Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.

Consider In The Figure Below.The Perpendicular Bisectors Of Its Sides Are , , And . They Meet At A Single

Answers

Answer 1

Let's solve

in ∆GNK

GN=130GJ=94GK=GJ/2=47

Apply pythagorean theorem

[tex]\\ \sf\longmapsto NK^2=GN^2-GK^2=130^2-47^2=16900-2209=14691[/tex]

[tex]\\ \sf\longmapsto NK=\sqrt{14691}[/tex]

[tex]\\ \sf\longmapsto NK=121(Approx)[/tex]

If you observe the traingle

GN=NJ=130

[tex]\\ \sf\longmapsto LJ^2=JN^2-LN^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=130^2-78^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=16900-6084[/tex]

[tex]\\ \sf\longmapsto LJ^2=10816[/tex]

[tex]\\ \sf\longmapsto LJ=\sqrt{10816}[/tex]

[tex]\\ \sf\longmapsto LJ=104[/tex]

LH=LJ =104

So

in ∆HNL

[tex]\\ \sf\longmapsto HN^2=104^2+78^2[/tex]

[tex]\\ \sf\longmapsto HN^2=10816+6084[/tex]

[tex]\\ \sf\longmapsto HN^2=16900[/tex]

[tex]\\ \sf\longmapsto HN=\sqrt{16900}[/tex]

[tex]\\ \sf\longmapsto HN=130[/tex]

Done .


Related Questions

2781271 x 89 will give brainliest!!!!!

Answers

Answer:

2781271 x 89 = 247,533,119

Step-by-step explanation:

hope this helps

Answer:

247533119

hopes this helps

suppose that f(x)=x^2 and g(x)=2/5 x^2. which statement best compares the graph of g(x) with the graph of f(x)

Answers

Answer:

does it have a picture

Step-by-step explanation:

Which expression is equivalent to 5x+2x+3?

Answers

Answer:

7x+3

Step-by-step explanation:

Answer:

7x + 3

Step-by-step explanation:

Combine like terms. Like terms are terms that have the same amount of the same variable. In this case, add 5x with 2x:

5x + 2x + 3

(5x + 2x) + 3

7x + 3

7x + 3 is your answer.

~

There are 342 calories in six ounces of a certain ice cream. How many calories are
there in two pounds?

Answers

There are 1368 calories in 2 pounds of the ice cream.

Explanation:
342 per hlf lb so 2 lb’s is 4 times that, or 1368/2lb
Hope this helps!

Answer:

Your answer is 114.

Step-by-step explanation:

Since theres 342, and 6 pounds try to see what each pound equals first. Try to divide 342 in half, which gets you 171 one third of 171 is 57. So your answer is 57. To check your answer 57 x 3 would get 171. 171 x 2 would get you 342 so your answer is 57 + 57 = 114

Three hundred people were asked to choose their favorite of the following ice cream flavors: vanilla, chocolate, or strawberry. What percentage of the people chose strawberry as their favorite?

24%
14%
37%
86%

Answers

Answer:

There is missing in given

Step-by-step explanation:

There is missing in given

I think it’s 24% im sorry if im wrong

what is the solution of /5x+1-?x=5

Answers

Answer:

X=1

Step-by-step explanation:

If you are looking for x it is 1

This equation shows how the number of cookies Jonah can bake is related to the amount of flour he has. c = 8f The variable f represents the number of scoops of flour Jonah has, and the variable c represents the number of cookies he can bake. With 3 scoops of flour, how many cookies can Jonah bake?

Answers

Answer:

c = 24

Step-by-step explanation:

8*3=c

Determine the degree of the relation y = 8x^4 – 3x^3 + x^2.

a) 4
b) 3
c) 1
d) 2

Answers

Answer:

x= 2x+3

Step-by-step explanation:

delta= postif

x1= -b - racine de Delta sur A AU CARRE

x2= -b + racine de delta A AU CARRE

50 POINTS!!!!!!!!!
Rounded to the nearest tenth, approximately how many ounces is 13.8 kilograms?

A.
39.1 ounces
B.
48.7 ounces
C.
391.2 ounces
D.
485.8 ounces

Answers

Answer:

the answer is B

Step-by-step explanation:

Hope this helps

Answer:

d

Step-by-step explanation:

i think that's right

For what values ​​does c have no solutions?

Answers

Solve for c :

x⁴ + cx² + 100 = 0

cx² = -(x⁴ + 100)

c = - (x⁴ + 100)/x²

If x = 0, the right side is undefined and c would have no solution.

PLEASE HELP!!
A piggy bank contains nickels and quarters. There are a
total of 64 coins in the bank with a total value of $8.60.
How many of each type of coin are there in the piggy
bank?

