Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.
Answers
Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = [tex]\sqrt{80}[/tex]
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
Related Questions
Ralph ran 15 miles in 5 days. If he continues to run at this rate, how far would he be expected to run in 8 days?
Answers
3 * 8 = 24 miles
10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)
Answers
Answer:
6x+5
Step-by-step explanation:
2x-5+x-5=3x-10+2x+15=5x+5+x=6x+5
Answer:
8x + 10 is the expression for our perimeter
Step-by-step explanation:
2x -5 - x - 5 = x - 10. So the length of the right side is x - 10.
2x + 15 - x = x + 15, so the length of the other missing side is x + 15.
Now we combine like terms and simplify to get the perimeter
(2x -5) + (x) + (x-5) + (x+15) + (x-10) + (2x + 15)
Simplified we get 8x + 10 as the expression for our perimeter
find mFE arc measure
Answers
Question 5
FD = 63 • 2 or 126°. The reason for this is the fact that 63° is an inscribed angle.
DE is a straight line. A straight line measures 180°.
The measure of a circle is 360°.
FE = 360° - 180° - 126°
FE = 54°.
Remember: FE is a minor arc.
Understand?
Done!
Steven wants to buy a $500 bicycle. Steven has no money saved, but will be able to deposit $45 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $85 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? A.15 weeks B.11 weeks C.17 weeks D.13 weeks
Answers
Answer:
d! (hope this helps <33) also pls answer my question up !!
Step-by-step explanation:
Which graph shows a function and its inverse?
Answers
A graph depicts the inverse function with the help of a vertical line test. The lines passes through the origin and have a slope. The line y = x is a reflection of the original path.
Example: f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x). Reflecting over the y and x gives us the function of the inverse.Hence the option A is correct.
Learn more about the graph showing a function and its inverse.
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Suppose Ruth Ann has 4 routes she can choose from to get from school to the library and 6 routes from the library to her home. How many routes are there from Ruth Ann's school to her home with a stop at the library?
Answers
Answer:
ok i will help
Step-by-step explanation:
so she has 4 choices the first time. And each of those four branches off to 5 possibilities. so the answer is 4*5=20
Answer:
10 routes to her home with a stop at the library
What is 20% of $5?
do math
Answers
Answer: 1
Step-by-step explanation:
Find the area of a rectangle with a length of 5 feet and a width of 4 5/9 feet. Write the answer as a fraction and as a decimal. Use three consecutive points to show repeating decimals, if necessary
Answers
Answer:
22.7.....feet^2Step-by-step explanation:
Step one:
given data
we are told that the length is 5 feet
and also the width is given in fractional form as 4 5/9
let's convert to decimal 4+0.55= 4.555555555555555
the width is a repeating decimal hence width = 4.5...feet
Step two:
The expression for the area is
A= lenght * width
A= 5*4.5
A=22.7...feet ^2
The area of the rectangle is 22.7 feet^2
You are redecorating your room and you only have one wall left to paint. The length of the wall is 13.25 feet and the width of the wall is 9 ft. If the hardware store needs to know the area of the wall to determine how much paint you still need, what is the area that you will report to them?
Answers
Step-by-step explanation:
thx for da points v buzzed from dhrbd good
In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and
OP = (2x – 1) m.
Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.
What are the values of x and y?
x = 10 m, y = 1 m
x = 10 m, y = 2 m
x = 11 m, y = 1 m
x = 11 m, y = 2 m
Answers
Answer:
x = 11 m, y = 2 m ⇒ D
Step-by-step explanation:
In the parallelogram, diagonals bisect each other
∵ LMNO is a parallelogram
∵ OM and LN are its diagonals
∵ OM ∩ LN at point P
→ By using the fact above
∴ P is the mid-point of OM and LN
∴ OP = MP and LP = NP
∵ OP = MP
∵ OP = 2x - 1
∵ MP = 21
∴ 2x - 1 = 21
→ Add 1 to both sides
∴ 2x = 22
→ Divide both sides by 2
∴ x = 11 m
∵ LP = NP
∵ LP = y + 3
∵ NP = 3y - 1
∴ y + 3 = 3y -1
→ Add 1 to both sides
∴ y + 4 = 3y
→ Subtract y from both sides
∴ 4 = 2y
→ Divide both sides by 2
∴ 2 = y
∴ y = 2 m
Answer:
The answer is D
Step-by-step explanation:
I got it right on Edge
Write a mathematical sentence that expresses the information given below. Use g as your variable name. If necessary:type = to mean .The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.
Answers
Answer:
x=12
Step-by-step explanation:
x-9=3
basically 3 + 9=12 so 12-9=3
The mathematical sentence expresses the information.
g - 9 = 3
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.
The mathematical sentence expresses the information.
g - 9 = 3
Thus,
The expression is g - 9 = 3.
Learn more about expressions here:
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I don’t get this, can you guys help out?
Answers
Answer:
9 ÷ 3/2 = 6
21 ÷ 7/3 = 9
12/7 ÷ 2/7 = 6
4 2/3 ÷ 7/9 = 6
72/7 ÷ 8/7 = 9
4 1/2 ÷ 1/2 = 9
Answer:
6 9
1st 2nd
3rd 5th
4th 6th
is this a slope of 8/4
Answers
Answer:
Yes
Step-by-step explanation:
Help me please...
