Find the value of each variable

Find The Value Of Each Variable

Answers

Answer 1

The value of angle k is determined as  60⁰.

The value of angle m is determined as 120⁰.

What is the measure of angle m and angle k?

The measure of angle m and k is calculated by applying the following theorem as follows;

The value of angle k is calculated as;

60 + 2k = 180 (opposite angles of a cyclic quadrilateral are supplementary)

60 + 2k = 180

2k = 180 - 60

2k = 120

k = 120/2

k = 60⁰

The value of angle m is calculated as;

m + 60 = 180  (opposite angles of a cyclic quadrilateral are supplementary)

m = 180 - 60

m = 120⁰

Learn more about cyclic quadrilateral here: https://brainly.com/question/10057464

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Related Questions

Evaluate the expression x + 23, when x = 17

Answers

Answer:

40

Step-by-step explanation:

If we have to evaluate an expression, we spsolve for whatever variable there is, and simplify. Here, we know x is 17, so we can plug it into the original expression.

17 + 23 = 40

Given f(x) = -x^2 - 2x + 4, find each of the following,

Symmetric point:
Minimum of f:
Maximum of f:
Is f a one-to-one
Does f have an inverse?
Increasing on
Decreasing on

Answers

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

Answer:

Given f(x) = -x^2 - 2x + 4, find each of the following,

Step-by-step explanation:

f(x) = -x²-2x+4

f(2) = (-2)²-2×2+4

f(2) = 4-4+4

f(2) = 4

A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.​

Answers

Answer:

184

Step-by-step explanation:

What is the solution to the inequality 7x + 2 < 3x + 1?
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10
OB.
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O C.
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Answers

Answer:

x < -1/4

Step-by-step explanation:

7x + 2 < 3x + 1

4x + 2 < 1

4x < -1

x < -1/4

Can someone please help ?

Answers

The answer is b because it is in third coordinate

what is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?

Answers

Answer:

y = -6/5x - 5

Step-by-step explanation:

Use rise over run to find the slope of the line, and the -5 comes from the y-intercept

01:11:1
n
The population, P, of six towns with time t in years are given by the following exponential equations:
(0) P - 1000(1.08)'
(ii) P-600(1.12)
(iii) P - 2500(0.9)'
(iv) P - 1200(1.185)
(V) P - 800(0.78)
(vi) 2000(0.99)
Which towns are decreasing in size?
i, ii, and iv
c. i, ii, and iii
b. iii, v, and vi
d. vi, i, and ii
a.
Please select the best answer from the choices provided
А
B
е с
D

Answers

9514 1404 393

Answer:

  b. iii, v, and vi

Step-by-step explanation:

We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.

The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.

Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.

The product of 9 and the sum of a number and 4.
PLease help

Answers

Answer:9*(n+4)

Step-by-step explanation:

Product means multiply

sum means add

We do the sum first

Let n be the unknown number

sum of a number and 4.

(n+4)

now do the product

9*(n+4)

Where do I put the parentheses in 21-8-6=7

Answers

Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer

Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​

Answers

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

Find The distance between the pair of points


G(0, - 5) and H(0, - 10

Answers

Answer:

5  

Step-by-step explanation:

i believe the answer is -5 or just 5

Robert wrote 27 checks in April. The bank charges $0.18 a check. The monthly service charge for the checking account is $7. What is the total of the fees Robert pays in April on his checking account?

Answers

Answer:

his fees that he will pay in april on his checking account is 34.02$  

Step-by-step explanation:

multiplicative identity

multiplication property of zero

addition property of zero

multiplicative inverse

additive inverse

communicative

reflexive

distributive

symmetric ​

Answers

distributive, symmetric, no idea cause none of these seem right, communicative, addition property of 0, can't see the last one

what is

14+6×(9−6)


PLEASE HELP MEE

Answers

I think 174 if not so sorry I tried

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

[tex]174[/tex]

[tex]\large\purple{ChaEunWoo2009}[/tex]

#CarryOnLearning

solve the proportion for x. 12/x = 15/24 ​

Answers

Answer:

i think x is 19.2

Step-by-step explanation:

solve x by cross multiplying

1242 hope this helps

7. The area of a triangle is 2.1 square feet. Its base is 2 feet. What is its height​

Answers

Step-by-step explanation:

area of a triangle is (bh)/2

b=base

h=height

2.1=(2h)/2

2.1=height

Hope that helps :)

Answer:

4.2

Step-by-step explanation:

Multiply 2.1 and 2 to get 4.2

Suppose that 8% of college students are vegetarians. Determine if the following statements are true or false, and explain your reasoning.

a. The distribution of the sample proportions of vegetarians in random samples of size 60 is approximately normal since n >= 30.
b. The distribution of the sample proportions of vegetarian college students in random samples of size 50 is right skewed.
c. A random sample of 125 college students where 12% are vegetarians would be considered unusual.
d. A random sample of 250 college students where 12% are vegetarians would be considered unusual.
e. The standard error would be reduced by one-half if we increased the sample size from 125 to 250.

