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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Please help me, you can see the parabola down below. Please.
Determine the equation of the parabola in Vertex Form. Work must be shown.
Answer:
let me check....
Step-by-step explanation:
how many solutions does x squared= 4x -5 have
Answer: There are no solutions
Answer:
Two
Step-by-step explanation:
x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.
All quadratics have exactly two roots/solutions.
In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.
Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.
Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find
Answer:
115
Step-by-step explanation:
They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.
180 - 65 = 115
I hope this helps!!
If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?
Answer:
2/3
Step-by-step explanation:
1/(3/4)=4/3(4/3)2.5
10 cups/=3.333
Write a system of linear inequalities represented by the graph.
Answer:
x=2 ,. y=y -3
Step-by-step explanation:
I hope it helps
The equations of the lines given in the graph will be y = 3x and y =-5x -2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
For line one the points are:-
( 1,3 ) and ( 0,0)
Slope = ( 0 - 3) / ( 0 - 1 )
Slope = 3
The equation will be,
y = 3x
For line two the points are:-
(-1,3) and (0,-2),
Slope = ( -2 - 3 ) / ( 0 + 1)
Slope = -5
The y-intercept will be,
y = mx +c
c = -2
The equation can be written as:-
y = -5x - 2
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helpppppppppppppppppppppp plzzzzzzzzzzzzzz
Answer: x= -2, y= 3
Step-by-step explanation:
3x+5y=9
X-y=-5
Multiply bottom equation by 5
3x+5y=9
5x-5y=-25
3x + 5x=8x
5y-5y cancels out
9-25= -16
8x= -16
X= -2
Plug -2 back into equation of choice to find y
3(-2)+5y=9
-6+5y=9
Add -6 to both sides
-6+6 cancels
9+6=15
5y=15
Y=3
Ok so 0.5 x 10^5 = ? What is the answer? The 5 is little and its on top please i don't know how to explain.
Answer:
50,000
Step-by-step explanation:
The little 5 is called an exponent, so it would be 0.5*10^5.
Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand
You can answer the ones you want to. At least one.
Have no idea how to do this. Please help I beg you.
Answer:
Step-by-step explanation:
5a.) It starts with two at time one and increases by one each time
5b.) x+1
6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3
7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time
7b.) 2n+1
8a.) x²
8b.) just draw a 6x6
8c.) 12²=144
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
For 8 b, draw 36 squares and for 8 c, it would be 144:)
While moving up on the rope-way, I noticed that the seat place in the opposite direction was numbered as 95. Behind it was number 0, then 1, 2 and so on. My seat place was numbered as 66. What number should I meet when I am in the middle of my one-way route?
The seat in the middle of the one-way route is 34
The seats are given as:
[tex]First= 0[/tex] --- the first seat behind the seat number 95
[tex]Last= 66[/tex] --- my seat
The seat number half-way would be:
[tex]Half = \frac{Last - First}{2} + 1[/tex]
This gives
[tex]Half = \frac{66- 0}{2} + 1[/tex]
Subtract 0 from 66
[tex]Half = \frac{66}{2} + 1[/tex]
Divide 66 by 2
[tex]Half = 33 + 1[/tex]
Add 33 and 1
[tex]Half = 34[/tex]
Hence, the seat in the middle of the one-way route is 34
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There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?
Step-by-step explanation:
72 apples.
38 red, and therefore 72-38 = 34 green.
46 have worms, therefore 72-46 = 26 have not.
and so, in the best case you have 26 green apples without worms.
how to calculate $15 with a 40% off
Answer:
15 x 0.40=6
so subtract 6 from 15, and you have $9.
Hope this helps!
Answer:
$9 is correct
Step-by-step explanation:
$15 x 60% is $9
to find 60% you use 100%-40% equals 60%
does this make sense?
60 devided by n=12 wwwwwwwwwwwwwww
Answer: N IS 5!!
Step-by-step explanation: TRUST ME IM GOOD AT MATH!!!!
Answer:
60 ÷ 5 = 12
So I guess 5 is the answer your looking for?
Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?
31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part
Divide £520 in the ratio 6:7
The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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If TU = 6 units, what must be true?
O SU + UT = RT
O RT + TU = RS
© RS + SU = RU
TU + US = RS
Answer:
SU + UT = RT
Step-by-step explanation:
Given that TU = 6 units, RT = 12 units and RS = 24 units.
So,
For finding US, we will subtract the length of RT and TU from RS.
US = RS - RT - TU
US = 24 - 12 - 6
US = 6 units
Putting all the given values in the given conditions, we get the first option right, which is:
SU + UT = RT
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the value of the expression
3-4 ?
Answer:
[tex]3 - 4 = 1[/tex]
✨✨
3-4
you just need to subtract 3 from -4
so , your answer is -1
Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
evaluate each expression if r=12 s= -4 t= -6
rs divided by 16
Answer:
-3
Step-by-step explanation:
r = 12
s = -4
t = -6
Equation
rs ÷ 16
12(-4) ÷ 16
-48 ÷ 16
-3
The value of the expression rs ÷ 16 at r = 12, s = -4, and t = -6 will be negative 3.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ rs ÷ 16
The value of the expression at r = 12, s = -4, and t = -6 will be given as,
⇒ [12 × (-4)] ÷ 16
Simplify the expression, then we have
⇒ [12 × (-4)] ÷ 16
⇒ - 48 / 16
⇒ - 3
The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.
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JK
Solve the inequality d + 6 < 13 for d.
Answer:
[tex]\huge\boxed{\sf d < 7}[/tex]
Step-by-step explanation:
Given inequality is:
d + 6 < 13
Subtract 6 to both sides
d < 13 - 6
d < 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?
What’s the Pythagorean therorimm
Answer:
38.29 i think
Step-by-step explanation:
please ignore the work below it!! i am pretty sure it’s wrong!!
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.
I NEEEEED HELP AND QUICK T~T
Answer:
5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr
Step-by-step explanation:
5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.
6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.
7. Alternate exterior, same as #1
8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines
9. Corresponding since they are at the same place on the 2 parallel lines.
determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)
Answer:
C. (2, 7)
Step-by-step explanation:
It is fairly easy to try the offered points in the equations to see which works.
A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3
__
B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6
__
C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3
(2, 7) is a solution to the system of equations.
_____
If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.
2x -y = -3
3x -y = -1
Subtracting the first from the second gives ...
(3x -y) -(2x -y) = (-1) -(-3)
x = 2 . . . . . matches choice C
Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?
Answer:
785 almonds
Step-by-step explanation:
157 x 5 = 785
Identify the domain of the exponential function shown in the following graph :
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
