TRUE OR FALSE: Two chords in the same circle are congruent if and only if the associated central angles are congruent.
a. True
b. False
Answers
Answer:
Step-by-step explanation:
True
True, Because when, Two chords in the same circle are congruent if and only if the associated central angles are congruent.
Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
In geometry,
A chord is any line segment that join two points on a circle while a central angle a central angle is an angle between two radii in a circle.
Two chords are congruent if they measure the same length and this occur if and only if the associated Central angles are congruent.
Now, To understand this, focus on the figures below.
The lines in red are chords and A and B are central angles.
The chords will be congruent if and only if the associated Central angles are congruent, that is,
⇒ A = B
Hence, Two chords in the same circle are congruent if and only if the associated central angles are congruent.
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Related Questions
You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 77° between A and C. The distance between A and B is about 1.5 miles. How wide (in miles) is the river between A and C? Round your answer to the nearest tenth.
Answers
Answer:
Length of AC = 6.67 miles
Step-by-step explanation:
Given:
Angel between B and C = 90°
Angel between A and C = 77°
AB = 1.5 miles
Find:
Length of AC
Computation:
Using trigonometric laws
Cos 77° = Base / hypotenuses
0.225 = 1.5 / hypotenuses
hypotenuses = 6.67 miles
Length of AC = 6.67 miles
If triangle ABC has the following
measurements, find the measure of side c.
a = 10
b = 3
C = 15°
(Hint: c^2 = a^2 +b^2 - 2ab*cos(C) is law of
cosine)
Answers
Answer:
Measure of side C is 7.14
Step-by-step explanation:
In this question, we are to find the length of the side C.
To get this, we are to employ the use of the cosine formula.
Mathematically, this is calculated as;
c^2 = a^2 +b^2 - 2ab*cos(C)
Where; a = 10 b = 3 and c = 15 degrees
Plugging these values into the equation, we have;
C^2 = 10^3 + 3^2 -2(3)(10)Cos 15
C^2 = 100 + 9 - 57.96
C^2 = 51.04
C = √(51.04)
C = 7.14
Answer:
7.14
Step-by-step explanation:
In the equation, C = 8n + 25, C represents amount of money raised and n represents the number of pledges. How many pledges are needed to raise $850?
Answers
Answer:
103 pledges
Step-by-step explanation:
The equation we have here is;
C = 8n + 25
Now we need to find n given that c is $850
simply substitute for the value of c in the question
850 = 8n + 25
850-25 = 8n
825 = 8n
n = 825/8
n = 103.125
But since a pledge cannot be fractional, we can say that n = 103
What are the domain and range of f(x) = 2x - 4?
Answers
Answer:
y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph
Step-by-step explanation:
hemp somebody eas. need help
Answers
So your answer would be (3,4)
Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 =r−(− 5 8 )start fraction, 7, divided by, 10, end fraction, equals, r, minus, left parenthesis, minus, start fraction, 8, divided by, 5, end fraction, right parenthesis r =r=r, equals
Answers
Answer:
r = -9/10
Step-by-step explanation:
Given
7/10 = r - (-8/5)
Required
Solve for x
7/10 = r - (-8/5)
We start by opening the bracket
7/10 = r + (- -8/5)
7/10 = r + (8/5)
7/10 = r + 8/5
Subtract 8/5 from both sides
7/10 - 8/5 = r + 8/5 - 8/5
7/10 - 8/5 = r
Solve the fraction by taking their LCM
(7 - 16)/10 = r
-9/10 = r
Reorder the above
r = -9/10
Hence, the value of r is -9/10
Answer:
4(− 5/7 )
Step-by-step explanation:
In most linear programming problems, there are two stages:
1. to interpret the information given as a series of simultaneous
inequalities and display them graphically.
2. to investigate some characteristic of the points in the unshaded
solution set.
Example
A shopkeeper buys two types of cat food for his shop: Bruno at 40c
a tin and Blaze at 60c a tin. He has $15 available and decides to buy at
least 30 tins altogether. He also decides that at least one third of the
tins should be Blaze. He buys x tins of Bruno and y tins of Blaze.
a) Write down three inequalities which correspond to the above conditions.
b) Illustrate these inequalities on a graph.
Can someone help please (C) is the complete of the question ,the one that is in the photo, I would really appreciate yout anwers༼ つ ◕◡◕ ༽つ
Answers
Answer: Bruno = 16 cans, Blaze = 14 cans
Step-by-step explanation:
Part A gave you the three equations.
Part B showed you the intersected points --> (16, 14), (20, 10), & (21.4, 10.7)
Part C is giving you the Cost function: C(x, y) =0.10x + 0.20y
Input the intersected points into the Cost function to find the maximum.
C(16,14) = 0.10(16) + 0.20(14)
= 1.60 + 2.80
= 4.40
C(20,10) = 0.10(20) + 0.20(10)
= 2.0 + 2.00
= 4.00
C(21.4,10.7) = 0.10(21.4) + 0.20(10.7)
= 2.14 + 2.14
= 4.28
Of the three results we just found, 4.40 is the biggest value.
So, the maximum occurs at C(16,14) = 4.40
↓ ↓
Bruno Blaze
The expression means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is .
Answers
Answer:
10
Step-by-step explanation:
"three times r" = 3r
"three times r minus ten" = 3r - 10
"product of 5 and the difference of three times r minus ten"
= 5 (3r - 10)
given that r = 4,
the expression becomes
5 (3r - 10)
= 5 [3(4) - 10]
= 5 [12 - 10]
= 5 (2)
= 10
Can any one please help me to do this I really need help I don’t really know this if someone can help me please
Answers
explanation: if you plug in -2 into -3–7, you get -1, and if you plug -2 into 5(x-1) you get -18.
