Question 9
An isosceles triangle and a square are shown below. If the perimeter of the triangle is 27 more than the
perimeter of the square, find the value of x.
Answers
Answer:
x = 9
Step-by-step explanation:
equation:
3x + 3x + x = x + x + x + x + 27
simplify:
7x = 4x + 27
3x = 27
x = 9
Related Questions
Solve: sqrt(x+9) = x-3
Answers
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[tex] \sqrt{x + 9} = x - 3[/tex]
Sides gets power 2
[tex] ({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2} [/tex]
[tex] |x + 9| = {x}^{2} - 6x + 9 [/tex]
_________________________________
[tex]x + 9 = {x}^{2} - 6x + 9[/tex]
Subtract sides 9
[tex]x + 9 - 9 = {x}^{2} - 6x + 9 - 9[/tex]
[tex]x = {x}^{2} - 6x[/tex]
Subtract sides x
[tex]x - x = {x}^{2} - 6x - x[/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex]x(x - 7) = 0[/tex]
[tex]x = 0[/tex]
OR
[tex]x - 7 = 0[/tex]
[tex] x = 7[/tex]
_________________________________
[tex]x + 9 = - ( {x}^{2} - 6x + 9)[/tex]
[tex]x + 9 = - {x}^{2} + 6x - 9[/tex]
Subtract sides 9
[tex]x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\ [/tex]
[tex]x = - {x}^{2} + 6x - 18 [/tex]
Subtract sides x
[tex]x - x = - {x}^{2} + 6x - 18 - x [/tex]
[tex] - {x}^{2} + 5x - 18 = 0[/tex]
Multiply sides by -1
[tex] {x}^{2} - 5x + 18 = 0 [/tex]
[tex]x = No \: \: solution[/tex]
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CHECK the roots :
[tex]x = 0[/tex]
[tex] \sqrt{0 + 9} ≠0 - 3[/tex]
[tex] \sqrt{9} ≠ - 3[/tex]
[tex]3≠ - 3[/tex]
Thus (( x = 0 )) is unacceptable.
+++++++++++++++++++++++++++++++++++++++
[tex]x = 7[/tex]
[tex] \sqrt{7 + 9} = 7 - 3[/tex]
[tex] \sqrt{16} = 4[/tex]
[tex]4 = 4[/tex]
Thus (( x = 7 )) is the only solution for x.
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Done...
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transposing method
+ 21 = 5
how to do ?
Answers
[tex]x + 21 = 5[/tex]
[tex]x = 5 - 21[/tex]
[tex]\color{hotpink}x = ( - 16)[/tex]
Let us check whether or not we have found out the correct value of x , by placing -16 in the place of x :-
[tex] - 16 + 21 = 5[/tex]
[tex] 5=5[/tex]
[tex]\color{hotpink}LHS = RHS [/tex]
As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .
Therefore , the value of :-
[tex]\color{hotpink}x \color{olive}=\color{hotpink} ( - 16)[/tex]
Please HLEP me
I’ll give u brainlist ♥️
Answers
Answer:
9. 1:210. x = 1011. x = 1212. A = 8789 ft²Step-by-step explanation:
see attached image
Write the Equation in standard form The line which passes through (1,-4) and (-1, 6)
Answers
a) Simplify
7(x - 2)2
7X = 2
Please
Answers
Answer:
49 x2 + 28 x + 4
Step-by-step explanation:
Is the function g(x)= -2x^2 -2x+7 linear or nonlinear?
HELPP plsss
Answers
Answer:
Is non-linear
Step-by-step explanation:
It is a quadratic function
You earn $15.25 an hour. Your brother earns $10.25 an hour. You pay $30 a week for lunches, and your brother pays $15 a week. If both of you work the same number of hours in a week, which inequality can be used to find x, the number of hours you will have to work so that the amount of money you have is greater than the amount your brother has after you both pay for lunch?
Answers
Answer:
15.25+15.25=20.50+15.25=35.75.
3 hours will give you $35.75
Step-by-step explanation: All you have to do is add till you have enough
a six pack of soda is on sale
Answers
Answer:
that is not complete you would need the starting price and the percentage
hope that helps good luck
Answer:
what's the question?
Step-by-step explanation:
i dont know cz u didnt put the question n only a lil bit of information
Write 3x --1 + 5x + 7 in simplest form.
Answers
Answer:
8x+6
Step-by-step explanation:
ANSWER NEEDED ASAP
In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles. angles congruent to ∠1 angles congruent to ∠2 angles congruent to ∠7 angles congruent to ∠6 ∠3,∠7,∠6 arrowRight ∠3,∠7,∠2 arrowRight ∠4,∠8,∠5 arrowRight ∠3,∠6,∠2 arrowRight
Answers
Answer:
angles 3, 7, and 6 are congruent to angle 2
angles 3, 7, and 2 are congruent to angle 6
angles 4, 8, and 5 are congruent to angle 1
angles 3, 6, and 2 are congruent to angle 7
Please mark Brainliest
Answer:
∠3,∠7,∠2 congrent to 6
∠3,∠7,∠6 congruent to 2
∠4,∠8,∠5 congruent to 1
∠3,∠6,∠2 congruent to 7
Step-by-step explanation:
Name the remainder for the quotient and describe or show how you found the remainder.
