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°
Learn more about circle theorems here:
https://brainly.com/question/25101481
There are 5 possible toppings for a burger - mustard, ketchup, mayonnaise, lettuce, and tomato. How many possible combinations?
Answer:
25
Step-by-step explanation:
Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are still 137 blackberries left to pick. Write an equation that models how many berries are left (y) after x minutes of picking. Write your answer as using numbers, letters, and symbols - do not use spaces.
137 - 16X = Y
Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:
137 - 16X = Y
Thus, for example, after 5 minutes the calculation would be as follows:
137 - 16 x 5 = Y 137 - 80 = Y 57 = Y
Learn more about maths in https://brainly.com/question/25989509
A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
62.8 ft
Step-by-step explanation:
Circumference = 2πr
2 * 3.14 * 10 = 62.8
write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%
What is the range of function g?
Answer:
C
Step-by-step explanation:
This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:
[tex]y \geq 2[/tex]
A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING
Answer:
0% chance
Step-by-step explanation:
there are no green marbles
Marbles no
red=4blue=6green=0There is no green marbles
So it will never occur(impossible event)
Probability is 0Simplify 30 ÷3 of [37-{30÷(13-20+12)}-26]
Explanation:
30 ÷3 of [37-{30÷(13-20+12)}-26]
= 30÷3 × [37-{30÷(25-20)}-26]
= 30÷3 × [ 37-{30÷(5)}-26]
= 30÷ 3 × [37-{30÷5}-26]
= 30÷3 × [ 37 - {6}-26]
= 30÷3 × [ 37-6 - 26]
= 30÷3 × [ 37 - 32]
= 30÷3 × [5]
= 30÷3 ×5
= 30÷15
= 2Ans.
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Evaluate. {3+ [-5 (2 – 4) : 2]} •3
https://brainly.com/question/25291236
Answer:
[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]
[tex] \rm \: The \: operation \: 'of'[/tex]
[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]
[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]
[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]
[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]
[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]
[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]
[tex]30 ÷3 [37-{6}-26][/tex]
[tex] \rm \: 30 \div 3\times [31 - 26][/tex]
[tex] \rm30 \div 3 \times 5[/tex]
[tex] \rm \: 10 \times 5[/tex]
[tex] \rm \: 50[/tex]
What is the correct answer?
Answer:
The first one:
Equation n+(n+1) +(n+2)=36
3n+3=36
the numbers are 11, 12,13
Step-by-step explanation:
So if you plug ll for n you get 36
So if you plug 12 in for in u get 39
Then in you plug 13 in for n u get 41
I hoped that helped
Answer: First option
The numbers are 11, 12, 13
11+12+13 = 36
===============================
Explanation:
Here's one way to solve for n
n+(n+1)+(n+2) = 36
3n+3 = 36
3n = 36-3
3n = 33
n = 33/3
n = 11
That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13
So the three numbers are 11,12,13
11+12+13 = 23+13 = 36 which confirms the answer
-------------
For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.
As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.
Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.
I’ll give 100 points
Answer:
cant even see the screen good
Step-by-step explanation:
2055
I think cuz when u substitute 170 min for x which is min and solve u get 2055
(feet) y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3 (round to nearest WHOLE number)
y = 2055 ft
hope this helps!
Write the equation of the line that passes through the point (4,5) and is perpendicular to the graph of y=2x-3
Hello there! :)
We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, make it negative, and flop it over:
2
-2
-1/2
So the slope of the line perpendicular to y=2x-3 is -1/2.
Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
Where
y1 is the y-coordinate of the point
m is the slope
x1 is the x-coordinate of the point
Now, let's plug our values into the equation:
y-y1=m(x-x1)
y-5=-1/2(x-4)
y-5=-1/2x+2
y=-1/2x+2+5
y=-1/2x+7
Hence, that is the equation of the line.
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
WILL GIVE BRAINLY, THANKS, AND 5 STARS
Answer:
C
Step-by-step explanation:
Long division
I hope this helps have a great day :)
Answer:
The answer is the last one
Step-by-step explanation:
Answer:
= 66 R 30
= 66 30/61
4056 divided by 61 equals
66 with a remainder of 30
Solution:
0 0 6 6
6 1 4 0 5 6
− 0
4 0
− 0
4 0 5
− 3 6 6
3 9 6
− 3 6 6
3 0
hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment
36.)B
37.)C
38.)C
39.)C
40.)A
hoped that helped :)
To prepare for a bake-off, Kim used 580 grams of flour each day for 2 weeks. How many kilograms did Kim use in those 2 weeks?