Answer:
No, the sides do not add up
Step-by-step explanation:
3*(-2)=-6
-6-7=-13, that's the left side.
5*(-2-1)=5*(-3)=-15
-13=/=-15
A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW
Answers
Answer:
3.53 inch
Step-by-step explanation:
area = 1/8 π r² with r=3 inch (half diameter)
= 9/8 π ≈ 3.534 inch²
Answer:
2.53 in,3.53 in
i hope this helps sorry if it doesn't
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answers
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
Answers
Answer:
b, d, e
Step-by-step explanation:
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Define Ellipse.An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Find out more information about ellipse here:
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What is 0.8x-x? I will give Brainliest to first answer!!
Answers
Answer:
-0.2 x
Step-by-step explanation:
=> 0.8x-x
Taking x common
=> x (0.8 - 1)
=> x (-0.2)
=> -0.2 x
Answer:
-0.2 xExplanation:
[tex]0.8x - x[/tex]
If a negative term doesn't have a coefficients, it is considered that the coefficient is -1.
[tex]0.8x - 1x[/tex]
Calculate:
[tex] = - 0.2x[/tex]
Hope this helps..
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answers
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
define the type of sequence 7, 14, 28, 56, 112
Answers
Answer:
This is a geometric sequence.
Plsss help What is the value of x in the equation 3/4 (1/4 x + 8) - (1/2 x + 2) = 3 /8 (4-x) - 1/4x?
Answers
Answer:
X=-8
Step-by-step explanation:
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
Answers
Solve for the value of x 3x + 8 = 2
Answers
Answer:
-2
Step-by-step explanation:
Answer: x = -2
Step-by-step explanation:
3x + 8 = 2
3x = -6
x = -2
5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1
Answers
Answer:
386.11
Step-by-step explanation:
32,860=€386.11
La presidencia municipal va a construir una banqueta que pase por el centro del parque y tiene una circunferencia de 270m. Cuanto medira esa banqueta
Answers
Answer:
You said: The municipal presidency is going to build a sidewalk that goes through the center of the park and has a circumference of 270m. How long will that bench measure? Your answer
Step-by-step explanation:
Area: r^r * 3.14
Circumference: 2r * 3.14
Simplify: -m(7m + 3) – 4m2
A. 12m+4
B. -11m2-3m
C. -11m2+6m
D.5 m + 4
Answers
Answer:
[tex] - m(7m + 3) - 4 {m}^{2} \\ - 7m^{2} - 3m - 4 {m}^{2} \\ - 11 {m}^{2} - 3m[/tex]
Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If Upper P (Upper E )plus Upper P (Upper F )equals Upper P (Upper E union Upper F )plus Upper P (Upper E intersect Upper F ), then E and F are mutually exclusive events.
Answers
Answer:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
Step-by-step explanation:
Given the statement
If [tex]P(E)+P(F)=P(E \cup F)+P(E \cap F)[/tex], then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
Write these fractions in order of size, smallest to largest.
1/3 1/4 2/5 5/6 3/10
Answers
Answer:
3/10 Smallest
2/5 I
1/4 I
1/3 V
5/6 Largest
Hope this helps :)
A package of 4 pairs of insulated gloves costs $26.76. What is the unit price of the pairs of gloves?
Answers
Answer:
Hey!
We have been given the price of $26.76. This is the price for 4 pairs of insulated gloves. But, we need to know the unit price.
Unit, means the price of one of those pairs of gloves. To find that we divide.
$26.76 ÷ 4 = 6.69.
But, this is NOT the answer. The answer HAS to have a dollar sign and an explanation.
Our final answer is:
It costs $6.69 for each pair of insulated gloves.
Thank you for your time. Good luck on your assignment!! :D
solve inequality for x
x/-4<16
Answers
The answer to this problem is x> -64
Step-by-step explanation:
[tex]x - 4 < 16 \\ x < 16 + 4 \\ x < 20[/tex]
x={...17,18,19}
Please help. I don't understand how to solve this problem.
Answers
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
Have a good day! :)
Find a formula for the general term of each of the following sequences a)7,13,19,25,31
Answers
Answer:
aₙ= 6n+1
Step-by-step explanation:
7,13,19,25,31
Given, AP with the first term of 7, and common difference of 6
Nth term:
aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis. Use exact numbers. y-9=y−9=y, minus, 9, equals
Answers
Answer:
y-9 = 17(x+7)Step-by-step explanation:
Given the points (-8, -8) and (-7, 9), the general form of equation of the line passing through this point is expressed as y-y1 = m(x-x1) where;
m = slope or gradient and (x1, y1) is the point
m = Δy/Δx = y₂-y₁/x₂-x₁
m = 9-(-8)/-7-(-8)
m = 17/1
m = 17
The slope of the line is 17.
The point-slope equation of the line through the point (-7, 9) is expressed as
y-9 = 17(x-(-7))
y-9 = 17(x+7)
Divide up the number 60 in 2:3:5 ratio.
Answers
Answer:
Step-by-step explanation:
help please Simplify (4^1/5)^5
Answers
Answer:
B. 4
Step-by-step explanation:
(4^1/5)^5
Apply law of exponents.
4^(1/5 × 5)
4^(5/5)
4^1
= 4
Answer:four
Step-by-step explanation:blah blah blah its correct:)