Answers
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]
Hope this helps <:)
Don't forget to put brainliest!
Related Questions
Helen wrote and solved the equation.
x minus 17 = 56. x minus 17 + 17 = 56 minus 17. x = 39.
What was Helen’s error?
Helen only needed to add 17 to the left side of the equation.
Helen should have added 17 to both sides of the equation.
Helen’s work is correct.
Helen made a subtraction error when subtracting 17 from 56.
Answers
Answer:
x-17=56
x-17+17=56+17
x=56+17
x=73
Step-by-step explanation:
Do mark BRAINLIEST
Answer:
d
Step-by-step explanation:
please help me
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
Enter you answer as a number, like this: 42
Answers
Answer:
8
Step-by-step explanation:
I bolded what I think is important to know.
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.
Table B: Frequency of Foreign-Language Studies by Row
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language
Answers
Answer:
B: Frequency of Foreign-Language Studies by Row
One of the logo meets the building requirements. Explain which logo meets the biulding requirements and why.
Answers
The logo that meets the building requirement must be:
Aesthetically appealingVisually accurate at all sizesMust be memorableRelated to the value being delivered.What are logos in art?A Logo in art is a visual symbol, that an organization selects as one of the primary visual identifiers of its brand.
They are first conceptualized, then built or created after much consultation with graphic and marketing professionals.
Learn more about Logos at:
https://brainly.com/question/26631819
NEED HELP! I JUST NEED HELP ON 31 PLEASSEE HELP
Answers
Answer:
A
Step-by-step explanation:
the quartiles are illustrated as 55 and 59. The average is 57.5 so 58? These are the key points on this type of graph.
Bronson earns $625 per week at his job. How much does he earn annually?
please help
Answers
NEED HELP ASAP!!! GIVING BRAINLIEST+30 POINTS FOR FASTEST, BEST ANSWER FOR THESE TWO QUESTIONS!!!!!
Solve nine times two thirds.
Leave your answer as an improper fraction.
eleven twenty sevenths
eighteen twenty sevenths
eleven thirds
eighteen thirds
Answers
eighteen thirds
two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]
[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]
[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]
[tex]\sf \rightarrow \dfrac{18}{3}[/tex] [ also refereed as eighteen thirds ]
Answer:
[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]
↓ Second problem
[tex]11/27\\18/27\\11/3\\18/3[/tex]
Hope it helps, be great!
The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Question:
The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)
Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft
Not fully sure....
But it should be right...
please help !
what is the probability of the complement of event A ?
Answers
Answer:
[tex]P(A < 84)=\frac{4}{7}[/tex]
Step-by-step explanation:
[tex]Total\ numbers:\ 7\\Numbers\ less\ than\ 84:\ 4\\\\P(A < 84)=\frac{4}{7}[/tex]
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25.
Answers
The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:
Yellow:x Probability
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table etc.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the experiment consists of a spinner with four color sections, and is spun twice.
The sample space is:
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}
Let we take:
X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.
Then, as there are only two spin going to happen, so the values X can take are:
X = 0 (no yellow color in both spin)X = 1 (one of the spin ended up yellow, and other doesn't)X = 2 (both the spins resulted in yellow color).Let we take:
A = event that in first spin of the considered spinner, color yellow occurs.B = event that in second spin of the considered spinner, color yellow occurs.Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).
Similarly, we get P(B) = 1/4
Also, as first and second spins are independent of each other's result, so both A and B are independent events.
Getting the probabilities for each value of X:
Case 1: X = 0[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]
(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )
Case 2: X = 1So either first spin had yellow color, or second, so we get:
[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]
Case 3: X = 2Both event A and B occured this time, so we get:
[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]
Thus, the probability distribution of X is:
X=x P(X = x)
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
Learn more about probability here:
brainly.com/question/1210781
how do i get my math grade up
Answers
Answer:
just practice alot . .. ...........
Answer:
you could do all your work and try to ask the teacher for help
Step-by-step explanation:
What is the answer to how many 1/2 are in 3 1/2?
Answers
Solve for x if 2(5x + 2)^2 = 48
Answers
Distribute
2
(
2
5
2
+
1
0
+
2
(
5
+
2
)
)
2
(
25
x
2
+
10
x
+
2
(
5
x
+
2
)
)
2
(
2
5
2
+
1
0
+
1
0
+
4
)
Combine like terms
2
(
2
5
2
+
1
0
+
1
0
+
4
)
2
(
25
x
2
+
10
x
+
10
x
+
4
)
2
(
2
5
2
+
2
0
+
4
)
Use the diagram to find the distances. Then write the distances to complete the equations.
Triangle P Q R in a coordinate plane. Point P is 1, 2. Point Q is sixteen, ten. Point R is twenty-two, 2. Point S is between P and R, at sixteen, 2. A vertical line segment connects points S and Q.