...
Answers
Answer:
The mistake is in the 1st to 2nd step
They did not distribute 4(7-13).
If they distributed properly, it would be 28-52 instead of 28-13.
Step-by-step explanation:
Two-thirds of a number plus 5 is greater than 12. find the numbers
Answers
Answer:
21
Step-by-step explanation:
Please make me brainliest and friend request me!
64 - (16/3)= 208/3
I need help understanding HOW the answer to this is 208/3. Please give an explanation ASAP!!
Answers
Answer:
64 - (-16/3) = 208/3
Step-by-step explanation:
I think the problem may be written incorrectly. For this to be correct, it must be 64- (-16/3) = 208/3.
To get 203/3 you have to find a common denominator because in order to subtract (or add) fractions, they must have the same denominator.
However, 64 does not have the same denominator as -16/3!!
We can write 64 as 64/1, and to give it the same denominator as -16/3, we need to multiply the denominator by 3
BUT we have to do the same thing to the numerator!!! We can't only change the denominator. If one changes, the other has to change too.
So lets multiply the numerator and denominator by 3. 64 x 3 = 192
1 x 3 = 3
Now we have 192/3
Subtracting a negative number is the same as adding. So instead we can write 192/3 + 16/3
Add 192 and 16 to get 208, so now you have 208/3
π=what
plz all the numbers of pie
the winner gets 100 coins and brainless
Answers
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do they share all together?
Answers
Answer:
22500000000
Step-by-step explanation:
75,000 times 300,000 equals 22500000000
A compound event may consist of dependent or independent events.
O A. True
O B. False
Answers
———————————
(offering alot of points) Solve: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
Answers
Answer:
3x^4 -2x^3 -2x^2 +4x -10
Step-by-step explanation:
Add them term by term
solve for x 4(x-167)=48
Answers
Answer:
x=179
Step-by-step explanation:
Answer:
x = 179Step-by-step explanation:
4(x - 167) = 48
4x - 4(167) = 48
4x = 4(167) + 48
x = 668 + 48
4
x = 179
what coefficient would you get for the x terms on the right side of 3x+15=2x+10+x+5
Answers
Answer:
x=0
Step-by-step explanation:
Answer:
Any real number.
Step-by-step explanation:
3x + 15 = 2x + 10 + x + 5
First, add like terms.
3x + 15 = 3x + 15
Subtract 15 on both sides.
3x = 3x
Divide 3 on both sides.
x = x
Since x equals x, you can give any value (any real number) to x.
Since 3x = 3x, you can say x = 1, meaning 3 = 3.
Or, you can say x = 8. 3x = 3x will be 24 = 24.
x can be any number.
Can anyone do it I did it, but I'm just checking:)
Answers
Answer: Um, maybe I agree with Mia actually?
Step-by-step explanation:
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answers
Answer:
A and D
Step-by-step explanation:
I took the assignment
Answer:
a, d
Step-by-step explanation:
Plz help me with math again am so bad at it
Answers
Answer:
B and E
Step-by-step explanation:
9 power 3 is volume
9 x 9 x 9 is volume
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125
Answers
Your answer is 24! If you work backwards and divide 120 by 5, you get 24. To check your work, multiply 24 by 5 to get 120. Hope this helps! Please mark brainliest and have an amazing rest of your day. Stay safe! xx
The number 24 divides 120 gives the Quotient 5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Quotient = 5
Dividend = 120
Divisor = x
So, Dividend = Divisor . Quotient
120 = x(5)
5x = 120
x= 120/5
x= 24.
Thus, the required number is 24.
Learn more about Algebra here:
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Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all of Selma's possible locker numbers?
Answers
Answer:
Possible locker numbers for Selma are: 3, 5 and 29
Step-by-step explanation:
First of all, let us have a look at the definition of a prime number.
A prime number is a number which is divisible either by 1 or the number itself.
No other number divides the prime number other than 1 and the number itself.
Now, let us factorize the given number 435 and let us observe the what all possibilities are there.
[tex]435 = 3\times 145[/tex]
Factorizing 145 further:
[tex]435 = 3\times 5\times 29[/tex]
No further factors are possible.
Therefore 3, 5 and 29 are the prime factors of 435.
So, the answer is:
Possible locker numbers for Selma are: 3, 5 and 29
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
see attached image below ♥
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answers
Answer:
I possibly think it is either 8 or 10 but I am sorry if I am wrong.
2. Write a function of the geometric sequence with a starting term of 10 and a common ratio of 4. Find the fourth term.
f(n) = 10 · 44-1, the fourth term is 640
f(n) = 2 . 10^-1, the fourth term is 1, 024
f(n) = 4.10^-1, the fourth term is 64 DI
f(n) = – 10. – 4n-1, the fourth is -128
Answers
Answer:last one pretty sure
Step-by-step explanation: sure
What is 47360 dividet by 2435
Answers
Answer:about 19.4496
Step-by-step explanation:
I used a calculator