If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?
Answers
Answer:
C. 7 units
Step-by-step explanation:
The given parameters are;
The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units
The orientation of the radius and the chord = The radius is perpendicular to the chord
We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle
[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex] by reflexive property
The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]
ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)
[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB
Therefore;
ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency
Therefore;
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate
∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 × [tex]\overline{AB}[/tex]
∴ [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2
[tex]\overline{AB}[/tex] = 14/2 = 7
[tex]\overline{AB}[/tex] = 7 units.
Answer:
7 units
Step-by-step explanation:
Related Questions
There were 264 pieces of broccoli and 60% of them were covered in cheese how many of them were covered in cheese
Answers
Answer:
158.4 pieces of brocoli were covered in cheese
Step-by-step explanation:
nineteen students named lacrosse as there favorite sport. explain how to use the circle graph for the total number of students? 20% chosr swimming 42% chose volleyball and 38% chose laccrosse
Answers
The total number of students is 50
The number of students that named lacrosse as their favorite sport is given as:
[tex]Lacrosse = 19[/tex]
From the circle graph, 38% chose lacrosse.
So, the proportion of students that represent lacrosse is:
[tex]Lacrosse = 38\% \times Students[/tex]
Substitute 19 for lacrosse
[tex]19= 38\% \times Students[/tex]
Multiply both sides by 100
[tex]1900 = 38 \times Students[/tex]
Divide both sides by 38
[tex]50 = Students[/tex]
Rewrite as:
[tex]Students = 50[/tex]
Hence, the total number of students is 50
Read more about circle graphs at:
https://brainly.com/question/24461724
What is the distance between the following points?
Answer choices
A 9
B 10
C square root of 21
D square root of 58
Answers
Answer: 9 is incorrect the anwser is acactually D . The square root of 58
Step-by-step explanation:
what is the constant for 1000z + 800y
Answers
Answer:
No
Step-by-step explanation: they're is no constants they are both coeffitient because they are both numbers infront of the variable
Write the equation of a line that passes through the point (-1,2) that has a y-intercept of (0,-1).
PLS HELP QUICK I NEED TO UNDERSTAND THIS I HAVE A FINAL TMRW
Answers
Answer:
The equation of a line: y = ax + b
<=> 2= -a +b => a= b - 2 (1)
<=> -1=b (2)
from (1), (2) => b= -1; a = -3
Step-by-step explanation:
A coffee pot holds 3 quarts of coffee. How much is this in cups?
Answers
Answer:12 cups
Step-by-step explanation:
because 1 quart is equal to 4 cups multiply by 3
A bag of mixed nuts contains almonds and hazelnuts. There are
(6x + 13) nuts in this particular bag, and (3x - 7) of these are hazelnuts
Which expression represents the number of almonds in the bag?
Answers
Answer:
3x+20
Step-by-step explanation:
total nuts: 6x+13
hazelnuts: 3x-7
almonds expression:
6x+13-(3x-7)
=6x+13-3x+7
=3x+20
Given h(x)=-x+5, solve for x when h(x)=3. PLEASE I NEED HELP ILL GIVE BRAINLIEST.
Answers
[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]
The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange the
equation to highlight b, the base of the triangle, in terms of the area and height.
Answers
Answer:
A=B+H
Step-by-step explanation:
I rearange the letters and also I put a plus singe
Please Help
Identify the underlined place in 81.7277. Then round the number to that place.
Underlined place is 2/Two
hundredths; 81.72
thousandths; 81.73
thousandths; 81.72
hundredths; 81.73
Answers
Answer:
hundredths; 81.73
Step-by-step explanation:
If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.
Thirty-six members of the choir, or 30% participated in the talent show. How many total students are in the choir?
Answers
Which ratio is equivalent to the rate
8 meters
1 second
?
Answers
The ratio as a unit rate is 0.8 meters per second.
What is a Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The given statement is "8 meters in 10 seconds".
It can be written as:
= 8/10 meters per second
= 0.8 meters per second
Thus, the ratio as a unit rate is 0.8 meters per second.
learn more about ratio here:
brainly.com/question/13419413
#SPJ2
The Question attached here seems to be incomplete, the complete Question is
Write the ratio as a unit rate. 8 meters in 10 seconds.
A. 0.8 meters per second
B. 1.125 meters per second
C. 2 meters per second
D. 80 meters per second
You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches
Answers
Answer: 18 inches
Step-by-step explanation:
2 x 6 = 12 inches (wide)
3 x 6 = 18 inches (tall)
Which of the following is a true statement of the figure?