Answers
Answer:
remainder = 0
Step-by-step explanation:
Using the remainder theorem
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) = x³ - x² - 17x - 15 and h = 5 , thus
f(5) = 5³ - 5² - 17(5) - 15 = 125 - 25 - 85 - 15 = 0 ← remainder
Since remainder is zero then (x - 5) is a factor of f(x)
What percentage of 80 is 67
Answers
Answer:
83.75%
Step-by-step explanation:
67/80 = 83.75%
Forty infants are being studied to test the effectiveness of diaper capacity on four types of diapers: ABC, and D The researcher calculates diaper's actual capacity compared with its listed capacity. The response variable is the amount of capacity after one hour of treatment. Previous studies have shown the may vary based on subject's activity levelHow should the subjects be blocked? Explain
Answers
Answer: They should be blocked by activity level so the subjects are as similar as possible.
Step-by-step explanation:
Blocking is used to account for suspected differences in experimental units or subjects. In this case, the study wanted to take into account the difference in activity levels, which can affect the diaper's capacity as described in the paragraph.
Need help on this please Help. I would really appreciate it :)
Answers
Answer:
i am not sure but according to me ans is d
Step-by-step explanation:
Ax+By=C
Ax=C-By
A=C-By/x
Kelvin measured the distance from his door to the park. It is 1.5 miles. The distance from Kelvin’s house to the library is twice the distance from Kelvin’s door to the park. How far is it from Kelvin’s to the library?
Answers
Answer:
2.25
Step-by-step explanation:
1.5x1.5= 2.25
it is 1.5 mi from kelvins door to the park, it is 2.25 mi from kelvins house to the library.
hope this helps, let me know if you need more explaining
Answer:
3 miles
Step-by-step explanation:
1.5+1.5=3 miles
Macy estimated a product to be 800. The actual product is 768. Her estimate was an
A. overestimate
B. underestimate
Answers
Answer:
Overestimate
Step-by-step explanation:
it would be an underestimate if the number was lower than the actual number but since its larger than it is an overestimation.
hope this helps
in a class of 30 students 60% said they walk to school
Write a proportion that you could use
to determine the number of students in
the class who walk to school.
Answers
moan and groan a lot ghjiouygbnjkh
help asap
..........
Answers
zvzvhbhbj jnj
wendy already spent $10 on a necklace, and each additional charm is priced at $2 each. write a function that shows the relationship between the number of charms purchased, x and the total cost, f( x)
Answers
Answer:
f(x) = 2x + 10
Step-by-step explanation:
The amount of charms represents x, or the variable. The price of the charm is represented by 2, or the slope. The necklace is the constant, represented by 10.
SOMEONE PLEASE HELP I need the answer AsAP
Answers
Answer:
it is d
Step-by-step explanation:
A certain video game console uses 154 watt-hours of energy each hour.
The console used 276 hours last year.
How many watt-hours of energy did the console use?
Use any method to solve this problem. You must show all your work.
Then, explain your reasoning and the steps you took to solve the problem.
Answers
Answer:
42,504 watts
Step-by-step explanation:
154x276hours=42,504watts
Answer:
42504
Step-by-step explanation:
As it uses 154 watt-hours per hour, in 276 hours, it would use 42504 as we would multiply the energy usage by the amount of hours used:
154 watt-hours = 1 hour
276 hours = 42504 watt-hours
276*154 = 42504
Madyson goes to a restaurant with her best friend, Taylor. The two girls order a meal, Madyson's meal costs $23.75 and Taylor's meal is $15.00. They want to leave a tip of 15% how much money would it cost altogether without tax?
Answers
Answer:30.75
$23.75 +$15.00=30.75
5+3=6
21=3
HAAAAALP PLEASE BRAINLIEST PLEASE TRY
Answers
Answer:
D.
Step-by-step explanation:
To make banana bread, Colin uses 3/4of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
Answers
Answer:
The answer is 3/8
Step-by-step explanation:
Set up a table to get one you divide 2 by 2 so then you have to divide 3/4 by 2 and that gets you 3/8
what is 5 divided 1/3
Answers
Answer:
15
Step-by-step explanation:
basic math.
Answer:
its 15 i believe
Step-by-step explanation:
Elena has some bottles of water that hold 17 fluid ounces each.
A. Write and equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces.
B. How much water is in 51 bottles?
C. How many bottles does it take to hold 51 fluid ounces of water?
Answers
Answer:
Step-by-step explanation:
A: W=17b
B: 867
C: 7.28
i need HELP!
Model the following situation with an equation or inequality statement.
The quotient of forty-nine and a number is greater than or equal to seven.
Answers
49 ÷ x ≥ 7
hope this helps! :):)
7m-3n-4m-7n+3
can someone tell me what is the answer please
Answers
Answer:
7m-3n-4m-7n+3 = 3m-10n+3
7-4=3
-3-7=-10
someone please answer ASAP
Answers
(7 + 3i) - (2 + 3i) =
A. -5
B. 5
C. 5-6 i
Answers
Remove the parentheses
7+3i-2-3i
Since two opposites add up to zero, remove them form the expression
7-2
Subtract the numbers
5