The diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
Explain why segments AC, CB, BD, and AD are all the same length.
Answers
All the points are equidistant from the centre of line AB, therefore it is just the same triangle but rotated. I hope this help but I can show you on paper if you don’t understand that answer :)
All the segments AC, CB, BD, and AD are same in length because all are radiuses of the circles which have same dimensions.
What is a radius?Radius is the distance between circle center point and the point at its circumference.
In the given problem,
AC and AD are clearly the radiuses of the circle whose center is at point A (say first circle). Therefore these must be equal in length.
AC = AD
Similarly, BC and BD are the radiuses of the circle whose center is at point B (say second circle) . Therefore these are also equal in length.
BC = BD
Now you can observe that the first circle has a radius AB also which is equal to the radius of second circle i.e., BA.
∴ Both the circles has same radius length.
and
∴AC = AD = CB = BD
Hence all the segments which are nothing but the radiuses of both the circles must be equal.
To learn more about radius, refer to the link:
https://brainly.com/question/13449316
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Related Questions
Give the range of the set of ordered pairs for this discrete data:
(-8, 6),(2. 11),(7, 21), (9,-3)
Answers
Answer:
8,6 2,11 7,21
Step-by-step explanation:
easy peasy
what is equivalent to 3/6
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
1/2 is equivalent to 3/6 as well as 6/12 and other things just keep it same ratio
One metre of material costs Rx. Write an expression to show that 8 metres cost R116.
Answers
Answer:
8x = R116
x = R14.5
Step-by-step explanation:
1 metre costs = x
8 metres cost = 8x
8x = 116 is the required equationx = 116/8x = 14.5Answer is: R14.5
What is the value of the expression below when z =
6?
z² + 32-3
Answers
Answer:
65
Step-by-step explanation:
z=6
1) 6*6=36
2) 36+32=68
3) 68-3=65
Ned wants to buy a car that costs $22,000. He has $12,500 saved. How much more does he need?
Answers
Answer:
$9,500
Step-by-step explanation:
$9,500. Answer is found by subtracting the amount that he already has by the amount he must have in the end.
Can someone help me with number 23?
Answers
Answer:
See explanation
Step-by-step explanation:
It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).
When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.
This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.
For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]
HOWEVER:
[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]
We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])
Hope this helped!
Fadi earned money selling pies and cakes. For the pies, he made a profit of $250 with an expense of $5 per pie. For the cakes, he made a profit of $200 with an expense of $4 per cake. He sold the same number of pies and cakes.
Answers
Answer:
the answer is 50
Step-by-step explanation:
i took the test and guessed and got it right
18+343334333544/5
need help on other questions too
Answers
Answer:
68666866726.8
Step-by-step explanation:
how many planes of symmetry does a rectangular pyramid has?
Answers
Answer:
6
Step-by-step explanation:
Can you please help me
Answers
Answer:
-8
Step-by-step explanation:
The five identical factors of 32 are ...
2·2·2·2·2 . . . . . each 32^(1/5)
The negative product of 3 of them is ...
-(2·2·2) = -8 . . . . . . the value of -32^(3/5)
_____
As written, without parentheses, the minus sign is applied to the result of the exponentiation.
What is the second step to solving this equation?9x - 23 = 49ASubtract 23 from both sides.BMultiply both sides by 9.CDivide both sides by 9.DAdd 23 to both sides. What happens to the order of operations when you’re solving a two-step equation?
Answers
Answer: C
Step-by-step explanation:Answer:
C
Divide both sides by 9.
Alex's work for the following quiz problem is as follows: Is Alex correct? if it's incorrect, what is the correct solution?
Answers
Answer:
see explanation
Step-by-step explanation:
[tex]\sqrt{10}[/tex] and [tex]\sqrt{5}[/tex] cannot be simplified as they are already in simplest form.
Note that [tex]\sqrt{10}[/tex] + [tex]\sqrt{5}[/tex] ≠ [tex]\sqrt{15}[/tex]
Thus
2[tex]\sqrt{10}[/tex] + 5[tex]\sqrt{5}[/tex] ← cannot be simplified any further
if mBC= 24 ft, mAC = 2x+1, and the mBA=7x-4, what is the value of x?
