Answers
Answer:
Step-by-step explanation:
Circumcenter of A triangle is the center of a circle passing through the vertices of the given triangle.
So, the distance of Z from the vertices Q, R and S will be the radii of the circle.
Therefore, ZQ = ZR = ZS
Since, circumcenter of a triangle is defined by the point of intersection of the perpendicular bisectors of the sides of the given triangle.
Therefore, points W, X and Y are the midpoints of sides QR, RS and QS.
Using these facts,
a). QR = 2(WQ)
= 2(25)
= 50
b). Apply Pythagoras theorem in ΔRXZ,
(RZ)² = (RX)² + (ZX)²
(RZ)² = (40)² + (9)²
RZ = √1681 = 41
c). XS = [tex]\frac{1}{2}(RS)[/tex]
= [tex]\frac{1}{2}(80)[/tex]
= 40
d). Since, ZQ = ZR = ZS
ZS = 41
e). By applying Pythagoras theorem in ΔRWZ,
(RZ)² = (WZ)² + (WR)²
(41)² = (WZ)² + (25)²
(WZ)² = (41)² - (25)²
WZ = √1056
WZ = [tex]4\sqrt{66}[/tex]
≈ 32.5
Applying the circumcenter theorem and the Pythagorean Theorem, the following measures are calculated as:
a. QR = 50
b. RZ = 41
c. XS = 40
d. ZS = 41
e. WZ = 32.5
Based on the circumcenter theorem of a triangle, the following holds true given that Z is the circumcenter of triangle QRS:
RZ, QZ, and ZS are equal (circumcenter Z is equidistant from the three vertices of ΔQRS).The perpendicular bisectors divides the three sides, RS, QS, and QR into equal parts each.Points X, Y, and W are at right angles.Given:
RS = 80WQ = 25XZ = 9a. Find QR:
QR = 2 × WQ = 2 × 25
QR = 50
b. Find RZ in right ΔXRZ:
XZ = 9 (given)
XR = 1/2(RS) = 1/2(80) = 40
Apply Pythagorean Theorem to find RZRZ = √(XZ² + XR²)
SubstituteRZ = √(9² + 40²)
RZ = 41
c. Find XS:
XS = 1/2(RS) = 1/2(80)
XS = 40
d. Find RZ:
RZ = ZS = QZ = 41 (equidistant)
ZS = 41
e. Find WZ in right ΔWRZ:
WR = WQ = 25
WR = 25
RZ = 41
Apply Pythagorean Theorem to find WZWZ = √(RZ² - WR²)
SubstituteWZ = √(41² - 25²)
WZ = 32.5
Learn more about the circumcenter theorem on:
https://brainly.com/question/8055762
Related Questions
You want to pick two winning raffle tickets out of a hat and you are given two chances. Any blue
ticket wins $20. You are hoping to pick two blue tickets so you can win $40. Therefore, you define
picking any blue ticket as a success. If there are 4 blue tickets and 16 red tickets, what is your
probability of winning $40 (picking two blue tickets) if you choose without replacement?
Answers
Answer:
20% chance
Step-by-step explanation:
20 is the whole
5 times 20 is 100
5% = 1 ticket
5% times 4 is 20%
a cow heart beat 325 in 5 minutes. about how many times does a cow's heart beat in 2 minutes?
Answers
Answer:
130
Step-by-step explanation:
You can make a ratio - 325:5, then we can simplify it to 65:1, where we are comparing # of beats in 1 minute. Now, we can just multiply both sides by two, getting us 130:2, which is just 130 beats.
i need workings and answer to this question above.
Answers
Answer:
D.82km/hr
hope it helps
Someone pls help!!!???
Answers
Answer:
Its #3
Step-by-step explanation:
how many grams in 1.7x 10^7 ug
Answers
Answer:
17 grams
Step-by-step explanation:
6.8x+9.3= -9.4+3.4(2-5x)
Answers
Answer: the answer to this is x=0.5
Step-by-step explanation:
In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this - 34x/5 + 9.3= -9.4+3.4(2-5x)
The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them
Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions
also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5
so x= -0.5
Answer:
x=-0.5
Step-by-step explanation:
step 1
6.8x+9.3=-9.4+3.4(2-5x)
6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute
6.8x+9.3=-9.4+6.8+-17x
6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms
6.8x+9.3=-17x+-2.6
6.8x+9.3=-17x-2.6
step 2
add 17x to both sides.