Answers
Answer:
1st one is correct
Step-by-step explanation:
please mark my answer in brainlist plz
Is that the right answer plzzzz help meee
Answers
Answer: Yes
Step-by-step explanation:
Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!
A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D.
Answers
The number of different possible passwords possible is 6760000
This is a question is the application of permutation. Permutation has to do with the arrangement.If a computer consists of 6 character computer password that is made up of 4 numbers followed by 2 letters, the total digits and letters present are 6The number of ways the passwords are possible is 10^4 * 26^2
10^4 * 26^2= 10000 * 676
10^4 * 26^2 = 6760000
Hence the number of different possible passwords possible is 6760000
Learn more on permutation here: https://brainly.com/question/25500566
Answer:
its D
Step-by-step explanation:
Two-Variable Statistics:Question 2
You obtain a correlation value of r = -0.744 when you
analyze the relationship between the time it takes
someone to swim a mile and her heart rate at the end of
the swim. Choose the word completes this interpretation
of the correlation value: The correlation between the time
it takes to swim and heart rate is ___ and ___
Answers
I NEED HELP PLSSSSSSSSSSSSSSSSS
Answers
Answer:
#1 and #3
Step-by-step explanation:
Identify the error and fix the mistake
Answers
Answer:
x = (9 ±√201) ÷ 12
Step-by-step explanation:
6x² -5x -9 = 0 ( rearranged)
a = 6 b = -5 c = -9
- - 9 = 9
-9² = 81 (the 81 must be positive, this is one error)
-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)
120 + 81 = 201
x = (9 ±√201) ÷ 12
A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.
After how many years will the computer have a value less than $1,000?
A. 1
B. 3
C. 7
D. 8
Answers
2000-200 = 1800
1800-180 = 1620
1620 - 162 = 1458
1458- 148.8 = 1309
1309 - 130.9 = 1178
1178- 117.8 = 1060.2
1060 - 106 = 954
= 7 years
The value of the car is $956.5938 after 7 years and this can be determined by using arithmetic operations.
Given :
A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.The following steps can be used in order to determine the total number of years will the computer have a value of less than $1,000:
Step 1 - The 10% of $2000 is $200. So, the value of the car after 1 year is $1800.
Step 2 - The 10% of $1800 is $180. So, the value of the car after 2 years is $1620.
Step 3 - The 10% of $1620 is $162. So, the value of the car after 3 years is $1458.
Step 4 - The 10% of $1458 is $145.8. So, the value of the car after 4 years is $1312.2.
Step 5 - The 10% of $1312.2 is $131.22. So, the value of the car after 5 years is $1180.98.
Step 6 - The 10% of $1180.98 is $118.098. So, the value of the car after 6 years is $1062.882.
Step 7 - The 10% of $1062.882 is $106.2882. So, the value of the car after 7 years is $956.5938.
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/25834626
1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224
Answers
Answer:
hhhhhhhhhhhhhh
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)
Answers
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
(08.06 MC)
Based on the graph, what is one solution of the equation f(x) = g(x)?
f(x)
(
g(x)
A x=-3.5
b x=-1
c x = 0.25
d x=-2
Answers
Answer:
A: X= -3.5
I just took the test, and I chose -1 and got it wrong and I looked back on the answer and that's what the answer said. Sorry if I was late, but good luck.
Express the ratio below in its simplest form.
72
:
36
Answers
72/36 divide by 36 = 2/1 = 2:1
Simplest form
[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]
Which numbers is divisible by 5,10 and 15.
A) 15
B) 20
C) 21
D) 34
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
Multiply and combine like terms to determine the product of these polynomials:
(2x + 3)(5x − 6)
Answers
Answer:
10x^2+3x-18
Step-by-step explanation:
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answers
Answer:
mC=mA - base angles of an isosceles triangle
mA=68
Plzzzz help meee plzzzzzzz
Answers
Answer:
the answer is d
Step-by-step explanation:
Evaluate the determinate:
I -6 -6 1 I
I 3 -5 -2 I
I 4 3 -3 I
Please show all work, I give Brainliest.! :)
Answers
Answer:
103
Step-by-step explanation:
detailed explanation is in the diagram above
find the perimeter of a regular pentagon with each side measuring 6cm.
Answers
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
