The triangle shown at the right is isosceles that is it has two sides equal length the third side is 30 m shorter than twice the length of each congruent side the perimeter is 570 find the length of each side
Answers
Final Answer:
2(x−15)
Step 1: Translate the problem into a system of equations
We are given that the triangle is isosceles, meaning two sides have the same length. Let's call this length x. The third side is 30 meters shorter than twice the length of each congruent side, so it has a length of 2x−30. The perimeter of the triangle is the sum of all three side lengths, which is equal to 570 meters.
Therefore, we can set up the following equation:
x+x+(2x−30)=570
Step 2: Solve the system of equations
Combining like terms, we get:
4x−30=570
Adding 30 to both sides, we get:
4x=600
Dividing both sides by 4, we get:
x=150
Step 3: Find the side lengths
Now that we know the value of x, we can find the lengths of all three sides:
The first and second sides have a length of x, which is 150 meters each.
The third side has a length of 2x−30, which is 2(150) - 30 = 270 meters.
Answer:
The lengths of the sides of the triangle are:
First side: 150 meters
Second side: 150 meters
Third side: 270 meters
Final Answer:
2(x−15)
The probbale question can be: The triangle shown at the right is isosceles. That is, it has two sides of an equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570 m. Find the length of each side.
R 10 m; 6 m; 9 m
X
X
2x - 30'
Related Questions
The chart describes four situations involving financial responsibility. Financial Responsibility Person Financial Decisions Hallie Has multiple loans at the same time Hayden Has more income than the amount of debt Alison Made payments less than the minimum amount due Joel Made late payments several times before the bill was paid Which person is financially responsible?
Answers
Answer:
Hayden
Step-by-step explanation:
Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.
Hallie has multiple loans at the same time; this is not financially responsible.
Hayden has more income than the amount of debt; this is financially responsible.
Alison made payments less than the minimum amount due; this is not financially responsible.
Joel made late payments several times; this is not financially responsible.
Hayden is financial responsible.
What is Financial responsibility?Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.
As, Hallie has multiple loans at the same time which is not financially responsible.
Hayden has more income than the amount of deb which is financially responsible.
Alison made payments less than the minimum amount due which is not financially responsible.
Joel made late payments several time which is not financially responsible.
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How to determine a quotient in simplest form
Answers
Answer:
To find the quotient of 2 fractions, you have to change the division sign too a multiplication sign, and flip the second fraction, and multiply.
An example (the answer to the first question)
1/2 ÷ 1/4 = 1/2 * 4/1 = 2
Hope this explanation helped! If you want the answers to all the questions, please just tell me and I will answer whenever I have some free time! I would also appreciate a Brainliest.
Write two linear expressions with a sum of -5x+4
Answers
The two linear expressions are;
⇒ - 15x + 8 and 10x - 4
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The value of two linear expressions with a sum of -5x+4.
Now,
Let the two linear expression as;
⇒ - 15x + 8 and 10x - 4
After adding, we get;
⇒ - 15x + 8 + 10x - 4 = - 5x + 4
Thus, The two linear expressions are;
⇒ - 15x + 8 and 10x - 4
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math question down below
Answers
x = 32-9
so,
option c is correct.
x + 9 = 32
9 = 32 - x
so, option d is also correct.
Which expression is equivalent to 3.7−6.4 ?
6.4 + 3.7
6.4−3.7
−6.4+3.7
−6.4−3.7
Answers
−6.4+3.7 is equivalent to 3.7−6.4
Further explanationDecimal numbers are numbers in which there are commas or decimal points.
The value of each number in decimal numbers is based on a comparison of the number 10
In a decimal system, the numbers have the following consecutive values (the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths , hundred thousandths
Between ones and tenth values separated by commas (decimal points)
Decimal numbers can also be expressed as proper or mixed fractions
The position of each digit in decimal numbers is important.
Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller
On the left of the decimal point is a whole number
"Equivalent to" mean having the same value.
In the decimal addition operation, we must pay attention to the place value
Addition between decimal numbers must be the same place value, for example between hundreds with hundreds, ten with ten and so on
Or if we use a vertical addition system, one under the other, pay attention to the decimal point, must be straight from top to bottom
In this addition operation we check the results of the addition of each decimal number operation
Question :3.7−6.4 = - 2.7
Answer choices :a. 6.4 + 3.7 = 10.1
b. 6.4 - 3.7 = 2.7
c. -6.4 + 3.7 = -2.7
d. - 6.4 - 3.7 = -10.1
Answer choices that have the same result is option C
Or simply this is the commutative form of addition operations
a + b = b + a (a = -6.4, b=3.7)
-6.4+3.7 = 3.7 +(-6.4)
-6.4+3.7 = 3.7 - 6.4
Learn moreplace value
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the place value: 12,354,897
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Round 141,999 to the nearest tenth, hundredth, ten, and hundred.
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Keywords: decimal, decimal point, addition, equivalent to
The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.