6.8x+9.3+17x=-17x2.6+17x
23.8x+9.3=-2.6
step 3
subtract 9.3 from both sides.
23.8x+9.3-9.3=-2.6-9.3
23.8x=-119
step 4
divide both sides by 23.8
23.8x/23.8= -11.9/23.8
The answer is =-0.5
If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?
Answers
Answer:
It depends on where point D is placed so C > 0
Step-by-step explanation:
As i said above
We want to find the coordinate of C given that it is the midpoint of BD.
We know that B is at 0, so we can assume that each letter represents a position on the number line.
Then we can assume that D is located at a number different than zero, let's assume that D is located at the value d.
Then the segment BD goes from 0 to d, so its length is d.
Then the midpoint is at the middle, at d/2 plus the smallest value, 0:
C = d/2 + 0 = d/2
If you want to learn more, you can read:
https://brainly.com/question/2441957
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of the woodwind musicians play the saxophone?
Answers
18/45= .4 = 4/10*10/10= 40/100= 40%
7)
Which is the correct solution for the system?
3y = 6 - 2x
8x = 3y - 1
A)
5
and y =
B)
5
x = 2 and y =
win
C)
2
x = 3 and y =
12 /
UIN
x = 3 and y =
OM
Answers
Answer:
3y = 6 - 2 ( 0 ) take
x zero and find value of y
3y = 6 - 2 ( 0 )
3y = 6 - 0
3y = 6
both sides divide by 3
ans : y = 2
now we can find so the value of x
3y = 6 - 2x
3( 0 ) = 6 - 2x
when we find the value x we take y ( 0 ) zero
3 ( 0 ) = 6 - 2x
0 = 6 - 2x
0 + 6 = - 2x
6 = -2x
both sides divide by -2
ans or value of x is 3
Step-by-step explanation:
first
- find one of the values of x and y
two :
- when you solving this
take y ( 0 ) if you search / find the value of X
Please help! I’ll mark you as brainliest if correct!!!!
Answers
Answer:
20Step-by-step explanation:
The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)
y = x² - 20 = 1(x - 0)² + (-20) ⇒ k = -20<0
So it's shifted 20 units down.
what is 913 divided by 31
Answers
solve
log5(2)+log5(x)-log5(x-1)=log5(3)
Answers
Step-by-step explanation:
log5(2)+log5(x)-log5(x-1)=log5(3)
log5(2x) = log5(3)+log5(x-1)
log5(2x) = log5(3Xx-1)
2x = 3x-3
x= 3
Kai is looking for his first job as a pharmacy technician. He prepares for the job by memorizing household, metric, and apothecary abbreviations. In addition, he memorizes the methods for converting data between those measurement systems. Perform the following calculation using the ratio and proportion method. How many ounces (oz) are equal to 4 cups?
Answers
Answer:
Step-by-step explanation:
0.5: 4
pLZ NAME MEE THE brainliest thank u
Find the area of the right triangle.
Answers
Answer:
area is 28 units²
Step-by-step explanation:
find the area of the rectangle with sides 7 and 8 and divide it in half
A=7*8/2= 56/2=28
Question 8 (2 points)
15 is 25% of
Brank 1:
HELPPP MEEE
Answers
Answer:
15 is 25% of 60
Step-by-step explanation:
15 x 4 = 60
25% x 4 = 100%
Answer:
I think that might be 60
Step-by-step explanation:
Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?
Answers
Answer:
$16,525.53.
Step-by-step explanation:
A=Pe^rt
P=$12,000
r=0.04
t=8 years
Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?
Answers
Explain how to use the distributive property to find the product (3) ( 4 /1 5 )
Answers
Answer:
Reduce the expression, if possible, by cancelling the common factors.
the answer is 4/5 or 0.8 :)
Step-by-step explanation:
Answer:
Sample Response: Rewrite 3 ( 4 1/5) as 3 ( 4 + 1/5 ). Distribute the 3 to get 3(4) + 3 (1 /5 ) . Multiply to get 12 + 3 /5 . Then add to get 12 3 /5 .
