Find the value of x in each case:

Find The Value Of X In Each Case:

Answers

Answer 1

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

The triangle interior angle at I will be the supplement of the angle marked 2x. The triangle interior angle at G will be equal to x, the alternate interior angle with respect to transversal GI crossing the parallel lines.

The angle marked 3x is the sum of these "remote" interior angles:

  3x = 180 -2x +x

  4x = 180 . . . . . . . . . add x; next, divide by 4

  x = 180/4 = 45 . . . . . degrees

  x = 45°


Related Questions

Given the triangle below, what is the length of the third side, rounded to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

You need the Law of Cosines for this, namely:

[tex]x^2=21^2+14^2-2(21)(14)cos58[/tex] where x is the missing side.

[tex]x^2=441+196-311.5925[/tex] and

[tex]x^2=325.4075[/tex] so

x = 18.0 or just 18

Please help! Thank you.

Answers

Answer:

B  at -1 minus we go to - ∞

at -1 plus  we to + ∞

Step-by-step explanation:

         x^2 -x

g(x) = ---------

         x+1

Factor out x

         x(x-1)

g(x) = ---------

         x+1

As x is to the left of -1

   x is negative (x-1) is negative

        x+1  will be slightly negative

g(-1 minus) = -*-/ -  = -  and we know that the denominator is very close to zero  we are close to infinity  so we go to - ∞

As x is to the right of -1

   x is negative (x-1) is negative

        x+1  will be slightly positive

g(-1 plus) = -*-/ +  = +  and we know that the denominator is very close to zero  we are close to infinity  so we go to  ∞

Ivan invests $5,000 into an account with a 3.5% interest that is compounded semi-annually.
How much money will he have in this account if he keeps it for 15 years?

Answers

9514 1404 393

Answer:

  $8414

Step-by-step explanation:

The compound interest formula is useful for this.

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years. A is the ending balance.

  A = $5000(1 +0.035/2)^(2·15) = $5000·1.0175^30 ≈ $8414.00

Ivan will have $8414 in his account after 15 years.

f=((-1,1),(1,-2),(3,-4)) g=((5,0),(-3,4),(1,1),(-4,1)) find (f/g)(1)

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

(f/g)(1) = f(1)/g(1) = -2/1 = -2

__

The value of f(1) is the second number in the ordered pair (1, -2) that is part of the definition of function f. Similarly, for g, we look for the ordered pair that has 1 as its first value. The second value is g(1).

HELP ME OUT ASAPPP PLSSS

Answers

Answer:

https://linksharing.samsungcloud.com/ul5cX9oOmhzt

What is the difference between squaring and cubing a value?

Answers

Answer:

squaring a number is multiplying it by itself twice and cubing a number is multiplying the number three times itself

Step-by-step explanation:

for example 2²=2×2

=4

and 2³=2×2×2

=8

A survey is sent out to 500 people asking questions related to the link between religion and sexual behavior at a young age. The survey does not have any tracking device, and the results are sent to a database that gives no indication of who or where the results came from. However, the database is posted online for religion and human behavior researchers to freely conduct statistical analyses. The responses to this survey are
a. both confidential and anonymous.
b. confidential only.
c. anonymous only.
d. neither confidential nor anonymous.

Answers

Answer:

c

Step-by-step explanation:

Since the the identities of the survey takers were kept secret, it would be anonymous. If it wasn't anonymous, then people would know who took the survey.

Since the survey results were released online for analyses, it is not confidential. If it were to be confidential, then the survey distributors would have kept the results to themseles.

i have 6 one, 7 tens and 14 hundreds. what number am i?​

Answers

Answer:

Step-by-step explanation:

6×1 = 6

7×10 = 70

14×100 = 1400

6+70+1400 = 1476

Answer:

1,476

Step-by-step explanation:

I hope this helps you out! (please give me brainliest)

what percent is 50cent of 50cent ​

Answers

what

Step-by-step explanation:

pretty sure its 25 percent

Answer:

25%

Step-by-step explanation:

if you take half of 50 it is 25 so all of it is used or 25%

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

Khảo sát 600 sinh viên trường thấy có có 520 sinh viên thích các hoạt động của Hội Thanh Niên nhà trường. Với độ tin cậy 95%, ta có ước lượng tỷ lệ sinh viên toàn trường thích các hoạt động của Hội Thanh Niên thuộc khoảng

Answers

Answer:

I don't know ans OK bro because I can't understand your language what are you writing

What are the zeros of the polynomial function f(x)=x3-7x2+8x+16

Answers

Answer: x=4, -1

Step-by-step explanation:

Assuming you meant [tex]x^3-7x^2+8x+16[/tex], the zeros of the question are x = 4 and -1.