Answers
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]BC = 24[/tex]
[tex]AC = 2x + 1[/tex]
[tex]BA = 7x - 4[/tex]
Required
Find x
The given parameters shows that A is a point on BC;
So:
[tex]BC = BA + AC[/tex]
Substitute values for BC, BA, AC
[tex]24 = 7x - 4 + 2x + 1[/tex]
Collect Like Terms
[tex]24 + 4 - 1 = 7x + 2x[/tex]
[tex]27 = 9x[/tex]
Solve for x
[tex]x = 27/9[/tex]
[tex]x = 3[/tex]
Answer:
x=3
Step-by-step explanation:
:)
plzz help if you can.. i'm confused
Answers
Answer: A
Step-by-step explanation:
If you look at the line segment, it states that EG is 12. Now, we add EF and FG to get the value of x.
6x-8+2(x+2)=12 [distribute]
6x-8+2x+4=12 [combine like terms]
8x-4=12 [add both sides by 4]
8x=16 [divide both sides by 8]
x=2
Now, we know that A is the correct answer.
Answer: The answer is A.
Step-by-step explanation:
Is 7/9 a rational number ?
Answers
Answer:
Yes.
Step-by-step explanation:
Rational numbers can be represented as fractions with integers. The denominator must not equal 0.
[tex]\frac{7}{9}[/tex] is already in this form. This means that it's a rational number.
Hope this helps.
Yes, 7/9 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.
In this case, 7/9 can be written as the fraction where the numerator (7) and denominator (9) are both integers. Since there is no division by zero, 7/9 qualifies as a rational number.
Rational numbers can be represented as terminating decimals or repeating decimals. When we divide 7 by 9, we get the decimal representation 0.777... where the digit 7 repeats infinitely. This is a repeating decimal, and it's still considered rational because it can be expressed as the fraction 7/9.
In conclusion, 7/9 is a rational number since it can be expressed as the fraction of two integers, and it can be represented as a repeating decimal.
To know more about rational number:
https://brainly.com/question/17450097
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Find the number that makes the ratio equivalent to 1:3. 12 : ?
Answers
Answer:
36
Step-by-step explanation:
Since 12 is the first number in the next ratio, multiply it by each number in the first ratio-
1*12=12
3*12=36
Answer= 12:36
Hope this helped
PLEASE HELP!! SOMEONE PLEASE HELP!! (17 points!!)
I need to turn it in soon!!
Answers
Answer:
a) squareb)(-3, 5), (2, 5), (-3, 0), (2, 0)Step-by-step explanation:
Refer to attached
a) ............................
This is a square of side length of 5
b) ............................
Applied rule
(x,y) → (x -3, y +2)New coordinates:
(-3, 5), (2, 5), (-3, 0), (2, 0)A coordinate grid is placed over a map. City A is located at (19,22). City B is located at (-7,-2). If City C is halfway between City A and City B, Where is City C located? What is the distance between City A and City C? (Round to the nearest tenth)
Answers
Answer:
City C location: (6,10)
Distance between City A and City C: √313 or 17.69
Step-by-step explanation:
Use midpoint formula: (x2 + x1)/2, (y2 + y1)/2
Plug in the numbers, this gives you (6,10)
Use distance formula to find distance between City A and City C.
√(x2−x1)^2+(y2−y1)^2
Plug in the numbers, this gives you √313 which is also 17.69
Calculate the area of given circles.Radius=3.5m
Answers
Answer: area = 38.48m
Step-by-step explanation:
Pi(3.5)^2
Pi(12.25)
38.48
figure b is a scaled copy of figure a. help?
Answers
PLEASE answer ASAP. THANK YOU
Answers
Answer:
< and [tex]\leq[/tex] and [tex]\neq[/tex]
Step-by-step explanation:
-7 is less than -4
-7 is less than -4, so less than or equal to works too. Because it is or, it works in this scenario.
