GEOMETRY: need some help on these equations, i'm giving a lot of points for this.

GEOMETRY: Need Some Help On These Equations, I'm Giving A Lot Of Points For This.

Answers

Answer 1

Answer:

1) ML=93

2) GE=58

Step-by-step explanation:

1)

We want to find ML.

So, we need to find x first.

Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:

[tex]NM+ML+LK=NK[/tex]

And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:

[tex](110+4x)+(x+103)+(70)=x+243[/tex]

On the left, combine like terms:

[tex](4x+x)+(110+103+70)=x+243[/tex]

Add:

[tex]5x+283=x+243[/tex]

Subtract 283 from both sides:

[tex]5x=x-40[/tex]

Subtract x from both sides:

[tex]4x=-40[/tex]

Divide both sides by 4:

[tex]x=-10[/tex]

So, the value of x is -10.

Substitute this into ML to find it. So:

[tex]ML=(-10)+103[/tex]

Add:

[tex]ML=93[/tex]

And we're done!

2)

Here, we want to find GE. This means solving for x again.

Note that HF plus FE equates to the entire segment.

HG plus GE also equates to the entire segment.

Thus:

[tex]HF+FE=HG+GE[/tex]

Substitute 3x-129 for HF and 4 for FE.

Substitute 13x-993 for HG and 3x-185 for GE. Thus:

[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]

Combine like terms on both sides:

[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]

Add or subtract:

[tex]3x-125=16x-1178[/tex]

Add 1178 to both sides:

[tex]3x+1053=16x[/tex]

Subtract 3x from both sides:

[tex]1053=13x[/tex]

Divide both sides by 13:

[tex]x=81[/tex]

So, the value of x is 81.

To find out GE, GE is the 3x-185. So:

[tex]GE=3(81)-185[/tex]

Multiply:

[tex]GE=243-185[/tex]

Subtract:

[tex]GE=58[/tex]

And we're finished!


Related Questions

Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.

7. f(3)+g(4) 8. g(3)+f(4)

Answers

Answer:

First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.

Step-by-step explanation:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(  

g

f

​  

)(x)=  

g(x)

f(x)

​  

 

= \small{\dfrac{3x+2}{4-5x}}=  

4−5x

3x+2

​  

 

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(  

g

f

​  

)(x)=  

4−5x

3x+2

Seth found two new ways to get to school. Which route is faster for Seth, when school is 17 miles away?
A graph titled Bus Stop 1 has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through (0, 5), (6, 8) and (12, 11).
A 2-column table with 3 rows titled Friend's House. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Bike from work: His dad's work is 5 miles from school and Seth bikes at 0.2 miles per minute.
Relative's house: y = 1.2 x minus 4.

Answers

Answer:

D

Step-by-step explanation:

pls help me i dont understand.

Answers

Answer:

- 2.2× (-2) ÷ (-1/4)×5

- 2.2× (-2) × (-4) ×5

4.4 × (-20)

-88

Step-by-step explanation:

Answer:

Step-by-step explanation:

For fraction division, multiply with the reciprocal of the fraction.

Reciprocal of (-1/4) = -4/1

-22 * (=2) ÷  (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]

                                   [tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]

Which function describes the table of values?

Answers

Answer:

C. f(x)=3x-1

eg. f(2)=3(2)-1 = 5

The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. Please I need this right knowWrite a sentence using an adverb clause illustrating the following usage. contrast

Answers

Answer:

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

what is 75.3% of 1394​

Answers

Answer:

1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500

Step-by-step explanation:

1394/x=100/75.3

(1394/x)*x=(100/75.3)*x       - we multiply both sides of the equation by x

1394=1.32802124834*x       - we divide both sides of the equation by (1.32802124834) to get x

1394/1.32802124834=x

1049.682=x

x=1049.682

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{75.3\% \: of \: 1394}[/tex]

Convert 75.3 percent into fraction

To convert a percentage to a fraction, divide it by 100

[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]

Hope I helped!

Best regards! :D

Give the absolute value of expression |-12.1|

Answers

Answer:

12.1

Step-by-step explanation:

its just how many spaces away from 0 it will never be a negetive #

what is the area of a circle. Using 3.14 for. A circle with diameter of 8.4 ft.
Round to the nearest tenth if necessary
[tex]\pi[/tex]

Answers

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

The sum of a number and three is forty-one.Find the number

Answers

Answer:

Step-by-step explanation:

x + 3 = 41

x = 38

Product or (6x+3) and (2x-3)?