Step 1. Replace f(x) with y.

[tex]y = x^3-7x^2+8x+16[/tex]

Step 2. To find the roots of the equation, replace y with 0 and solve.

[tex]0 = x^3-7x^2+8x+16[/tex]

Step 3. Factor the left side of the equation.

[tex](x-4)^2 (x+1)=0[/tex]

Step 4. Set x-4 equal to 0 and solve for x.

[tex]x-4=0[/tex]

Step 5. Set [tex]x+1[/tex] equal to 0 and solve for x.

[tex]x=-1[/tex]

The solution is the result of [tex]x-4=0[/tex] and [tex]x+1=0[/tex].

[tex]x=4,-1[/tex]

find the solution to the system of equations.
y= -7x + 3

y= -x - 3

Answers

Answer:

x = 1       y = -4

Step-by-step explanation:

-7x + 3 = -x - 3

-7x = -x - 6

-6x = -6

x = 1

y = - (1) - 3

y = -1 - 3

y = -4

Yemi earns 8000naira a month and Bisi earns 6000naira a month. Find the ratio between their income.​

Answers

Answer:

8:6

or

4:3

Step-by-step explanation:

Find the missing side round your answer to the nearest tenth

Answers

Answer:

x=13.2

Step-by-step explanation:

cos(43)=x/18

x=18×cos(43)

x=13.2

Answered by GAUTHMATH

How many solutions does the nonlinear system of equations graphed below have?
A. Four
B. Two
C. One
D. Zero​

Answers

Answer:

Option (A)

Step-by-step explanation:

Solution of two functions represented by the graph are the common points or point of intersection of the graphs.

From the graph attached,

Parabola and ellipse are intersecting each other at four points.

Therefore, solutions of the given non linear functions will be FOUR.

Option (A) will be the correct option.

16)dry air is trapped in a narrow uniform glass tube by a mercury pellet of length 25cm .when the tube is placed vertical with the open end um long.what is the external pressure if the column of air becomes 40 cm in length when inverted ? . ( required answer = 74cm hg )

Answers

Step-by-step explanation:

Ru Tu yulyryosuyyyhlsgjpcbmb kvjvlcykxnlvdlbvhck

chgkbhlxyovk m.

chchhlzixhvkh

Which of the following pairs of functions are inverses of each other?
A. f(x) = 5 + x and g(x) = 5 - x
B. f(x) = 2x -9 and g(x)=x+9/2
C. f(x) = 3-6 and g(x)=x+6/2
D. f(x)= x/3+4 and g(x) = 3x - 4​

Answers

The pair of functions that are inverses of each other is B. f(x) = 2x - 9 and g(x) = x + 9/2.

To determine if two functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's analyze the given options:

A. f(x) = 5 + x and g(x) = 5 - x

To check if they are inverses, we compute f(g(x)) = f(5 - x) = 5 + (5 - x) = 10 - x, which is not equal to x. Similarly, g(f(x)) = g(5 + x) = 5 - (5 + x) = -x, which is also not equal to x. Therefore, these functions are not inverses.

B. f(x) = 2x - 9 and g(x) = x + 9/2

By calculating f(g(x)) and g(f(x)), we find that f(g(x)) = x and g(f(x)) = x, which means these functions are inverses of each other.

C. f(x) = 3 - 6 and g(x) = x + 6/2

Similar to option A, we compute f(g(x)) and g(f(x)), and find that they are not equal to x. Hence, these functions are not inverses.

D. f(x) = x/3 + 4 and g(x) = 3x - 4

After evaluating f(g(x)) and g(f(x)), we see that f(g(x)) = x and g(f(x)) = x. Therefore, these functions are inverses of each other.

In summary, the pair of functions that are inverses of each other is B. f(x) = 2x - 9 and g(x) = x + 9/2.

