

Step-by-step explanation:

h(x) = 4x + 3

h(1) = 4(1) + 3

h(1) = 4 + 3

h(1) = 7

If 15 out of 25 students are boys,what percent of the class is made up of boys?

Answers

Answer: 6%

Step-by-step explanation:

Evaluate: 4.3 - (-2.7)

7

1.6

-1.6

-7​

Answers

Answer:

7

Step-by-step explanation:

That means 4.3 (2.7) = 7

The negative signs get removed because negative × negative = positive

The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?

Answers

Answer:

The value of the investment

Step-by-step explanation:

Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh

Answers

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

-8y + 1 = -9y. solve for y.

Answers

Answer: y = -1

Step-by-step:

-8y + 1 = -9y

Subtract 1 from both sides
-8y = -9y-1

Add 9y to both sides to isolate y
y = -1

Simplifying
8y + -1 = 9y

Reorder the terms:
-1 + 8y = 9y

Solving
-1 + 8y = 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
-1 + 8y + -9y = 9y + -9y

Combine like terms: 8y + -9y = -1y
-1 + -1y = 9y + -9y

Combine like terms: 9y + -9y = 0
-1 + -1y = 0

Add '1' to each side of the equation.
-1 + 1 + -1y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1y = 0 + 1
-1y = 0 + 1

Combine like terms: 0 + 1 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1
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