The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?
a. (y−2)2=8(x−6)
b. (y−2)2=−8(x−6)
c. (x−6)2=−8(y−2)
d. (x−6)2=8(y−2)
Answers
Answer:
The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B
Step-by-step explanation:
Let us revise the standard form of the equation of a parabola
The standard form of the equation is (y - k)² = 4p(x - h), where
(h, k) is the turning point (h + p, k) are the coordinates of the focus x = h - p is the equation of the directrix
∵ The vertex of a parabola is (6, 2)
→ From the fact above
∴ h = 6 and k = 2
∵ The equation of its directrix is x = 8
→ From the fact above
∴ h - p = 8
→ Substitute the value of h to find p
∵ 6 - p = 8
→ Subtract 6 from both sides
∴ - p = 2
→ Multiply both sides by -1
∴ p = -2
→ Substitute the values of h, k, and p in the form above
∴ (y - 2)² = 4(-2)(x - 6)
∴ (y - 2)² = -8(x - 6)
∴ The equation of this parabola in standard form is (y - 2)² = -8(x - 6)
each small square in the graph paper represents 1 square unit. tap picture.
Answers
Answer: The answer is 96 square units.
Step-by-step explanation:
(Because it's 8 square units long and 12 square units wide. L x W = Area)
So you have to do 12 x 8 and you should get the answer 96 square units.
Consider a collection of envelopes consisting of 3 red , 3 blue , 1 green , and 2yellow . If three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope.
Answers
Answer:
The probability is 31/35
Step-by-step explanation:
Can I have some help plz
Answers
Answer:
t= a+7
2.3
Step-by-step explanation:It looks bad but the answer is t- a+7 and the 2.3 is right under the 2.3
A textbook costs $65.49 before tax. The tax on the textbook is 6.5% what is the total costs of the textbook
Answers
Answer:
65.49*0.065 = 4.26
Step-by-step explanation:
65.49*0.065 = 4.26
65.49+4.26 = $69.75
Answer:
$69.75
Step-by-step explanation:
65.49x6.5%= 4.26
65.49+4.26= 69.75
Don't forget your label!
Hope this helps!
-AxekickNebulite
At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?
Answers
Answer:
8,030.4
Step-by-step explanation:
Answer:
$287.04
Step-by-step explanation:
add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04
Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
Answers
The answer is 4,-3
Irfcdxsaacd d
Answer:
4,-3
Step-by-step explanation:
Convert 1.05 to a percent.
Answers
Answer:
105%
Step-by-step explanation:
you would just move the decimal 2 places to the right
I need help on this
Answers
Answer:
,b j,mbnlvj lcv
Step-by-step explanation:
nb ckhbv m
i just want want points sorry! :)
Enter the correct answer in the box.
An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles each direction. The air current going to the destination is
in the direction of the plane at 20 miles per hour. The air current traveling back to the starting point is against the plane at 20 miles per hour. Let
x represent the speed of the airplane, in mies per hour, when there is no wind.
Replace the values of a, b and c to create the equation that describes this situation.
Answers
Answer:
the anwser is x and it represents 350
Step-by-step explanation:
The speed of the airplane when there is no wind will be 116.67 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles in each direction.
The air current going to the destination is in the direction of the plane at 20 miles per hour.
The air current traveling back to the starting point is against the plane at 20 miles per hour.
Let x represent the speed of the airplane, in miles per hour, when there is no wind.
Then the speed of the airplane when there is no wind will be given by the average speed.
Then we have
x = (350 + 350) / 6
x = 700 / 6
x = 116.67 miles per hour
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
true or fales: a significant correlation indicates that changes in the values of one factie cause changes in the values of a second factor
Answers
Answer:
A significant correlation means that there is a significant (in a statistical point of view) correlation between two things.
Then a significant correlation means that we have a (measurable) correlation between the variables in our experiment.
Now, the factors are the variables that experimenters control during an experiment in order to determine their effect on the response variable, then having a positive correlation between two factors, means that when we change one, the other is also affected by the change in the first one.
Then the statement is true.
What is meant by the term observed frequencies (O)?
a. The frequencies found in the population
b. The frequencies that are hypothesized for the population being examined
c. The frequencies calculated from the null hypothesis
d. The frequencies found in the sample
Answers
Answer:
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
Step-by-step explanation:
Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.
Therefore, we conclude that
The term observed frequencies are found in the sample.Hence, option 'd' is correct.