Answers
Answer:
MK = 23
Step-by-step explanation:
Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:
2x + 5 = 7x - 40
subtract 5 from both sides
2x = 7x - 45
subtract 7x from both sides
-5x = -45
divide by -5
x = 9
Now input 9 into the equation
MK = 7(9) - 40 = 63 - 40 = 23
The value of MK is 23.
We would need to apply our knowledge of the property of rectangles to solve the given problem.Recall:The diagonals of a rectangle that intersect each other are equal (a property of a rectangle).
Thus:[tex]JL = 2x + 5 $ (given)\\\\MK = 7x - 40 $ (given)[/tex]
Therefore:
[tex]JL = MK[/tex] (diagonals of rectangle JKLM)Substitute[tex]2x + 5 = 7x - 40[/tex]
Collect like terms[tex]2x -7x = -5-40\\\\-5x = -45[/tex]
Divide both sides by -9[tex]x = 9[/tex]
Find [tex]MK[/tex]:[tex]MK = 7x - 40[/tex]
Plug in the value of x[tex]MK = 7(9) - 40\\\\MK = 63 - 40\\\\MK = 23[/tex]
Therefore, the value of MK is 23.Learn more here:
https://brainly.com/question/1675446
Related Questions
10=95/2+4^2x
Please show step by step, I am having trouble with logarithms.
Answers
Answer:
x = [tex]-\frac{75}{32}[/tex]
Step-by-step explanation:
10 = [tex]\frac{95}{2}[/tex] + [tex]4^{2}[/tex] * x
10 = [tex]\frac{5 * 19 }{2}[/tex] + ([tex]2^{2}[/tex])²x
10 = [tex]\frac{5 * 19 }{2}[/tex] + [tex]2^{2*2}[/tex] * x
x = [tex]-\frac{75}{32}[/tex]
You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?
A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67
Answers
P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula
PLEASE HELP FAST!!!Which is the best description for the graph?
Which Answer is correct?
A. The graph is increasing everywhere.
B. The graph is decreasing everywhere.
C. The graph is increasing, then decreasing.
D. The graph is decreasing, then increasing.
Answers
Answer:
I believe the answer would be B
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Answers
t = 12r/(r+120)
t(r+120) = 120r
tr+120t = 120r
tr-120r = -120t
r(t-120) = -120t
r = -120t/(t-120)
r = 120t/(120-t)
Consider the equation f(x) = x2 - 4x – 45 One of the zeros of the function is x = -5. What is the other zero? The other zero is
Answers
Answer:
the zeros are x= -9 and x=5
Step-by-step explanation:
what is the surface area of the square pyramid (pic attached)
Answers
Answer:
18ft2
Step-by-step explanation:
An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent? (Calculate the discounted cost first and then find the tax on the discounted cost.)
Answers
Answer:
$27.59
Step-by-step explanation:
You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).
The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11.20 for decorative ribbon they made a profit of 98￠on each of the 40 jars sold. How much did they charge for each jar
Answers
Answer:
[tex]\$1.75[/tex]
Step-by-step explanation:
Total amount paid for the nuts is $19.60
Total amount paid for the ribbons is $11.20
Profit made on each jar is 98￠= $0.98
Cost price of the nuts and ribbon for the 40 jars is [tex]19.6+11.2=\$30.8[/tex]
Cost price for nuts and ribbonn for one jar = [tex]\dfrac{30.8}{40}=\$0.77[/tex]
Selling price is the sum of the cost price and profit.
Selling price for one jar = [tex]0.77+0.98=\$1.75[/tex]
They charged [tex]\$1.75[/tex] for each jar.
92% of x PLEASE ITS FOR A POP QUIZZ!
Answers
Answer:?
Step-by-step explanation:
1 What is the slope of a line? A Its length. B Its width. C Its location in space. D Its steepness. PLEASEEEE HELP
Answers
Answer:
its steepness
Step-by-step explanation:
Determine the area of the rectangle
6x + 3
X+5
Answers
Answer:
Step-by-step explanation:
multiply the two expressions
(6x + 3)(x + 5)
6x^2 + 30x + 3x + 15
6x^2 + 33x + 15
simplify if needed
3(2x^2 + 11x +5)
hope this helps <3
yayayayayayayayayyaya
Answers
Answer:
thank you for points
Step-by-step explanation:
-4x-4=12. Solve the two-step equation with the method of your choice. Show your work AND check for full credit
Answers
Answer:
−4x−4=12
Step 1: Add 4 to both sides.