(A) QS =
(B) PS =
(C) SR =
(D) PQ =
(E) QR =
Answers
Answer:
(A) QS = 8
(B) PS = 15
(C) SR = 6
(D) PQ = 17
(E) QR = 10
Step-by-step explanation:
i did it and got it correct! :D
All the distances are;
(A) QS = 8
(B) PS = 15
(C) SR = 6
(D) PQ = 17
(E) QR = 10
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}
Given:
The three points P(1,2), Q(16,10), and R(22,2) are on the coordinate plane.
To find the lengths of the different line segments in the given figure, we can use the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
(A) To find the length of QS, we need to find the difference between the y-coordinates of Q and S:
QS = |10 - 2| = 8
Therefore, QS has a length of 8 units.
(B) To find the length of PS, we need to find the difference between the x-coordinates of P and S:
PS = |16 - 1| = 15
Therefore, PS has a length of 15 units.
(C) To find the length of SR, we need to find the difference between the x-coordinates of S and R:
SR = |22 - 16| = 6
Therefore, SR has a length of 6 units.
(D) To find the length of PQ, we need to find the difference between the x-coordinates of P and Q:
PQ = √[1 - 16)² + (2 - 10)²]
Therefore, PQ has a length of 17 units.
(E) To find the length of QR, we need to use the distance formula:
QR = √[(22 - 16)² + (2 - 10)²]
= √[36 + 64]
= √100
= 10
Therefore, QR has a length of 10 units.
To learn more about the distance between two points;
https://brainly.com/question/24485622
#SPJ2
Find the value of x. Round to the nearest tenth.
I’m going to Mcshoot myself pls help
Answers
Answer:
x = 10.8
Explanation:
[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]
using cosine rule:
[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]
[tex]\rightarrow \sf x = cos(26) *12[/tex]
[tex]\rightarrow \sf x =10.8[/tex]
Answer:
The answer is rounded 10.8
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.
Hope this helps!
3/4 plus 4/5 subtract 7/10
Answers
Hey There! Happy to Help! Your answer is below.
Answer:
17/20 = 0.85000
Step 1:
Simplify 7/10⇒ (3/4 + 4/5) - 7/10
Step 2:
Simplify 4/5⇒ (3/4 + 4/5) - 7/10
Step 3:
Simplify 3/4⇒(3/4 + 4/5) - 7/10
Step 4:
Calculating the Least Common Multiple⇒ Find the Least Common Multiple
The left denominator is : 4 The right denominator is : 5Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 0 2
5 0 1 1
Product of all
Prime Factors 4 5 20
Least Common Multiple:
20
Calculating Multipliers⇒ Calculate multipliers for the two fractions
⇒ Denote the Least Common Multiple by L.C.M
⇒ Denote the Left Multiplier by Left_M
⇒ Denote the Right Multiplier by Right_M
⇒ Denote the Left Deniminator by L_Deno
⇒ Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5 Right_M = L.C.M / R_Deno = 4Making Equivalent Fractions⇒ Rewrite the two fractions into equivalent fractions
⇒ Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
----------------------------- = ------------
L.C.M 20
R. Mult. • R. Num. 4 • 4
----------------------------- = -------
L.C.M 20
Adding fractions that have a common denominatorAdding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 + 4 • 4 31
------------------ = ---
20 20
Equation at the end of step 4:
31 7
---- - ----
20 10
Step 5:
Calculating the Least Common Multiple :Find the Least Common Multiple
The left denominator is : 20
The right denominator is : 10
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 1 2
5 1 1 1
Product of all
Prime Factors 20 10 20
Least Common Multiple:
20
Calculating Multipliers :
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 31
------------------------- = ----
L.C.M 20
R. Mult. • R. Num. 7 • 2
---------------------------- = -----
L.C.M 20
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
31 - (7 • 2) 17'
-------------- = ---
20 20
17
—— = 0.85000
20
what ratios are equivalent to 4/11
Answers
Answer:
Here!!
Step-by-step explanation:
Here are a few ratios that are equivalent to 4 : 11 . . . . .
8 : 22
12 : 33
20 : 55
400 : 1100
308 : 847
4 billion : 11 billion
please explain how you got your answer because i cant grasp this :/
Answers
Answer:
39 sq inches
Area of sector = [tex]\frac{θ}{360}*\pi r^{2}[/tex]
Given: θ = 70°, radius (r) = 8 inches
Area of sector = [tex]\frac{70}{360} * \pi *8^{2}[/tex]
= 39.095
for further studies visit: https://brainly.com/question/22972014
hope it helps...
6 workers can build a wall in 30 days. If after 6 days 3 more workers join, find the number of days to build the same wall?
Answers
The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.
How to use inverse proportionality to determine building time of a wallIn this question we must use the definition of inverse proportionality, in which the number of workers ([tex]n[/tex]), no unit, is inversely proportional to the building time ([tex]t[/tex]), in days.