Answers

Answer:

27 quarters and 37 nickels

Step-by-step explanation:

Nickels are 5¢

Quarters are 25¢

$8.60 is 172 nickels (860/5)

$8.60 is 34.4 quarters (860/25)

So then let's split it half-and-half.

425 and 435

425 would become 17 quarters.

435 would become 87 nickels.

This is still too much.

Now let's try 700 and 160.

700 would become 28 quarters

160 would become 32 nickels.

28+32=60.

This is a lot closer.

So now 27 quarters and 37 nickels. This works.

Find the single number that will make these two expressions equivalent.

Answers

Answer:

Which two expressions?

Step-by-step explanation:

The radius of a circle is 7.5 cm. Solve for the circumference of the circle. (Use 3.14 for Pi)

Answers

Step-by-step explanation:

radius of a circle=7.5 cm

now,

circumference of a circle=2[tex]\pi[/tex]r

                                          =2*3.14*7.5

                                          =47.1 cm

What are the values of x and y in PQRS? What are PR and SQ?

Answers

Step-by-step explanation:

sol;

x+1=y...(1)

3y-7=2x....(2)

or, 3(x+1)-72x [from (1)]

or, 3x+3-7=2x

or, 3x-2x=7-3

     x=4

now,

putting the value of x in (1)

y=x+1

 =4+1

 =5

PR and SQ are the diagonal of PQRS.

Nic bought 28 folding chairs for $16 each.
How much money did Nic spend on chairs?

Answers

Answer:

$448

Step-by-step explanation:

This can be solved simply by using multiplication:

28 (chairs) x 16 (dollars per each chair) = 448 (dollars total)

Hope it helps! :)

Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in the figure below. Which could be the measures of angle POS and angle POQ?
(A)m POS = 30°mZPOQ = 50°
(B)mZPOS - 30°,mZPOQ-65°
(C)m POS -25°,mZPOO-65° (D)mZPOS=25mZPOQ -50°​

Answers

Answer:

(A) it's just a guess but its the only answer that fits with the question

Step-by-step explanation:

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!! ​

Answers

Answer:

C) As x approaches positive infinity, f(x) approaches positive infinity

Step-by-step explanation:

The domain is NOT all real numbers as x is either smaller than or bigger than 0, and smaller than or bigger than 2.  So x ≠ 0 and x ≠ 2.This implies that there are asymptotes at x=0 and x=2.
Therefore, the function is NOT continuous.The function is NOT increasing over its entire domain as
f(x) = -x² -4x + 1 is decreasing for its given domain of 0<x<2

Answer:

b

Step-by-step explanation:

khan academy (8th grade math ) ,

Answers

Answer:

k=37

Step-by-step explanation:

If we plug in 2 for t, which it tells us is the input, then the output of the problem will be 37

k=13t-2

Plug in the value for t.

k=13(2)-2

k=39-2

k=37

ANSWER QUICK PLEASEEEEEEEEEEEEEE

Answers

Answer:

3

Step-by-step explanation:

ASAP HELP
find the scale factor of the small triangle to the large triangle

Answers

The scale factor would be 2.50

VXYZ is a kite. What is the length of XY?

Answers

Answer:

[tex]5x - 6 = 3x + 4 \\ 5x - 3x = 4 + 6 \\ 2x = 10 \\ x = 10 \div2 \\ x = 5 \\ length \: of \: xy = 3 \times 5 + 4 \\ = 15 + 4 \\ = 19[/tex]

Answer: 19

Step-by-step explanation:

From the properties of the kite, we know that line segment XY is congruent to line segment ZY. Keep in mind, the variable we need to solve for this question is x!

From this, we can say that;

3x+4=5x-6

Plus 6 on both sides to get

3x+10=5x

Minus 3x on both sides to get

10=2x


divide both sides by 2 to get

5=x


now plug the x value 5, into the equation XY

3 times 5 + 4


multiplication goes first!

15+4=19

number 5 and 6 plz help thank you

Answers

Answer:

5 is B. corresponding

Step-by-step explanation:

hope this helps

Answer:

5 - B Corresponding angles

6 - a = 100°

Step-by-step explanation:

5 - Literally the definition of corresponding angles

6 - These angles add up to 360° so 360-(105+95+60)=360-260=100°

What is the sum of 10.8 + 42 4/5?
A) 52 1/5
B) 52 3/5
C) 53 1/5
D) 53 3/5

Answers

10.8 + 42 4/5 would be D) 53 3/5.


Given the function h(x) =-x^2+3x+8, determine the average rate of change of
the function over the interval 1 < x < 6?