−4x−4+4=12+4
−4x=16
Step 2: Divide both sides by -4.
−4x = 16
−4 −4
x=−4
Answer:
x=−4
Karen is training for a marathon. she ran 15 miles in 135 minutes. At this rate, how long will it take Karen to run 25 miles.
Answers
Answer:
225
Step-by-step explanation:
135/15=9x25=225
Mary borrowed $840 from her friend to help pay for a trip. She paid him $40 every
week until the debt was paid.
How many weeks did it take Mary to pay her debt?
A. 40
B. 35
C. 32
D. 21
Answers
Answer:
d.21
Step-by-step explanation:
840/40=21
Answer:
21 Weeks
Step-by-step explanation:
$840 ÷ 4 weeks = 21
You can also reverse work this by multiplying $40 by the other choices!
$40 x 40 = $1600
$40 x 35 = $1400
$40 x 32 = $1280
$40 x 21 = $840
As we can see, D is the only answer that makes sense, therefore 21 weeks is the answer.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
please help with solving this
Answers
Answer:
x=-7
Step-by-step explanation:
5x-2x+1=3x-6-x first combine like terms
3x+1=2x-6 combine like terms by subtracting 2x from both sides
x+1=-6 subtract 1 from both sides
x=-7
A riverbank has been colonized by mink. They are an alien species that attacks local wildlife. The river authority traps and removes the minks. Each year it reduces the number by 60%. What percentage of the mink remain after 4 years?
Answers
Answer:
24%
Step-by-step explanation:
it is easy when you multiply 6 and 4 to know how many minks remain
1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answers
Answer:
9
Step-by-step explanation:
From the question,
We are to evaluate the expression : 2a + b - 3 when a=5 and b=2.
We substitute 5 for a and 2 for b in the given expression
2a + b - 3
= 2(5) + 2 - 3
= 10 + 2 - 3
= 12 - 3
= 9
I will give you the crown (brainlist) and 5 stars! These are 2 DIFFERENT questions.
Answers
Answer:
number 1 the answer is B
Solve the equation.
x + 5 = -3
15 point!!
Answers
Answer:
x = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
x + 5 = -3
Step 2: Solve for x
Subtract 5 on both sides: x = -8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -8 + 5 = -3Add: -3 = -3Here we see that -3 does indeed equal -3.
∴ x = -8 is the solution to the equation.
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
Subtract 5 from both sides.
[tex]x=-3-5[/tex]
Simplify [tex]-3 -5[/tex] to [tex]-8[/tex]
[tex]x=-8[/tex]
let check if the answer is correct
[tex]x+5=-3[/tex]
Let [tex]x=-8[/tex]
[tex]-8+5=-3[/tex]
Simplify [tex]-8+5[/tex] to [tex]-3[/tex]
[tex]-3=-3[/tex]
CHECKED
PLEASE MARK ME AS BRAINLIEST
Can someone help me with this?
Answers
Answer:
its 28 - 12
Step-by-step explanation:
so basically what u do is u multiply 4x7 and thats 28
and then u multiply 4x3 and thats 12
then when u subtract 28 - 12 u get 16
whiich would be the answer to the problem if u were to solve it
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Answers
Answer: where’s the question??
Step-by-step explanation:
Answer:
what do you need help with??
Step-by-step explanation:
Please answer and explain please asap
Answers
Answer:
Step-by-step explanation: This is going to be a long one. In order to find slope you need the formula which is m=y2-y1/x2-x1. Basically what this means is you have to look on each of those graphs and find the points. I’ll do number one as an example. The points are located at (2,1) and (0,-3). Plug these in into your formula as such. M= (-3 - 1) / (0 - 2) which equals 2. If you have questions let me know
In triangle ABC, AC=BC, CD is perpendicular to AB with D belonging to AB, AB=4in, and CD=square root of 3 in. Find AC.