-7 is also not equal to -4
Answer <
Step-by-step explanation:
Closer to zero
The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the larger number is
Answers
Answer:
9
Step-by-step explanation:
Let the two perfect cubes be x and y where x > y.
According to the given conditions:
[tex] {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9[/tex]
Thus the cube root of the larger number is 9.
Building and solving an equation, it is found that the cube root of the larger number is 9.
-------------------------
Examples of perfect cubes are 1, as [tex]1^3 = 1[/tex], 8, as [tex]2^3 = 8[/tex], 27, as [tex]3^3 = 27[/tex], and so on...We do not know the numbers, so they are called [tex]x^3[/tex] and [tex]y^3[/tex].Since the difference is 386, we have that:[tex]x^3 - y^3 = 386[/tex]
The cube root of the smaller number is 7, thus, [tex]y = 7[/tex], and now, it is possible to solve for x, and find the cube root of the larger number.[tex]x^3 - y^3 = 386[/tex]
[tex]x^3 - 7^3 = 386[/tex]
[tex]x^3 - 343 = 386[/tex]
[tex]x^3 = 386 + 343[/tex]
[tex]x^3 = 729[/tex]
[tex]x = \sqrt[3]{729}[/tex]
[tex]x = 9[/tex]
Thus, the cube root of the larger number is 9.
A similar problem is given at https://brainly.com/question/13161078
If ba - cd = b, which expression represents a? show your work
Answers
Answer:
a = cd + b / b
Explanation:
ba − cd = b
[ Step 1: Add cd to both sides ]
ab − cd + cd = b + cd
ab = cd + b
[ Step 2: Divide both sides by b ]
ab / b = cd + b / b
a = cd + b / b
Segment Addition Postulate: If PQ = x - 5, QR = 2x - 1, and PR = 21, find x. 3 points
Р
Q
R
D
17
Not enough information
Answers
Answer:
[tex] x = 9 [/tex]
Step-by-step explanation:
Given:
[tex] PQ = x - 5 [/tex]
[tex] QR = 2x - 1 [/tex]
[tex] PR = 21 [/tex]
Required:
Value of x
SOLUTION:
Point P, Q, and R are collinear, therefore:
[tex] PQ + QR = PR [/tex] (segment addition postulate)
[tex] (x - 5) + (2x - 1) = 21 [/tex] (substitution)
Solve for the value of x using the above equation.
[tex] x - 5 + 2x - 1 = 21 [/tex]
Combine like terms
[tex] x + 2x - 5 - 1 = 21 [/tex]
[tex] 3x - 6 = 21 [/tex]
Add 6 to each side of the equation
[tex] 3x - 6 + 6 = 21 + 6 [/tex]
[tex] 3x = 27 [/tex]
Divide each side by 3
[tex] \frac{3x}{3} = \frac{27}{3} [/tex]
[tex] x = 9 [/tex]
Does (3, 0) make the equation y = x true?
Answers
Hey there! I'm happy to help!
This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.
Have a wonderful day! :D
y=x
0=3
Now, is 3=0? No. So the equation is false
Hope this helps :)
Evaluate the expresssion |–12|–|8|.
Answers
|| means absolute value which is the distance from 0 the number is
Basically it’s the number but positive
So the answer is 4
Answer:
4
Step-by-step explanation:
The lines around the -12 and 8 is what we call absolute value. This means that whatever is in it, it will be positive. Knowing this the equation would be 12-8. This would give you 4.
solve the inequality T> L+D
Answers
Answer:
solving for t= t>d+l
For l= l<t-d
Then for d=d<t-l
Seven times the difference of y and one
Answers
Answer:
7(y-1)
Step-by-step explanation:
First find the difference ( subtraction) of y and 1
y-1
Then multiply by 7
7(y-1)
tyler wants to use $300 he has saved to buy a new guitar and join a music club. the guitar costs $140. the music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. tyler can afford the music club membership for ____ months, after which he will have ____ left.
Answers
rewrite 5 3/4 as an improper
Answers
Answer:
5 3/4= 23/4 in improper fraction
