LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN= 4x + 3 and MP = 8x -9
X=
Answers
Solution:
We know that:
Given diagonals: LN and MPLN and MP must be equal because they are diagonals of LMNP.LN = 4x + 3MP = 8x - 9Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9
Let's simplify the equation to find x.
Subtracting 4x both sides.
[tex]4x + 3 = 8x - 9[/tex]=> [tex]4x - 4x + 3 = 8x - 9 - 4x[/tex]=> [tex]3 = 4x - 9[/tex]Add 9 both sides.
=> [tex]3 = 4x - 9[/tex]=> [tex]3 + 9 = 4x - 9 + 9[/tex]=> [tex]12 = 4x[/tex]Divide 4 both sides.
=> [tex]12 = 4x[/tex]=> [tex]\frac{12}{4} = \frac{4x}{4}[/tex]=> [tex]x = 3[/tex]Now, let's find the length of each diagonal.
[tex]LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units[/tex][tex]MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units[/tex]
Diagonals are equal
[tex]\\ \rm\Rrightarrow 4x+3=8x-9[/tex]
[tex]\\ \rm\Rrightarrow -4x=-12[/tex]
[tex]\\ \rm\Rrightarrow x=-12/-4[/tex]
[tex]\\ \rm\Rrightarrow x=3[/tex]
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Answer:
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Step-by-step explanation:
You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 5% of sales per month. The second site features a triple net lease with these monthly terms: rent is 4% of sales, insurance is $200, maintenance is $55, utilities total $300, and property tax is $200. Your business plan estimates your monthly sales to average $97,000. Which lease is better for you financially?
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Step-by-step explanation:
Rate of change is the change in y over the change in x. The change in y based on the plotted points is 12, and the change in x is just 1. So, 12/1=12.
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Choose 1 answer:
(Choice A)
A
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(Choice B)
B
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(Choice C)
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Answer:
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Step-by-step explanation:
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to
The product of 5 and x decrease by 7 is as much as 42.
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You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound
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Answer:
$8/pound
Step-by-step explanation:
$40 ÷ 5 lbs = 8$ per pound
Step by step explanation =
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Simplify 5⁶/5³
A. 5³
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D. 1²
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Step-by-step explanation:
Answer:
A. 5^3
Step-by-step explanation:
5^6 = 15625
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a) The card states that it makes 60 cookies. How much flour is required for 30 people?
b) The card states that it makes 60 cookies. How much salt is required for 30 people?
Answers
Answer:
assuming each person gets one cookie
a 1 1/4 C
b 3/8 tsp
Step-by-step explanation:
divide recipe in half
a 2.5/2=1.25
b 3/4 ÷ 2 ; rewrite to 6/8 ÷2 = .375
PLEASE HELP, trying to do this escape room level and i have no clue what to do.
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Answer:
6688
Step-by-step explanation:
I think, I hope!
The correct sequence for the numbers that are given will be:
64084608084608468064How to depict the numbers?It can be seen that from the information given, a number has been attached to each diagram. This will be used in answering the questions given.
Therefore, the correct sequence for the numbers are given will be 6408, 4608, 0846, and 8064.
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Help view the picture find the value of p
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Answer:
the answer of the problem p=32
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Step-by-step explanation:
[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]
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Answer:
5.25/25=0.21
Step-by-step explanation:
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Here, given that,
A store sells a package of 25 trading cards for $5.25.
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=0.21
(to find this you can do 0.21 times 25 which gets 5.25 )
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Checking Your Understanding
Quick
Check
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team
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(6 boys, 12 girls)
Answer:
There are 6 boys and 12 girls on a soccer team.
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Step-by-step explanation:
Plz mark me as Brainlist
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In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
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Answer:
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Step-by-step explanation:
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======================================================
Explanation
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laun
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Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
Reset
Submit
Submit
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Answer: 16.67% for question 1
83.33% for question 2
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1/6 as a percent is 16.67% because the is only 1 correct number
5/6 as a percent is 83.33% because there is 5 wrong numbers
Answer:
Step-by-step explanation: 1/36
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Step-by-step explanation:
Solve the inequality. Graph your solution.
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M<-6 is the answer
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divide -2 on both sides and 12÷-2 is -6 so m<-6
which repersents the slope of a line that is parallel to a line with the slope of -2
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-2
Step-by-step explanation:
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The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.
Answers
The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]
The solution to the equation is [tex]x=1.25[/tex]
First, you must set up the equation.
[tex]5x+6(0.95)=11.95[/tex]
Then, you must simplify the terms.
[tex]5x+5.7=11.95[/tex]
Next, subtract 5.7 on both sides.
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Finally, divide 5 on both sides
[tex]x=1.25[/tex]
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
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============================================
Work Shown:
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2÷3
Step-by-step explanation:
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Answer:
I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.
Step-by-step explanation:
This is how i got me answer:
z=9
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think you could help i don't understand
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Answer: it is the alphabet
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The number of rate eaten by dog after 200 minutes: 2 pounds
What is ratio & proportion ?A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.
Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.
We can use proportion to solve this problem:
If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.
Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.
So the dog will have eaten 2 pounds of food after 200 minutes.
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Ella completed the following work to test the equivalence of two expressions.
What conclusion can you draw from Ella’s work?
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Step-by-step explanation:
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can you add the photo
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
x=27
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1. Anthony's team won the basketball game, scoring seventy-two points.The
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