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The sum of four
consecutive odd number is 8o. Find the number​

Answers

Answer:

The sum of 4 consecutive odd number is 80

Let X be the first of these numbers

Then the next odd number is X+2

The third is X+4The fourth is X+6

All of these add up to 80

(X) + (X+2) + (X+4) + (X+6) = 80

Using the commutative and associative laws, let's transform this equation into

(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80

Subtract 12 from both sides of the equation gives4X = 68

Divide both sides by 4 gives

X = 17

Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!

what us 10 to the power of two​

Answers

the answer is

10² ( ten square )

step by step :

10² = 10 × 10

= 100

Answer: 100

Step-by-step explanation: 10*10=100


Using your textbook, solve the problems below. Show your work.
Solve for y:
y + 8 = 2

Answers

Answer:

i dont know lol

Step-by-step explanation:

I need help thanks you!

Answers

I think its C: 2 hours. sry if its wrong

6x + 7y = 4x + 4y
Complete the missing value in the solution to the equation.
( ?,-4)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(6, -4)

[tex]x = 6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

We would need to solve for 'x'. We are already given the 'y' value of '-4', so we would need to substitute y for '-4', and then undo operations to isolate 'x'.

⸻⸻⸻⸻

[tex]\rightarrow 6x + 7(-4) =4x + 4(-4)\\\\\rightarrow 6x - 28 = 4x - 16\\\\\rightarrow 6x - 28 + 28 = 4x - 16 + 28\\\\\rightarrow 6x = 4x + 12\\\\\rightarrow 6x - 4x = 4x - 4x + 12\\\\\rightarrow 2x = 12\\\\\rightarrow \frac{2x=12}{2}\\\\\rightarrow \boxed{x = 6}[/tex]

⸻⸻⸻⸻

The '6' would replace the question mark.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

If P is (-5, 4) and Q is (7, -5), what is 2/3 of that?

Answers

Answer: 10

Step-by-step explanation:

Sqrt (7- -5)^2+(-5-4)^2 =

Sqrt (12)^2+(-9)^2 =

Sqrt 225 = 15

2/3 * 15 = 30/3 = 10

I NEED HELP THANK YOU!!

Answers

Answer:

rt3/2

Step-by-step explanation:

first off cosine is the x coordinate

now if you do't want to use a calculator, you can use use the unit circle.

360 - 330 = 30 (360 degrees is a whole circle)

a 30 60 90 triangle is made, then use the law for 30 60 90 triangles:

if the shortest leg is x, the other leg is x*rt3 and the hypotenuse is 2x.

Answer:

D

Step-by-step explanation:

cos 330 = cos (360-330)

= cos 30

= √3 /2

Tay–Sachs Disease Tay–Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately .25. Suppose a husband and wife are both carriers of the disease and the wife is pregnant on three different occasions. If the occurrence of Tay–Sachs in any one offspring is independent of the occurrence in any other, what are the probabilities ofthese events?

a. All three children will develop Tay–Sachs disease.
b. Only one child will develop Tay–Sachs disease.
c. The third child will develop Tay–Sachs disease, given that the first two did not.

Answers

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that their offspring will develop the disease is approximately .25.

This means that [tex]p = 0.25[/tex]

Three children:

This means that [tex]n = 3[/tex]

Question a:

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219[/tex]

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

[tex]p = 0.75*0.75*0.25 = 0.1406[/tex]

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

The distribution of SAT scores is approximately normal with a mean of 1500.
If 1628 is the 90th percentile, what is the standard deviation?

Answers

Answer:

Hello,

Answer

[tex]\sigma=457,95...[/tex]

Step-by-step explanation:

p(z<a)=0.9

p(z<1.29)=0.9015

p(z<1.28)=0.8997

using linear interpolation: with 4 decimals

p(z<1.282)<0.9

[tex]\dfrac{1628-1500}{\sigma} =1.282\\\\\sigma =\dfrac{1628-1500}{1.282}\\\\\sigma=457,95...\\[/tex]

letter A represents the decimal

Answers

Answer:

answer is 0.4

Step-by-step explanation:

The decimal would be 0.8

Square root 1.000441

Answers

Answer: 1.00022048

Step-by-step explanation:

the answer is 1.0002204757

Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval? Is this significant? Why is it important to understand this concept?

Answers

Answer:

it is important because the number of people who are infected by the disease is rising

2. Mandla spent one quarter of his pocket money on sweets. a. What fraction does he have left? b. If he had R40 pocket money, how much did he spend?​

Answers

Answer:

a. 3/4 of pocket money left

b. R10

Step-by-step explanation:

a. 4/4 - 1/4 = 3/4

b. 40/4 = 10 = 1/4 of pocket money

(a). The fraction of pocket money left is 3/4

(b). If he had R40 pocket money, he spend R10.