Answers

Step-by-step explanation:

(6x+3)x(2x-3)

6x x 2x=12x^2

3 x -3=-9

12x^2-9

Idk if you need to simplify more but I hope it helps!

Can you answer this question please

Answers

The answer is y=34

Explanation:

Solye for x
7(x + 1) = 21

Answers

Answer:

x = 2

Step-by-step explanation:

Given

7(x + 1) = 21 ( divide both sides by 7 )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Answer:

x=2

Step-by-step explanation:

7×(x +1)=21

7x +7 =21

7x =21 - 7

7x =14

x=14 :7

x=2

7 ×(2 +1)=21

7 ×3 =21

21 =21

What is the value of C-F​

Answers

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

Simplify 7x^2 + 3 - 5(x^2-4)

Answers

Answer:

2x^2 + 23

Step-by-step explanation:

For this problem, we will simply combine like terms after using the distributive property:

7x^2 + 3 - 5(x^2 - 4)

= 7x^2 + 3 - 5x^2 + 20

= 7x^2 - 5x^2 + 3 + 20

= 2x^2 + 23

Cheers.

Answer:

2x^2 + 23

Step-by-step explanation:

The third option

Which of the following statements is true? A)The number 0 is a natural number.
B)The number 1/2 is an integer.
C)The value π is a rational number.
D) The number -5 is a real number.​

Answers

Answer:

A. The number zero is a natural number

Answer:

These are correct

A) TRUE

B) FALSE

C) FALSE

D) TRUE

what is the answer to -9 x (-9) x (-9)

Answers

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]

[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {-9*-9=81}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {81*-9=}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox {-729}[/tex]

[tex]\text {Best of Luck!}[/tex]

A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?

Answers

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

Indentify the segment bisector of RS

Answers

Answer: line k is the segment bisector and the distance between RS is 34

A football team gains 5 yards, then loses 2 yards then gains another 6 yards, then loses 3 yards what is their net gain or loss?

Answers

Answer:

6 yards net gain

Step-by-step explanation:

What is the slope? Please answer ASAP

Answers

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
(Got it from google lol hope it helped!)

y−5=3(y−3) [tex]y−5=3(y−3)[/tex]

Answers

Steps to solve:

y - 5 = 3(y - 3)

~Distribute right side

y - 5 = 3y - 9

~Add 5 to both sides

y = 3y - 4

~Subtract 3y to both sides

-2y = -4

~Divide -2 to both sides

y = 2

Best of Luck!

An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?

Answers

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

What is this?
[tex] \frac{f}{4} - 5 = - 9[/tex]

I don't know this one bruh​

Answers

Hey there!

ANSWER: [tex]f=-16[/tex]EXPLANATION:

[tex]\frac{f}{4}-5=-9[/tex]

Simplify both sides and you get:

[tex]\frac{1}{4}f-5=9[/tex]

Now add 5 to both sides and you get:

[tex]\frac{1}{4}f=-4[/tex]

Now you have to multiply both sides and you get:

[tex]f=-16(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

What is the value of the expression below?
43
5
+3.55
017
0 181
10219
024

Answers

I think it is 18 9/10

Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality

Answers

Answer:

         addition property of equality

Step-by-step explanation:

Adding the same number to both sides of equation doesn't change the equality.

¹/₉ + t    =   7

+(-¹/₉)        +(-¹/₉)

   t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉

addition property of equality

It cost Connor $1.20 to send 8 text messages. How much would it cost to send 98 text messages?

Answers

The answer for the question is $14.7

Answer:

14.7

Step-by-step explanation:

need help with this 9/11+3/4=?

Answers

Answer:

1.57

Step-by-step explanation:

9/11+3/4

=1.56818181818181.....

=1.57

Answer:

69/44

Step-by-step explanation:

=(9x4) + (3x11)

___________

       11x4

=69/44 or 1 25/44

Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316

Answers

Answer: B. $112 = $16 x

Hope this helps!

