Answers
Answer:
[tex] LJ = 46 [/tex]
Step-by-step explanation:
Given:
[tex] LK = MK [/tex]
[tex] LK = 7x - 10 [/tex]
[tex] KN = x + 3 [/tex]
[tex] MN = 9x - 11 [/tex]
[tex] KJ = 28 [/tex]
Required:
LJ
Solution:
Step 1: create an equation to find the value of x
Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.
[tex] MK + KN = MN [/tex] (segment addition postulate)
[tex] MK = MN - KN [/tex] (Subtract KN from each side)
[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)
[tex] MK = 9x - 11 - x - 3 [/tex]
[tex] MK = 9x - x - 11 - 3 [/tex]
[tex] MK = 8x - 14 [/tex]
LK = MK, therefore,
[tex] 7x - 10 = 8x - 14 [/tex]
Subtract 8x from each side
[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]
[tex] -x - 10 = -14 [/tex]
Add 10 to both sides of the equation
[tex] -x - 10 + 10 = -14 + 10 [/tex]
[tex] -x = -4 [/tex]
Divide both sides by -1
[tex] x = 4 [/tex]
Step 2: Find LJ
[tex] LJ = LK + KJ [/tex] (segment addition postulate)
[tex] LJ = (7x - 10) + (28) [/tex]
Plug in the value of x
[tex] LJ = 7(4) - 10 + 28 [/tex]
[tex] LJ = 28 - 10 + 28 [/tex]
[tex] LJ = 46 [/tex]
Related Questions
Solve for f(-7).
f(x) = 5 - X
f(-7) = [?]
Enter
Answers
f(-7)=5+7
f(-7)=12
Answer:
[tex]f(-7)=12[/tex]
Step-by-step explanation:
[tex]f(x)=5-x\\\\\text{Substitute 'x' for '-7' and solve.}\\\\f(-7)=5-(-7)\\\\f(-7)=5+7\\\\\boxed{f(-7)=12}[/tex]
Hope this helps.
Which of the following are acceptable weights? 13.5 oz
13.8 oz
14.15 oz
14.2 oz
14.3 oz
Answers
Answer:
13.8 oz
14.15 oz
14.2 oz
Step-by-step explanation:
trust me
Answer:
B, C, D
Step-by-step explanation:
1. Here is a map that shows parts of Texas and
a. About how far is it from Amarillo to Oklahoma City?
b. Driving at a constant speed of 70 miles per hour, will it be possible to make this
trip in 3 hours?
Answers
Answer:
a). 240 miles (Approx)
b). Trip can't be covered in 3 hours with a constant speed = 70 miles pr hour
Step-by-step explanation:
a). As the scale has been given at the bottom. Length of the scale represents the distance between two points.
Now by measuring the distance between these stations, approximate distance between Amarillo and Oklahoma = 4(length of the scale)
= 4×60
= 240 miles.
b). Driving at a constant speed = 70 miles per hour
Distance covered in 3 hours = 70 × 3
= 210 miles
Therefore, distance of 240 miles between these stations can't be covered with the driving speed 70 miles per hour in 3 hours.
a family uses 1303 kWh of electric energy in a month. if the power company charges $0.08 cents per kilowatt, what is the total electric bill for the month?
Answers
Set up an equation and solve for x
X
2x
3x
Equation
Answers
Step-by-step explanation:
x+2x+3x=180
6x=180
divide both sides by 6
x=30°
Hellppppppp meeeee I gotta pass this testtttt ty ❤️
Answers
Answer:
The second one
Step-by-step explanation:
The perimeter of the tennis court is 228 feet. What are the dimensions of the court? Write the equation for the situation: What is the width of the court? What is the length of the court?
Answers
Answer:
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
Step-by-step explanation:
2(w+2w+6)=228 feet
2w+4w+12=228
6w=228-12
6w=216
w=36
So, 2w+6=78
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.
To find the dimensions of the tennis court, we can set up a system of equations based on the given information:
Equation for the perimeter:
The perimeter of a rectangle is given by the formula:
P = 2(length + width).
In this case,
the perimeter is 228 feet, so the equation gives:228 = 2(l + w)
Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:
w = l
To solve the system of equations:
Substitute the value of l from the second equation into the first equation:
[tex]228 = 2((2w + 6) + w)[/tex]
Simplifying the equation:
[tex]228 = 2(3w + 6)[/tex]
Divide by 2 on both sides
[tex]114 = 3w + 6[/tex]
Subtract by 6 on both sides
[tex]108 = 3w[/tex]
Divide by 3 on both sides
[tex]w = 36[/tex]
Substituting the value of w back into the second equation:
[tex]l = 36[/tex]
Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.