Answers

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

Two families are saving money for a vacation. The Juarez family has saved $1000 and will save $50 more each week. The Kim family has saved $500 and will save $75 more each week. Write a system of equations to represent how much money each family will save.

Answers

Answer:

There are many ways you could put this let me demonstrate.

Step-by-step explanation:

If they were to do this for a year (52 weeks) that would be 50x52=2600+1000=3600. Then 75x52=$3900+500=$4400. but if you were to cut that time in half to 6 months it would go something like this. 50x26=1300+1000=2300. Then 75x26=1950+500=2450. It all has to do with the time. I hope this helped.

baby yoda needs help

Answers

Answer:

= 162

1782 divided by 11 equals

162 with a remainder of 0

Solution:

162

11[tex]\sqrt[n]{x}[/tex]1782

-11  

------

68

66

--------

22

-22

Step-by-step explanation:

Write the decimal 0.0768 in words

Answers

Answer:

seven hundred sixty eight ten thousandths

Step-by-step explanation:

Answer:

Seven hundred sixty-eight ten-thousandths

mark me as brainliest plz

3. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14 m,
what is ?
A 8
C. 10
B. 9
D. 11

Answers

Answer:

The correct answer is D, 11 cm.

Step-by-step explanation:

Given that the third side of a triangle measures (3x-5) cm, if the length of the midline is 14 m, to determine the length of the third side and the correct option, the following calculations must be performed:

X (third side) = midline x 2

X = 14 x 2

X = 28

3X - 5 = 28

3X = 28 + 5

3X = 33

X = 33/3

X = 11

Therefore, the correct option is D: 11 cm.

GEOMETRY find the angle of PRQ NO LINKS!!

Answers

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

Given a center of (3,-5) and a radius of 4, write an equation for the circle.

Answers

Answer:

(x-3)²+(y+5)²=16

Step-by-step explanation:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

The equation above is an equation of circle with a centre at (h,k) and has radius = r

Substitute h = 3, k = -5 and r = 4 in the equation.

[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]

Your credit card has an annual percentage rate of 16.99%. The current balance on your credit card is $2,140.40. What is your new account balance after finance charges are applied?

Answers

The answer is 1776.74604

Brainliest for correct answer

Answers

Answer:

similiar and congruent

Step-by-step explanation:

write - 5R - 5U in polar form​

Answers

Answer:

(r,0)

Step-by-step explanation:

5r - 5u = 5(r - u)

Polar time coordinate = 0

So (r, 0)

What number should be added to both sides of the equation to complete the square? x^2-40x=0

Answers

Answer:

+40

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

When completing the square, all you need to do is take half the coefficient of x, and square it.

In this case the coefficient of x is -40, and half of that is -20.  -20 squared is 400, and that is what you need to add to both sides.

Note that when completing the square, you'll always be adding a positive number unless coefficient you're working with is an imaginary or complex number.

solve the following equations
simultaneously;
2x-3y=0
2x-y=8​

Answers

Answer:

x=6 y=4

Step-by-step explanation:

So, what I did was change positions of 2x to -2x=0-3y -2x=-8-y. Because -2x equal to two equations, I did -3y=-8-y. Once simplified, that equals to y=4. I plugged in to 2x-y(or 4)=8. Once that was simplified, 2x=12 or x=6.

Give the most precise name for the quadrilateral. Then, find x and y.

a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20

Answers

Answer:

B

Step-by-step explanation:

(2x - 1) + (2x - 1) + 127 + 127 = 360

n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.

(4x - 2) + 254 = 360

4x - 2 + 254 = 360

4x = 360 - 252

4x = 108

x = 108/4

x = 27

6y - 3y = 3y + 7

6y - 3y = 7 + 5

3y = 12

y = 12/3

y = 4

What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing

Answers

Answer:

triangle

Step-by-step explanation:

only look at the cut off part

Answer:

I believe that the shape is formed to be a circle

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