Further explanation:
Given:
The options are as follows,
A. [tex]- 17 + 2x[/tex]
B. [tex]- 2x + 17[/tex]
C. [tex]- 2x -17[/tex]
D. [tex]17 + 2x[/tex]
Explanation:
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
[tex]\boxed{a + \left( {b + c} \right) = \left( {a + b} \right) + c}[/tex]
In commutative property we interchange the numbers or digits.
This property can be used for multiplication and addition. It cannot be used in division and subtraction.
Commutative property for addition is [tex]\boxed{x + y = y + x}[/tex]
The expression is [tex]3.7 - 6.4.[/tex]
[tex]A = 3.7 - 6.4[/tex]
By commutative property of addition the expression can also be expressed as follows,
[tex]\begin{aligned}A&= 3.7 - 6.4\\&= - 6.4 + 3.7\\\end{aligned}[/tex]
The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: expression, equivalent, division, equation, multiplication, exponents, parenthesis.
What's the answer for 3/4 (x+3)=9
Answers
[tex]\displaystyle{ \frac{3}{4}(x+3)=9 [/tex]
first, multiply both sides by 4:
[tex]\displaystyle{ \cancel{4} \cdot \frac{3}{ \cancel 4 }(x+3)=4\cdot 9 [/tex]
[tex]\displaystyle{ 3(x+3)=36[/tex]
divide both sides by 3:
[tex]x+3=12[/tex]
add -3 to both sides:
[tex]x=9[/tex]
Answer: x=9
Evaluate.
3^−1⋅(4⋅6)⋅2^−3
plz be sure to explain
Answers
Parenthesis, exponents, multiplication/division, add/subtract
So look for parenthesis first so we have (4*6)=24
3^-1*24*2^-3
Now look for exponents
3^-1= 1/3 because 3^1 = 1/3
and
2^-3=1/( 2*2*2) = 1/8
= (1/3)*24*(1/8 )
now multiply from left to right.
(1/3)*24= 8
8*(1/8)= 1
final answer being 1
Tom rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 90 cents for each mile driven. Tom had to pay $190.69 when he returned the truck. For how many miles did he drive the truck?
Answers
Cinema tickets for 1 adult and 3 children cost €27. The cost for 2 adults and 5 children is €48. Find the cost of one adult ticket and the cost of one child ticket.
Answers
then
1X+3Y=27 (1)
2X+5Y=48 (2)
From (1) we see that X=27-3Y
Lets replace X in (2) with this formula
2(27-3Y)+5Y=48 or 54-6Y+5Y=48 and 54-Y=48 and Y=54-48 so Y=6
From (1) X=27-3*6; X=27-18; X=9
Adult = 9€
Child = 6€
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?
Answers
hope this helps
Answer: The point slope form of the equation for this line is given by
[tex]y-8=-(x+3)[/tex]
Step-by-step explanation:
Since we have given that
The slope intercept form of the equation of a line is given by
[tex]y=-x+6-------------------(1)[/tex]
Line passing through a point is given by
(-3,8)
So, from the equation (1), we get that
m = Slope of line = -1
So, Point slope form of the equation of the line is given by
[tex]y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)[/tex]
Hence, the point slope form of the equation for this line is given by
[tex]y-8=-(x+3)[/tex]
James says that 12 is a common factor of 3 and 4.june says that 12 is common multiple of 3 and 4.who is correct.
Answers
When you are dealing with factors, you have to think of what numbers multiply to get the number I see.
Let's say the number is 10. What numbers can be multiplied to get 10.
Well, there is 1, 10, 2, 5 so all of those numbers are factors of 10.
When you are dealing with multiples, you have to think of the opposite. If the question asks is 12 a multiple of 3 and 4, than you have to think...If I multiply a number by 3 could I get 12 and... If I multiply a number by 4 could I get 12. The answer is yes you could multiply 3 and 4 and 4 and 3 to get the number 12. That makes 12 a multiple.
write each ratio as fraction in simplest form. Then explain it 2 drums, 4 flutes
Answers
WILL GIVE BRAINLIEST Which expression is equivalent to −10+(−40)+(−90) ?
A. −10 − (40−90)
B. −10 + (−90)+(−40)
C. −(10−40) + (−90)
D. 10 + 40 + 90
Answers
Alan and Margot drive from City A to City B a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at city B at 4:15 p.m. . Margot's trip from City A to City B can be described with the equation y=64x, where y is the distance traveled an dx is the time in minutes spent traveling. Who gets from City A to City B faster?
Answers
is 0.329 rational or irrational
Answers
rx+9/5=h solve for x
Answers
The length of 2 sides on an isosceles triangle is 15. What is the range of possible lengths for the other leg? Explain.
Answers
Also the third side must be less than the sum of the 2 equal sides.
So the range for the third side x is 0 < x < 30
Unless you meant that sum of the 2 equal sides is 15 in which case the answer is
0 < x < 15.