Describe the transformation from the parent function to f(x)=(x−4)^2

Answers

Answer:

t665656yyt5ttr

Step-by-step explanation:

Which table of ordered pair represent a proportional relationship?

Answers

Answer:

Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.

Step-by-step explanation: hope this help

Other Questions
What are three occupations of people in the northern colonies Hurry please The atomic number is the number of protons in the atom of the element.A)TrueB)False Which of the following is not a characteristic of an industrial society? a. Moves from place to place following resources b. Uses new sources of energy c. Increases pollution d. Uses complex tools and systems NEED HELP!!!!!!Antietam - Who were the Union Commander(s) of AntietamWho were the Confederate Commander(s) of AtietamChancellorsville- Who were the Union Commander(s) of Chancellorsville?Who were the Confederate Commander(s) of Chancellorsville?Gettysburg- Who were the Union Commander(s) of Gettysburg?Who were the Confederate Commander(s) of Gettysburg?Vicksburg- Who were the Union Commander(s) of Vicksburg?Who were the Confederate Commander(s) of Vicksburg?Chattanooga- Who were the Union Commander(s) of Chattanooga?Who were the Confederate Commander(s) of Chattanooga ?Wilderness- Who were the Union Commander(s) of Wilderness?Who were the Confederate Commander(s) of Wilderness?Campaign- Who were the Union Commander(s) of Campaign?Who were the Confederate Commander(s) of Campaign?Shermans March to the Sea- Who were the Union Commander(s) of Shermans March to the Sea-?Who were the Confederate Commander(s) of Shermans March to the Sea-?Nashville- Who were the Union Commander(s) of Nashville ?Who were the Confederate Commander(s) of Nashville? Solve for16 2t = t +9 He began to nail onhis card, and I rushed out tothe express car, in a gooddeal of a state of mind, to askfor an explanation. But no--there was my box, all right, inthe express car; it hadn'tbeen disturbed.A. Situational Irony - without realizing it,the narrator almost prevented the mix-upof the boxes.B. Humor - nailing a card on a box ishumorous.C. Verbal Irony - the narrator says onething -- "Is that my box?" -- but meansanother. 6th grade math pls help The coordinates of point T are (0,4). The midpoint of ST is (1,-5). Find the coordinates of point S.The other endpoint is(Type an ordered pair.) PLZ ANSWER WILL GIVE BRAINEST Based on the information in the table, which elements are most likely in the same periods of the periodic table?-Boron and carbon are likely together in one period because they have very close atomic numbers, while gallium and germanium are likely together in another period because they have very close atomic numbers.-Aluminum, boron, and carbon are likely together in one period because they were first isolated in the first half of the 1800s, while gallium and germanium are likely together in another period because they were first isolated in the second half.-Boron and carbon are likely together in one period because they each end in -on, while aluminum, gallium, and germanium are likely together in another period because they each end in -ium.-Aluminum, boron, and gallium are likely together in one group because they have the same number of valence electrons, and carbon and germanium are likely together in another group because they have the same number of valence electrons. justify why amphibians are not fully adapted on land What did the great awakening see the rise of? Joe's father and mother have just divorced, and his father has moved to another state. Joe misses his father and feels isolated because he won't be seeing him very often. He thinks the situation is hopeless. What is the value of x?-7.5 (x-3)=3.75 When a person invests income, he or shespends no money in the short term and saves it all for the long term.uses money in a way that will increase its value in the future.spends income only on essential needs such as housing.cuts out all discretionary spending for a set period to save money. The most important cultural dimension is:___________ What was "popular sovereignty" in the context of the Kansas-Nebraska Act?Choose 1 answer:A. Popular sovereignty left it up to the citizens of each territory to negotiate their own treaties with Native Americans.B. Popular sovereignty left it up to the citizens of new territories to decide whether they wanted to enter the Union or organize as independent nations.C. Popular sovereignty left it up to the citizens living in each territory to decide whether that territory would enter the Union as a slave state or a free state. Frank needs to fill juice cups for his sis there r 35 cups amd it holds 12 fluid ounces. The juice came in a 1 gallon bottle how many 1 gallon bottles of juice will he need to purchase? Which of the following is not a description of the Mississippian culture? Could someone help me out, Im not sure how to do these :,) 4x+2y=8 what is the y intercept