1 g = 0.001 kg
Answer:
below
Step-by-step explanation:
1 day = 580g
2weeks(14days)= 580×14g
= 8,120g
1g= 0.001kg
8,120g= 8,120 × 0.001(kg)
=8.12kg
please help! What is the remainder of the polynomial 2x3+7x2+2x+9 when divided by 2x+3
Answer:
3
Step-by-step explanation:
cool
Question in picture!!
Step-by-step explanation:
A. 4+(x-y)
B. 6+xy
C.( x.x.).y
hope it helps.
stay safe healthy and happy.
Answer:
A. 4+(X•Y)
B. 6×xy
C. (X•X)y
Thank You In Advance ;))
Answer:
17,984,000
Step-by-step explanation:
because it is
A new ferrari costs 213,054 how much would it cost after a 35% discount?
kinda need help fast
30 points
Answer:
138485.1
Step-by-step explanation:
35% of 213,054 = 74568.9
213,054 - 74568.9 = 138485.1
ANSWER 100 POINTS AND BRAINLY THIS IS MATH
Difference between relation and function?
Functions have unique range for each domain.Where as relation haven't.So
Check option A
2 is repeated in domain
Hence table A is a relation.
Table B is a function
How many fourth-fifths are in eight
Answer:
10
Step-by-step explanation:
8 ÷ 4/5 = 10
I hope this helps!!
(-1, 16), (-13, 6)
Write an equation in slope-intercept form.
help
Answer:
y=5/6x+101/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-16)/(-13-(-1))
m=-10/(-13+1)
m=-10/-12
simplify
m=5/6
y-y1=m(x-x1)
y-16=5/6(x-(-1))
y-16=5/6(x+1)
y-16=5/6x+5/6
y=5/6x+5/6+16
y=5/6x+5/6+96/6
y=5/6x+101/6
\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3
First make note of the domain of the left hand side.
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.
• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.
• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.
Now solve the equation. Taking the square of both sides of
√(7 + √(2 + √(x + 1))) = 3
yields
7 + √(2 + √(x + 1)) = 3² = 9
√(2 + √(x + 1)) = 2
Squaring both sides again gives
2 + √(x + 1) = 2² = 4
√(x + 1) = 2
And once more,
x + 1 = 2² = 4 ⇒ x = 3
The table below gives selected values for the differentiable and decreasing function f and it’s derivative. If f^-1(x), what is the value of g’(9)
According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.
By the inverse function theorem,
[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]
Which graph represents the solution set of -2y > 7x + 4?
The equation of a line in point-slope form is expressed as:
y = mx + b
m is the slope of the lineb is the y-interceptGiven the inequality -2y > 7x + 4, this can also be expressed as:
-2y > 7x + 4
y < -7/2x -4/2
y< -7/2x - 2
This shows that the line will be a dashed line and cuts the y-axis at y= -2
Learn more on inequality graph here: https://brainly.com/question/11234618
easy one for you folks. show work.
who ate more?
Answer:
regan ate more than maggie
Can someone help help me
Answer:
15π/2 ft
Step-by-step explanation:
Arc length is given by the formula ...
s = rθ . . . . . r = radius; θ = central angle in radians
A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...
s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft
WILL GIVE BRAINLIEST
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
[tex]11)\ m=-1,\ b=2\\\\y=-x+2\\\\12)\ m=-\dfrac{3}{2},\ b=3\\\\y=-\dfrac{3}{2}x+3\\\\13)\ m=3,\ y=-2\\\\y=3x-2\\\\14)\ y=\dfrac{3}{4},\ b=1\\\\y=\dfrac{3}{4}x+1\\\\15)\ m=\dfrac{1}{2},\ b=1\\\\y=\dfrac{1}{2}x+1\\\\16)\ m=-\dfrac{2}{5},\ b=0\\\\y=-\dfrac{2}{5}x\\\\17)\ m=-7,\ b=2\\\\y=-7x+2\\\\18)\ m=\dfrac{4}{3},\ b=-4\\\\y=\dfrac{4}{3}x-4[/tex]
19) and 20) you have in other your question.
Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
1. Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
2. Since the 8-inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8-inch pies, the second equation should be x = 2 y to balance the values.
3. The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.
Answer:
The number 3 is more accurate
Answer:
Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.
Step-by-step explanation:
Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?
Help Please Just solve the question below
Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.
Answer: 8.6
Step-by-step explanation:
8.57142857143 --> 8.6
