Write an expression to represent the perimeter of the triangle below in simplest form
Answers
Answer:
Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Step-by-step explanation:
Perimeter of a polygon = Sum of the measures of all sides of the polygon
From the picture attached,
Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side
P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]
= [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]
= [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]
= [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]
= [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Related Questions
Which equation is equivalent to x + x - (-3) = 12?
A. x2 + 3 = 12
B. x2 – 3 = 12
C. 2x + 3 = 12
D. 2x – 3 = 12
Answers
Answer:
C.) 2x+3 = 12
Step-by-step explanation:
x+x=2x
2x-(-3) is 2x+3
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Amy has $30 to spend she wants to buy 3 pounds of lemons at two dollars per pound a box of rice for four dollars and seven frozen dinners for three dollars each Will Amy have one dollar left over
Answers
Answer: Amy will not have one dollar left over , but she will have to add an extra dollar to buy all that stuff.
Step-by-step explanation:
First find the cost of the items she want to buy in total.
So she wants to buy 3 pound of lemons at two dollars per pound that will cost her $6.
Seven frozen dinners for three dollars each will cost her $21.
The box of rice will cost her $4.
Add the total cost together.
21 + 4 + 6 = 31
This means she will have to spend $31 in total and that is beyond her budget which is $30 dollars. This also means that Amy will not have one dollar left over but she will need to add one dollar.
Answer:
Amy won't have 1 dollar left, she will actually need 1 dollar because all of that would be 31 dollars.
Step-by-step explanation:
3 pounds of lemons= $6
1 box of rice= $4
7 frozen diners= $21
6+4=10
10+21=31
I need help on question 4 pls explain the answer thanks
Answers
Answer:
1. a
2. b
3. c
Step-by-step explanation:
1. a
For this first graph, we know that it matches a because of the domain. A tells us that the x≠-1. We know this because of the denominator.
(x+1)(x+1)=0 subtract both sides by 1]
x=-1
Therefore, a matches graph 1.
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2. b
For graph 2, we can see that the graph is under the x-axis, meaning it is all negative. The only option that gives us a negative point is b. You can tell by the negative sign in front of the square root.
Therefore, b matches graph 2.
------------------------------------------------------------------------------------------------------
3. c
For graph 3, we see that everything is above the x-axis, meaning the graph is always positive. The option that fits this is c. In c, there are absolute values. Absolute values tell us that the answer is always going to be positive.
Therefore, c matches graph 3.
Put the following numbers in order from least to greatest (put the lowest number on the left)
-63,-34,-68,-44,-47
Answers
Answer:
-68 < -63 < -47 < -44 < -34
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated
2) AC = x + 2, BC = 1, and AB = 2x - 4.
Find x, AB, and AC.
Answers
Answer:
x = 5 AB = 6 AC = 7Step-by-step explanation:
Points A, B, and C are collinear and point B is between A and C then
AB + BC = AC
2x - 4 + 1 = x + 2
2x - 3 = x + 2
+3 +3
2x = x + 5
-x -x
x = 5
AB = 2x - 4 = 2×5 - 4 = 10 - 4 = 6
AC = AB +BC = 6 + 1 = 7
The perimeter of the rectangle below is 84 cm. Write an equation and find the length and
width of the rectangle.
Answers
Answer:
w + w + L + L= 84 or 2w + 2L= 84
Step-by-step explanation:
what plus 26 makes 90 with 60?
Answers
Answer:
60+26=86. 90-86=4. So 4 is the answer.
Step-by-step explanation:
-5 + a =21 what’s A?
Answers
Answer:
A=21+5
A=26
Step-by-step explanation:
just shift 5 to right side
Hello! I'm having a really hard time solving this by Elimination and could really use some help
Answers
Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
This is to eliminate the z term.
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
Divide by 5 on both sides:
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
This is to eliminate z term.
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
Divide by 5 throughout.
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
You work side jobs for family and friends
which you charge $15 per job. You have
already made $75. How many more jobs do
you have to work if you try to save for a
concert ticket that costs $300?
Answers
Because
300-75= 225
225/15=15
Therefore 15 is the answer
Answer:
15 more jobs
Step-by-step explanation:
So you do 15 x 15 and that equals 225. Then you take 225 + 75 and that equals 300 so in total you just need 15 more jobs to get 300 dollars.
X+20+x+48=180 can someone plz answer
Answers
Answer:
x = 56
Step-by-step explanation:
Step 1: Write out equation
x + 20 + x + 48 = 180
Step 2: Combine like terms (x)
2x + 20 + 48 = 180
Step 3: Combine like terms (constants)
2x + 68 = 180
Step 4: Subtract 68 on both sides
2x = 112
Step 5: Divide both sides by 2
x = 56
How do you find 2-4-n=
Answers
Answer:
[tex]a^{3}[/tex]=-5
Step-by-step explanation:
a group of 4 students needs to share 20 paper clips equally. how many paper clip does each students get
Answers
Answer:
5 paper clips each
Step-by-step explanation:
20/4 = 5
Answer:
They each get 5
Step-by-step explanation:
What is the equation of the line with slope of – 5 and passes through (2, – 3)?
