When the chords intersect inside the circle the sum of the vertical angles and the sum of the referenced arcs are the same. Since the vertical angles are congruent, each is half the sum of the referenced arcs.
Similarly when the chords intersect outside the circle, the angle is half the difference of the arc measures.
It's the same with a tangent; in that case there's just not a part of the arc that's not counted on the side with the tangent.
OK, that's how. Let's try some.
1. x = (88 + 86)/2 = 87
2. x = (150 - 60)/2 = 45
3. The angle is exactly half the subtended arc,
x = 110/2 = 55
4. The referenced arc is 360 - 220 = 140 degrees and x is half, 70.
5. Outside, half the difference, x = (90-20)/2 = 35
6. Angle outside, inner arc 6 degrees, vertical angle is 90 degrees.
90 = (x - 6)/2
180 = x - 6
x = 186
7. There's a special rule for this case but we can treat it as outside, little arc x, big arc 360-x,
60 = (360 - x - x)/2
120 = 360 - 2x
2x = 240
x = 120
8. Inner arc x, outer arc is 360-140-x = 220-x. Half the difference is 38,
38 = (220 - x - x)/2
76 = 220 - 2x
2x = 220 - 76
x = (220 - 76)/2 = 72
9. x is formed by a tangent and a radius, so a right angle, x=90
y is subtended by a 35 degree angle so y=70
10. Remaining triangle angle is 180 - 62 - 28 = 90. Arc that subtends it is double, 180. That means the long side is a diameter.
11. Remaining triangle angle is 180 - 50 - 70 = 60. x=120, y=100, z=140
12. Remaining arc 360 - 170 - 90 = 100. Angles are half.
x=45, y=50, z=85
Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £192 per week, how much money does he have left?
please help me
Answer:
£24
Step-by-step explanation:
3/4 + 1/8 = 7/8 of his money spent
8/8 - 7/8 = 1/8 of his money left
1/8 times £192 = £24 left
If you multiply x to the second power by x to the seventh power, what is the product?
Answer:
x to the ninth power
Step-by-step explanation:
if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard
Answer: 31.4
Step-by-step explanation:
The circumference formula is 2πr
In this case, the r is equal to 5
5×2 is 10
10π
Plug that into a calculator
31.4
Find the area of the figure.
Answer: 13300
Step-by-step explanation:
help plz help plz help plz help plz
Answer:
Step-by-step explanation:
21. 136° and b are supplementary, meaning they have a sum of 180°. This means that 136° + b = 180° → b = 44°.
22. Again, the angles are supplementary which means that 61° + b = 180° → b = 119°.
23. Again, they are supplementary which means that x - 22° + 135° = 180° → x + 113° = 180° → x = 67°.
24. I'm pretty sure you get the gist of this. 6x + 3° + 87° = 180° → 6x + 90° = 180° → 6x = 90° → x = 15°
Hope this helps!
Answer:
139o
Step-by-step explanation:
what two numbers multiply to -42 and add to 19
Answer:
-2 x 21 = -42
21 + (-2) = 19
Step-by-step explanation:
Answer:-2 and 21
Step-by-step explanation: -2+21=19 and -2*21=-42
Maria drew a shape with four sides. The shape had one pair of parallel opposite sides. What kind of shape did Maria draw? Write the name of the shape.
Answer:
Marie could have drawn a parallelogram or A trapezoid
Step-by-step explanation:
one pair of parallel opposite sides.
A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.
x1: Rate of hay fever per 1000 population for people under 25
144 89 119 119 125 136 91 109 111 108 116 123 120 121 115 123
A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old.
x2: Rate of hay fever per 1000 population for people over 50
109 109 90 81 85 94 92 106 110 89 87 94 100 90
Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use α =0.05. If , will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α?
a
Since the P-value is less than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis.
b
Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
c
Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis.
d
Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis.
e
Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
Answer:
x8 9x
Step-by-step explanation:
Which item has the most volume?
A. A grape
B. A ping-pong ball
C. A basketball
D. A tennis ball
ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.
Answer:
Plug the ordered pair (2,5) into the given equation, if it makes the equation true, then it is a solution.
Step-by-step explanation:
y = 2x + 3
substituting : 5 = 2(2) + 3
5 = 4 + 3
5 = 7, this is false, therefore (2,5) is NOT a solution
Answer:
A linear equation's solution would be a coordinate when the value of x and y satisfies the equation.
For Example:
[tex](1,7)[/tex] will be a solution to the equation [tex]y=3x+4[/tex], because if you replace x and y with one and seven it satisfies the equation.
[tex]y=3x+4\\y=7 \\x=1\\\text {Solve: }\\7=3(1)+4\\\rightarrow3*1=3\\7=3+4\\\boxed {7=7}[/tex]
[tex](1,7)[/tex] also lies on the equation's line.
Brainilest Appreciated.
which statements about the graph of the function y=(1/3) are true ?
Answer:
it has zero slope
y intercept is 1/3
graph is parallel to x-axis
Use the data set $19, $18, $15, $17, $19, $12, $19, and $15. Which measure of center would you use to convince people that the prices are high?
F. mean G. median
H. mode
I. none of these
Answer:
H. Mode: 19
Step-by-step explanation:
12, 15, 15, 17, 18, 19, 19, 19
Mean: 12 + 15 + 15 + 17 + 18 + 19 + 19 + 19 = 134/8 = 16.75
Mode: 19
Median: 17.5
The solution to ? Is m= 1.
A). m + 2 = 1
B). m + 1 = 3
C). m + 1 = 2
D). m - 2 = 1
Answer: C
Step-by-step explanation:
not A because m=1 so 1+2 doesn’t equal 1.
Not B because m=1 and 1+1=2 not 3.
Not D because m=1 and 1-2= a negativ.
