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
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
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]
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:
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:
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)
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
Plzzzz help meee plzzzzzzz
Answers
Answer:
the answer is d
Step-by-step explanation:
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
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:
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]
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!
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.
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
1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224
Answers
Answer:
hhhhhhhhhhhhhh
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
I NEED HELP PLSSSSSSSSSSSSSSSSS
Answers
Answer:
#1 and #3
Step-by-step explanation:
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:
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
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.
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
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
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
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
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
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
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:
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
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
(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.