What is the Ratio?

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Mandla spent one-quarter of his pocket money on sweets

Let x be the total amount of pocket money Mandla had originally

Solution of (a).

⇒ x - (1/4)x

⇒ (3/4)x

The fraction of pocket money left = 3/4

Solution of (b).

1/4 of pocket money

⇒ (1/4)x

⇒ (1/4)40

10

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Bod and coa are _____ angles Low-income and minority communities are often subject to racial discrimination at the hands of local government policies and actions. However, in recent years, communities are fighting back and winning battles to protect and improve their neighborhoods. Identify the ways in which communities can be politically active for their own benefit. Beneficial Way Communities Can Be Politically Active engage with public planning process Press Space to open refuse to cooperate with local government Press Space to open organize protests Press Space to open create community associations Press Space to open Not a Beneficial Way for Communities to Be Politically Active Geraldo is a customer care executive at a telecommunications service provider. He receives a complaint from a customer about an unnecessary $20 charge on his phone bill. If the company follows the customer service management process, Geraldo is most likely to _____. Relevant Range and Fixed and Variable CostsVogel Inc. manufactures memory chips for electronic toys within a relevant range of 61,600 to 100,800 memory chips per year. Within this range, the following partially completed manufacturing cost schedule has been prepared:Components produced 61,600 79,200 100,800Total costs: Total variable costs . . . . . . . . . $19,712 (d) (j)Total fixed costs . . . . . . . . . . . . 22,176 (e) (k)Total costs . . . . . . . . . . . . . . . . . $41,888 (f) (l)Cost per unit: Variable cost per unit . . . . . . . (a) (g) (m)Fixed cost per unit . . . . . . . . . . (b) (h) (n)Total cost per unit . . . . . . . . . . (c) (i) (o)Complete the cost schedule below. When computing the cost per unit, round to two decimal places. Round all other values to the nearest dollar.Cost ReportComponents produced 61,600 79,200 100,800Total costs: Total variable costs $19,712 (d) $ (j) $Total fixed costs 22,176 (e) (k) Total costs $41,888 (f) $ (l) $Cost per Unit Variable cost per unit (a) $ (g) $ (m) $Fixed cost per unit (b) (h) (n) Total cost per unit (c) $ (i) $ (o) $ In not more than 250 words write a letter to your friend in another town tell him about three things that make you feel happy in your school. 5 sentences please I need help! Which of the following parties is permitted to view all entries in the Notary Signing Agent Notary journal?A) Contracting Companies and LendersB) Borrowers and signing PartiesC) Police with a warrant for Journal Sometimes people say silly things they do not intend to be mean.Identify the choice that corrects this run-on sentence. 56:25If blood is in short supply, which blood type would be the most beneficial to have on hand if someone needed a blood transfusion?O+OAB+AB If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a) 10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum Nm bo co: - Tn cui nm: trong kho: 800 sp; gi bn: 1200sp - S lng sn xut: 10.000 sp - Gi bn: 100.000 ng/sp Nm k hoch: - D kin s lng sn xut tng 10% - Tn cui nm: tng 10% so vi nm bo co - Gi bn: 95.000 ng/sp - Gi vn 1 sp: 79.500 ng (tng 6% so vi nm bo co) Yu cu:1/ Tnh doanh thu nm k hoch 2/ Tnh gi vn hng bn nm k hoch (FIFO) What information does the first quantum number of an electron give? A. The sublevel that the electron is in B. The specific orbital the electron is in C. The energy level the electron is in D. The spin that the specific electron has Which of the following pairs lists a substance that can neutralize HNO3 and the salt that would be produced from the reaction?O BaOH2 and Ba(NO3)3O KOH and K2NO3O NH3 and NH4NO3O NH4 and NHA(NO3)2 What factors contributed to the rise of a consumer economy in the 1920s?influence of mass advertisingbuying on the installment plandecline in productivityhigher interest rates . Using the identity (a + b) = (a + 2ab + b), evaluate 112 Translate the phrase into an algebraic expression.The product of 9 and y Simplify the following: a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A Mention the importance of occupation?? Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity? Find the area of a triangle as a mixed number.