Please help. I honestly only need the answer, and if it's correct Ill give you brainliest!!
Answers
Answer:
The square root of 7
Step-by-step explanation:
Answer:
√7
Step-by-step explanation:
To find AC, use half of the base and the hight. Use the pythagorean theorm to help. 2^2+√3^2=x^2, 7=x^2, x=√7
Can someone really help me please!
Answers
Step-by-step explanation:
The formula for area of a rectangle is A= length times width. They gave you the area of the entire rectangle. But because this is a shape with a cutout, you still need the area of the missing section.
A= 1*4 = 4 units
Now subtract that from 49.
A=49 - 4= 45 square units
Answer:
49-4 = 45
Step-by-step explanation:
hope it helps
.......
In the figure below does a = 120? Explain your answer and show your work on the scratchpad.
Answers
Answer:
Honestly I don't know but I hope you have a good day
WILL GIVE BRAINLIEST Mrs. Bergen ordered a total of 12 drinks from Peets. She ordered twice as many coffees (x) as chai tea drinks (y). How many of each drink did she order?
give system of equations
give answer as sentence
Answers
Step-by-step explanation:
12=2x+y
that's what I got hope this helps u broo
On a spinner, there are 10 equal spots, numbered 1-10. What is the probability of spinning a 5 and then spinning a 5 again?
Answers
Answer:
1 out of ten
Step-by-step explanation:
so if there are ten sides and all are numbered 1-10 then 5 is only one tenth.
A nail has a circular head with a diameter of 0.40 centimeters.
What is the area of the nail's head, rounded to the nearest hundredth of a square centimeter?
Answers
pleasee help 100 points
Answers
Answer:
[tex]\begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} -3 & 0\\\cline{1-2} -2 & 1\\\cline{1-2} -1 & 2\\\cline{1-2} 0 & 3\\\cline{1-2} 1 & 4\\\cline{1-2} 2 & 5\\\cline{1-2}\end{array}[/tex]
non-proportional
Step-by-step explanation:
Given equation:
[tex]y=x+3[/tex]
Create a table of ordered pairs using the given equation:
[tex]\begin{array}{| c | c | c |}\cline{1-3} x & x+3 & y\\\cline{1-3} -3 & -3+3 & 0\\\cline{1-3} -2 & -2+3 & 1\\\cline{1-3} -1 & -1+3 & 2\\\cline{1-3} 0 & 0+3 & 3\\\cline{1-3} 1 & 1+3 & 4\\\cline{1-3} 2 & 2+3 & 5\\\cline{1-3}\end{array} \implies \begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} -3 & 0\\\cline{1-2} -2 & 1\\\cline{1-2} -1 & 2\\\cline{1-2} 0 & 3\\\cline{1-2} 1 & 4\\\cline{1-2} 2 & 5\\\cline{1-2}\end{array}[/tex]
Graph
As the given equation is linear, plot two of the ordered pairs and draw a straight line through them. (See attachment).
Proportional Relationship
A relationship in which two quantities vary directly with each other.
y varies directly as x:
[tex]y=kx[/tex]
(where k is some constant)
To find if the relationship is proportional using the table, find the ratio [tex]\dfrac{y}{x}[/tex] of each row. If the ratio is the same, the relationship is proportional.
[tex]\begin{array}{| c | c | c |}\cline{1-3} x & y & \dfrac{y}{x}\\\cline{1-3} -3 & 0 & 0\\\cline{1-3} -2 & 1 & -0.5} \\\cline{1-3} -1 & 2 & -2 \\\cline{1-3} 0 & 3 & \text{-}\\\cline{1-3} 1 & 4 & 4\\\cline{1-3} 2 & 5 & 2.5\\\cline{1-3}\end{array}[/tex]
Graphs of proportional relationships pass through the origin (0, 0).
Therefore, the relationship is non-proportional because:
The ratios of y/x of each row of the table are not the same.The graph does not pass through the origin.There is the addition of a constant in the given equation, which means that y does not vary directly as x.