I need help with slope
Answers
At the beginning of January, Mr. Howard gives his niece $1 to start a savings account, for each month that she can triple the amount in the account, Mr. Howard will double the amount in the account at the end of each month. How much does Mr. Howard's niece in her account at the beginning of May?
Answers
The requried, at the beginning of May (the fifth month), the niece will have $162 in her account.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
In the first month, the niece has $1 in her account.
In the second month, she triples that amount to have $3, and Mr. Howard doubles it to $6.
In the third month, she triples $3 to have $9, and Mr. Howard doubles it to $18.
In the fourth month, she triples $9 to have $27, and Mr. Howard doubles it to $54.
So at the beginning of May (the fifth month), the niece will have 54×3 = $162 in her account.
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What is 0.00037 written in scientific notation
Answers
You have to move the decimal four places to the right which gives you 10^-4 then you get 3.7
The Scientific notation of numbers is,
⇒ 3.7 × 10⁻⁴
We have to give that,
A standard form of number is,
⇒ 0.00037
Since Scientific notation is a way of writing very large or very small numbers.
For example; 230,000,000 can be written in scientific notation as
2.3 x 10⁸.
Hence, the Scientific notation of numbers is,
⇒ 0.00037
⇒ 3.7 × 10⁻⁴
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What is the answer to -24+2(y-9)
Answers
Which two decimals are equivalent to 0.6?
a. 6 and 60
b. 0.06 and 0.060
c. 0.006 and 0.0060
d. none of the above
Answers
0.6 would be equivalent to 0.60 and 0.600 and 0.600000...but none of the above answers
What's .0575 rounded to nearest tenth
Answers
correct answer
Find the common ratio, r, in the following geometric sequence. 27, 9, 3, 1,…
3
-3
1/3
-9
Answers
divide by the previous numb/number beside it:
[tex]\frac{9}{27}=\frac{1}{3},\:\quad \frac{3}{9}=\frac{1}{3},\:\quad \frac{1}{3}=\frac{1}{3}[/tex]
so [tex]r=\frac{1}{3}[/tex]
27/3 = 9
9/3 =3
3/3=1
Read the problem in the box below. Make a list to help you find the correct answer.
Answers
Solve the quadratic by quadratic formula below
x squared-14x=-49
Answers
Factor
(x-7)(x-7)
Check
-7-7=-14
-7*-7=49
Use ZPP
x-7=0
x=7
Final answer: x=7
General Formula= b+ or - √b²-4ac/2a by substituting gives us
-14+ or - √0/2 so we have one answer because 4ac is to b2 and √0 = 0 -14/2 = -7 The answer is one solution -7. If you want and extra hint there it is: b²-4ac is called the discriminant because it shows you how many solutions the equation will have if it's positive then it's 2 solutions and if it's zero then it's one solution and if it's negative no solution because b²-4ac is under a root and if a negative number is under a square root then it's undefined.
What could be an expression/equation for this problem? Please help :(
Answers
y = 300 - 4x
y = -4x + 300
Hope this helps!
Complete the statement: 567g = ______ hg.
56.7
567
5.67
0.567
Answers
To convert from grams to hectograms, you divide the number of grams by 100. So, 567 grams is equivalent to 5.67 hectograms.
Explanation:The question involves the conversion from grams (g) to hectograms (hg). To convert from grams to hectograms, you divide the number of grams by 100, because there are 100 grams in 1 hectogram. So, to convert 567 grams into hectograms:
Step 1: Divide the number of grams by 100. This can be written as:
567 ÷ 100 = 5.67
So, 567 grams is equal to 5.67 hectograms.
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What is the answer to 5x6+6x3+4x9
Answers
P
E
M
D
A
S
So multiply 5x6 to get 30
Then times 6x3 to get 18
Next times 4x9 to get 36
Add 30, 18, and 36 together to get
84
a pressure of 1036.0 mb when converted to invest would equal A. 30.50 in
B. 30.59 in
C. 30.60 in
D. 30.55 in
Answers
The pressure of 1036.0 mb converts to 30.59 inches of mercury (in. Hg) using the conversion factor that 1 inch of Hg is approximately 33.8639 mb.
A pressure of 1036.0 mb (millibars) when converted to inches of mercury (in. Hg) is equivalent to 30.59 inches. This conversion is relevant in fields like meteorology and aviation where pressure readings are essential. To convert millibars to inches of mercury, one must use the conversion factor that 1 inch of Hg is approximately equal to 33.8639 mb. Therefore, the calculation would look like this:
Start with the given pressure: 1036.0 mb.Use the conversion factor 1 in. Hg = 33.8639 mb.Divide 1036.0 mb by 33.8639 mb/in. Hg to get the pressure in inches of mercury.1036.0 mb / 33.8639 mb/in. Hg = 30.59 in. Hg.This means the correct answer is B. 30.59 in.