According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:
[tex]x = 24\,days \times \frac{6}{9}[/tex]
[tex]x = 16\,days[/tex]
In this scenario, the wall can be built in 22 days. [tex]\blacksquare[/tex]
To learn more on inverse proportionality, we kindly invite to check this verified question: https://brainly.com/question/4838941
Use the explicit rule to find a12. an=-2n+8
Answers
The explicit rule formula an = -2n + 8 is an arithmetic progression
The value of a11 is -14
How to evaluate the explicit rule?The explicit rule formula is given as:
an = -2n + 8
Substitute 11 for n to calculate a11
a11 = -2 * 11 + 8
Evaluate the product
a11 = -22 + 8
Evaluate the sum
a11 = -14
Hence, the value of a11 is -14
Read more about explicit rules at:
https://brainly.com/question/12119793
A car used 1/81 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas? ??????????
Answers
Step-by-step explanation:
1/81 gallon for 1/4 mile.
what do I need to multiply 1/81 with to get 1 gallon ?
it is simple, right ? i need to multiply it by 81 to get 1 gallon.
in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :
1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles
so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.
If 1/10 of a scarf is knit in 48 minutes.what fraction of a scarf is knit in 1 hour
Answers
Answer:
1/8
Step-by-step explanation:
i believe this is the answer
Can someone help me pls
Answers
Answer:
The angle of KLM is 50°
Step-by-step explanation:
Used protractor
Answer:
∠ KLM ≈ 33.7°
Step-by-step explanation:
using Pythagoras' identity in right triangle JKM
KM² = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )
KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm
using the sine ratio in right triangle KLM
sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then
∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )
1. liola drives 130 m up a hill that has a slope of 7°. what horizontal distance, to the nearest hundredth of a
meter, has she covered?
o 129. 03 m
o 15. 84 m
o 15. 96 m
o 130. 97 m
Answers
The horizontal distance to the nearest hundredth of a meter, that Liola covered is 129.03 m (option A)
How to determine the horizontal distance?The following data were obtained from the question:
Hypotenuse = 130 mAngle (θ) = 7°Horizontal distance = Adjacent =?The horizontal distance Liola covered as she drives 130 m up the hill can be obtained as follow:
Cos θ = Adjacent / Hypotenuse
Cos 7 = Horizontal distance / 130
Cross multiply
Horizontal distance = 130 × Cos 7
= 130 × 0.9925
= 129.03 m
Thus, the horizontal distance Liola covered is 129.03 m (option A)
Learn more about horizontal distance:
https://brainly.com/question/23423790
#SPJ2
calculate the perimeter of a rectangle that is 5.5 c by 3.5 cm?
Answers
P = 2 x (5,5 + 3,5) = 18 cm
P = is the circumference of the figure
Answer:
the answer should be 18 cm
you can either do 2 × (length + width)
2 × (5.5 + 3.5)
2 × 9 = 18
or
5.5 + 5.5 = 11
3.5 + 3.5 = 7
11 + 7 = 18
either way it's 18, I hope this helps
What is the value of 6(2b-4) when b=5?
Answers
Answer:
Step-by-step explanation:
What is the value of 6(2b-4) when b =5 2. The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get.
can i have brainly please :) thanks bro
Answer: 36
Step-by-step explanation:
the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant
Answers
Answer:
950.331ft^3
Step-by-step explanation:
I hope this is correct...
I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.
How can you best describe a stop sign using polygons? The sign has sides, so it is. It appears to be because the sides and angles appear to be congruent.
Answers
The stop sign is an octagon or regular polygon.
It is given that a stop sign has 8 sides.
It is required to describe the sign using a polygon.
What is a polygon?It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.
We have a stop sign that has 8 sides.
As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.
The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.
Thus, the stop sign is an octagon or regular polygon.
Learn more about the polygon here:
https://brainly.com/question/17756657
Answer:
8, octagon, & regular
Step-by-step explanation:
I did it
please help it’s for my homework
Answers
Answer:
1st option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] , then
y = - [tex]\frac{4}{5}[/tex] x + c
to find c substitute (5, 1 ) into the equation
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - [tex]\frac{4}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )
5y = - 4x + 25 ( add 4x to both sides )
4x + 5y = 25 ← in standard form
please help me answer the question in the image
Answers
Answer:
2x/x+2
Step-by-step explanation:
Factor out 2x in the numerator
Then you get: 2x(x+4)
Factor the denominator
Two numbers that multiply to 8 and add to 6(2 and 4)
So you get: (x+2)(x+4)
Now you have: (2x(x+4))/(x+2)(x+4)
Simplify by cancelling the x+4
2x/x+2
Hey there!
Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]
Solving steps:-
[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]
~Done~