Answers
Answer:
y = -5x + 7
Step-by-step explanation:
Graph has a slope of -5, which is the gradient
y = -5x + c
To find c you have to sub in the point (2, -3)
-3 = -5(2) + c
-3 + 10 = c
c = 7
Hence equation is:
y = -5x + 7
4d + 7e = 68 -4 - 6e = -72
Answers
Answer:
Step-by-step explanation:
4d + 7e = 68
-4d - 6e = -72
e = -4
4d + 7(-4) = 68
4d - 28 = 68
4d = 96
d = 24
(24, -4)
Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions
Answers
Answer:
$1.40/ hour
Step-by-step explanation:
The rate of the deductions is
Full amount minus new amount. This is the amount taken per hour
$6.50/ hour -$5.2/hour = rate
$1.40/ hour
What are the coordinates of point S?
Answers
Answer:
The coordinates of S is (-2,2)
Solve by elimination
3x-30=Y
7y-6=3x
Answers
J is the midpoint of CT
T
If:
CJ = 4x - 9 and
JT = 9x – 34
Find CT.
Answers
Answer:
Step-by-step explanation:
4x - 9 = 9x - 34
-5x - 9 = -34
-5x = -25
x = 5
4(5) - 9 + 9(5) - 34
20 - 9 + 45 - 34
11 + 11 = 22
The value of CT such that J is the midpoint of CT will be 22.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
J is the midpoint of CT
CJ = JT
4x - 9 = 9x - 34
-9 + 34 = 9x - 4x
25 = 5x
x = 5
So CT = 2(CJ) = 2(4 x 5 - 9) = 22
Hence "The value of CT such that J is the midpoint of CT will be 22".
For more about the number system,
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A tennis team bob 8 yards of red fabric to make headbands if each hair band takes 2/3 of a yard of fabric how many hamburgers can the team make? You would use? To solve this problem. The tennis team can make? Head bands
Answers
Answer: the amount of headbands they can be able to make is 12
Answer:
Division and 12
Step-by-step explanation:
Hope this helps!^^
Evaluate a+b+c when a=4.035, b= -17, and c=12.3
Answers
Please help me with this is so important
Answers
Step-by-step explanation:
78 + 119 + 105 + (180 - x) = 360
482 - x = 360
482 - 360 = x
122 = x
x = 122°
Answer:
it is trapezium and all angles value is 360 degree and three angles values are given then let unknown angle be y and add three angles then subtract value from 360 degree then add the value with x and subtract that value from 180 degree
Find the distance between the points (8,3) and (2,7) the answer must be a whole number
Answers
Answer:
let (8,3) be (x1,y1)
(2,7) be (x2,y2)
using distance formula
√[(x2-x1)²+(y2-y1)²]
√(2-8)²+(7-3)²
√(36+16)
√52
-14+7-9r+13r someone please helpp !
Answers
Answer:
4r-7
Step-by-step explanation:
-14+7-9r+13r
combine like terms
4r-14+7
combine like terms
4r-7
hope this helped :)
Answer:
-7 + 4r
Step-by-step explanation:
You need to combine like terms for this problem. All the basic numbers(without the r) are added together. -14 + 7 = -7. Then the numbers with the r's are added together. -9r + 13r = 4r. This comes out to -7 + 4r
Discuss the continuity of the function (tan^-1 x)/x at x= 0
Answers
Step-by-step explanation:
This graph has a vertical asymptote at x=0, this means that it is not continues at x=0. However as the Limit, x approches 0, it is very close to 57.296.
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation
Answers
Answer:
He would use mean as a statistic to compare the spread of the two sets of data.
Step-by-step explanation:
What is mean?
Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values
What is statistic?
A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.
The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.
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Answer:
D. standard deviation
Step-by-step explanation:
100% on edge
Cual es el perímetro de un rectángulo, si se sabe que el largo mide 6 cm y su ancho, 4 cm?
Answers
Answer:
20
Step-by-step explanation:the trabslation is 'whats the perimiter of a rectanglr if its lenght is 6cm and its width is 4cm'
Thomas the giant gorilla climbed to the top of the building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground. First person to answer gets brainliest
Answers
Answer:
13
Step-by-step explanation:
time=distance÷speed
650÷50=13
The time taken by the gorilla to hit the ground will be 13 seconds.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that Thomas the giant gorilla climbed to the top of the building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second.
The time taken by the gorilla will be calculated by the formula of speed below,
Speed = Distance / Time
Time = Distance / Speed
Time = 650 / 50
Time = 13 seconds
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need help on question 4??
Answers
HK consists of two part, HJ and JK
HK = HJ + JK
We know that:
HK = 12.2ft
JK = 3.1ft
HJ = ?
Let's plug our values into the equation above.
12.2ft = HJ + 3.1ft
Subtract 3.1ft from both sides.
9.1ft = HJ
The sum of 3 and x is less than 7.
What number sentence represents the statement?
O A. 3x<7
OB. 3+x<7
O C. 3x>7
OD. 3+x>7
Answers
Answer: The answer is B
Step-by-step explanation: Hope this helps xd