C because m=1 and 1+1=2 like shown for C.
Sorry if I’m wrong.
PLEASE HELP ME OUT! i need to get this!
Answer:
C
Step-by-step explanation:
The expression 1 + tan² x is equivalent to
Answer:
= sec² (x)
i dont know if it is correct.
what is the solution to the equation -3d/d^2-2d-8+3/d-4 = -2/d+2
A. d = -4 and d = 2
B. d = -2 and d = 4
C. d = 1
D. d = 2
Answer: its C d=1
Step-by-step explanation:
im right
2a+3/2 - a-2/3 = a-1/4
Answer:
No solutions
Step-by-step explanation:
[tex]2a+\dfrac{3}{2}-a-\dfrac{2}{3}=a-\dfrac{1}{4}\\a+\dfrac{5}{9}=a-\dfrac{1}{4}\\\dfrac{5}{9}=\dfrac{1}{4}[/tex]
This equation has no solutions. Hope this helps!
Answer:
No solution
Step-by-step explanation:
2a+3/2 - a-2/3 = a-1/4.
2a- a +3/2 - 2/3 = a-1/4. Add like terms
a + 5/6 = a - 1/4. Variables and numbers on diferent sides
-a. -5/6. -a. -5/6
0 = -13/12
No solution because there are no a's that can make the equation true
This table shows covalent compounds being investigated by five scientists. Each scientist wants to give a chemical name to the compound.
Which scientist(s) incorrectly named her compound? Check all that apply.
Adele
Ethel
Kate
Audrey
Halley
Answer:
Adele
Ethel
Kate
Audrey
Step-by-step explanation:
i know that oxygen is correct so thats my answe
Answer:
Audrey and Ethel
Step-by-step explanation:
It was on edge 2023
Identify the function represented my the graph
Answer:
b
Step-by-step explanation:
I need someone help ASAP
Answer:
The first one is correct
8/3
The volume formula for a right pyramid is V=
= Bh. What does Brepresent?
O A. Area of the base
B. Perimeter of the base
C. Length of the base
O D. Volume of the base
Answer:
A.Area of the base
Step-by-step explanation:
these is obtained by multiplying the length and width of the base to get the area of the base
The variable B in the Formula is area of Base.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Pyramid volumes are measured by how much space they take up or by how many unit cubes can fit inside of them. A pyramid is a polyhedron because it has polygonal faces.
As, Volume of pyramid = (1/3) (Bh), where
B = Area of the base of the pyramid
h = Height of the pyramid.
So, B in the Formula is area of Base.
Learn more about volume here:
https://brainly.com/question/24086520
#SPJ7
Which expression is not equivalent to the other expressions?
will mark as brainliest
A) -6(2 x - 4)
B) -(12 x - 6) + 18
C) -3(4 x - 3) + 15
D) -4(3 x + 6)
Answer:
D) -4(3x + 6)
Step-by-step explanation:
Check:
Distribute the term outside the parenthesis (directly next to it) to all terms within the parenthesis:
A) -6(2x - 4) = (-6 * 2x) + (-6 * -4) = -12x + 24
B) -(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24
C) -3(4x - 3) + 15 = (-3 * 4x) + (-3 * -3) + 15 = -12x + 9 + 15 = -12x + 24
D) -4(3x + 6) = (-4 * 3x) + (-4 * 6) = -12x - 24
~
15 points
Help!!
If Sue worked 7 1/4 hours on Monday, 3 hours on Tuesday, 6 3/4 hours on Wednesday, 8 hours on Thursday, and 5 hours on Friday, calculate her weekly wage at $4.10 per hour
Answer:
$123
Step-by-step explanation:
Let's find the total amount of hours Sue worked. To do so, we'll do 7.25 + 3 + 6.75 + 8 + 5 = 30 total hours. Now, we'll multiply 4.1 by 30 because she receives $4.10 for every hour. 4.1 * 30 = $123. Hope this helps!
A line with a slope of 7 and an x-intercept of 4 passes through which of the following points?
A. (4,9)
B. (-3,7)
C. (3,-7)
D. (3,7)
A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount?
Divide the sale price by the original price:
56 / 89 = 0.7
Multiply by 100:
0.7 x 100 = 70%
The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)
Will mark brainliest PLEASE HELP!!! 20 points
The coordinates of point A are (6,2).
The coordinates of point B are (2, 6).
Line AB is transformed to form line A'B' shown in the graph:
What is the transformation of line AB that results in line A'B'?
Line AB is
A reflected across the y-axis
B reflected across the x-axis
C rotated 180°
D translated
Answer:
B. reflected across tge x axis
Answer:
The answer is B
Step-by-step explanation:
You have a job at McDonald's that pays $6.25 working part-time. Write and solve an
inequality to find out how many hours you must work to earn at least $250.
Leave an explanation thx!
Answer:
40 hours of hard work
Step-by-step explanation:
250 / 6.25 = 40
6.25(40) = 250
A circle has a radius of 3. An arc in this circle has a central angle of 340°. What is the length of the arc?
Answer:
hi
Step-by-step explanation:
Why did donald trump take a hump on a speed bump
Answer:
Because he's an idiot
Step-by-step explanation:
Answer:
Because...
Step-by-step explanation:
he's our wack president
Andrea bought 12 bagels and 10 muffins at the bakery. of these items 2/3 of the bagels were multigrain and 3/5 of the muffins were bran muffins. How many multigrain bagels did Andrea buy and how many bran muffins did Andrea buy
Answer:
She bought 8 multigrain bagels and 6 bran muffins
Step-by-step explanation:
If it says of, then it means multiply.
So it is 2/3 of 12 bagels, which is 2/3 x 12 which is 8
If it says 3/5 of 10 muffins, it is 3/5 x 10 which is 6.