Answers

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(x)= -x^2+3x+8 \qquad \begin{cases} x_1=1\\ x_2=6 \end{cases}\implies \cfrac{h(6)-h(1)}{6-1} \\\\\\ \cfrac{[-(6)^2+3(6)+8]~~ -~~[-(1)^2+3(1)+8]}{5}\implies \cfrac{-10~~ - ~~(10)}{5} \\\\\\ \cfrac{-20}{5}\implies -4[/tex]

An initial amount of $40,000 increases by 8% per year. In how many years will the amount reach $60,000?​

Answers

6.25 years
Find 1% of 40,000. 400
Multiply by 8. 3200
Divide by 20,000. 6.25

Answer:

6.25 Years

Step-by-step explanation:

First, find 8% of 40,000 which is 3,200 which represents how much the initial amount increases per year.

Next, find out how much you need to increase by subtracting 40,000 from 60,000 which means you need 20,000 more dollars.

Next, divide how much money you need by how much it increases to see how many years it will take.

20,000 divided by 3,200 is 6.25

In one year, a dog's weight increased
from 64 pounds to 80 pounds. By what
percentage did the dog's weight increase?

Answers

Answer:

16 because 64 plus 16 is 80 hope this helps :)

Element X decays radioactively with a half life of 13 minutes. If there are 710
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 36 grams?

Answers

The half-life of the element is 13 minutes, which means after 13 minutes, any starting amount decays to half. So element X decays with a rate k such that

[tex]\dfrac12 = e^{13k}[/tex]

Solve for k :

[tex]\ln\left(\dfrac12\right) = \ln\left(e^{13k}\right)[/tex]

[tex]-\ln(2) = 13k \ln(e)[/tex]

[tex]-\ln(2) = 13k[/tex]

[tex]\implies k = -\dfrac{\ln(2)}{13}[/tex]

Now, we solve for t such that

[tex]36 = 710e^{kt}[/tex]

[tex]e^{kt} = \dfrac{18}{355}[/tex]

[tex]\ln\left(e^{kt}\right) = \ln\left(\dfrac{18}{355}\right)[/tex]

[tex]kt = \ln\left(\dfrac{18}{355}\right)[/tex]

[tex]-\dfrac{\ln(2)}{13} t = \ln\left(\dfrac{18}{355}\right)[/tex]

[tex]\implies t = -\dfrac{13 \ln\left(\frac{18}{355}\right)}{\ln(2)}[/tex]

[tex]\implies t = -13 \log_2\left(\dfrac{18}{355}\right) \approx \boxed{55.9}[/tex]

what is 2+2 equals to ?

Answers

Answer:

2.7t5r

Step-by-step explanation:

Answer:

2 + 2 = 4

y tho

Step-by-step explanation:

The solution to the system is at (-5, -3). Write the equations of the lines that is shown in slope-intercept form (y=mx+b). Answer requires two equations, please help!

Answers

Answer:

[tex]y=\frac{6}{5}x+3[/tex]   and    [tex]y=-\frac{2}{5} x-5[/tex]

Step-by-step explanation:

To find the slope (gradient) of a line, choose 2 points on the line and put their coordinates into the formula:  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the 2 points.

The y-intercept is the y-coordinate of the point where the line crosses the y-axis.

The question has given you one point that both lines pass through: (-5, -3)

You also need to determine the points where both lines cross the y-axis to determine their y-intercepts - use those as the second points.

From inspection, for the upper line this is (0, 3) and for the other line this is (0, -5)

Therefore, the slope of the upper line is: [tex]m=\frac{3--3}{0--5}=\frac{3+3}{0+5} =\frac{6}{5}[/tex]

This line crosses the y-axis (0, 3) so its y-intercept is 3

Therefore, the equation is [tex]y=\frac{6}{5}x+3[/tex]

The slope of the lower line is: [tex]m=\frac{-5--3}{0--5}=\frac{-5+3}{0+5} =\frac{-2}{5}[/tex]

This line crosses the y-axis (0, -5) so its y-intercept is -5

Therefore, the equation is [tex]y=-\frac{2}{5} x-5[/tex]

#1

(0,3)(-5,-3)

Slope

m=(-3-3)/-5m=6/5

Equation

y=6/5x+3

#2

(0,-5)(-5,-3)

Slope

m=(-3+5)/-5m=-2/5

Equation

y=-2/5x-5

How many math problems can you solve in 18 minutes if you can solve 4 in 2 minutes

Answers

Answer:

36

Step-by-step explanation:

18 / 2 = 9
9 x 4 = 36

Answer:

thirty six. math problems

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