Learn more about solving equations here:
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What are the coordinates of (2. -7) after the translation
(x,y) → ( x-2, y + 3)
Answers
Method ; x-axis: 2 – 2 = 0
y-axis: -7 + 3 = -4
describe the relaationship between two place value positions
Answers
Answer:
Any place-value position is 10 times greater than the position to its right and / of the position to its left.
M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N
Answers
Answer:
6
Step-by-step explanation:
M=2*2*3*5*5=300
N=2*2*2*3*3*7=504
Common factors between the two numbers are 2 and 3
The GCF(greatest common factor):
2×3 = 6
To see if it is true:
300/6 = 50
504/6 = 84
6 is the answer to the question.
brody is working two summer jobs, making $10 per hour
Answers
thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage
NEED ASAP
Change the percent to a decimal.0.4% =
A 0.004
B 0.4
C 4.0
D 0.04
Answers
Answer:
A)0.004
If you do the math you should get this answer
Write g(x) in terms of f(x) after reflecting the graph of f(x) across the y-
axis. *
Answers
Answer:
g(x)=f(-x) , the dot on the x axis is negative so multiply it by a another negative to get a positive
Evaluate
x(-6) (-4)
When x= -2
Answers
Answer:
=24x
Step-by-step explanation:
X×(-6)×(-4)=24
two negatives cancel out and turn the 24 to a positive number
6×4=24
what numbers are needed for: _*(_+_)/_=6
Answers
Answer:
4(1+2)/2 = 6
Step-by-step explanation:
Think about multiples of 6 (I thought of 12)
"Think 'What' x 'what' will make the lowest multiple of 6"
Solve for the distance from point A to point B. Round your answer to
nearest tenth.
A(5,4) and B(-4,-3)
Answers
Answer:
11.4
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
1. [tex]d=\sqrt{(-4-5)^2+(-3-4)^2}[/tex]
2. [tex]d=\sqrt{(-9)^2+(-7)^2}[/tex]
3. [tex]d=\sqrt{81+49}[/tex]
4. [tex]d=\sqrt{130}[/tex]
5. [tex]d=11.4017[/tex]
6. [tex]d=11.4[/tex]
Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
10
20
15
30
A)Add 10 to the input to get the output
B)Multiply the input by 2 to get the output
C)Multiply the input by 3 then subtract 5 from the result to get the output
Answers
Answer:
B)Multiply the input by 2 to get the output
Step-by-step explanation:
5x2=10
10x2=20
15x2=30
17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
Find the dimensions of the rectangle.
Answers
Answer:
[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]
[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle = w + 3
Perimeter of a rectangle = 28 inches
To find : dimensions of the rectangle ( length and width )
Finding the width of a rectangle ( w )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]
Width of a rectangle = 5.5 inches
Now, replacing / substituting the value of w in order to find the length of a rectangle
[tex] \sf{ length = 3 + w}[/tex]
[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]
[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]
Length of a rectangle = 8.5 inches
Hope I helped!
Best regards! :D
oweikeme has 2500 Naira and bought the following items from the bookshop: 60 ballpoint pens at 15 Naira each, two dozen of exercise books at 5 Naira each,8 drawing books at 80 Kobo each how much has he have left
Answers
Answer:
1480
Step-by-step explanation:
60x15=900
24x5=120
there is no mention of qweikeme having any kobo
not sure how to complete this, info is in the photo.
Answers
1. 4
2. 7
3. 17
3. Simplify. *
5m3 + 2m– 7m3 – 8m
Answers
Step-by-step explanation:
5m³ + 2m - 7m³ - 8m
= -2m³ -6m
= -2m(m² + 3)
A calculus exam that was taken by 94 students is recorded and normally distributed. The mean score on the exam is 78 and the standard deviation is 2.4. What percent of the scores are in the 70.8 and 85.2 range?
Answers
Answer:
99.73%
Step-by-step explanation:
If you have a calculator with distribution functions, this problem boils down to using a single command:
norm(70.8, 85.2, 78, 2.4) = 0.9973
This tells us that 99.73% of the scores are in the 70.8-85.2 range.
Mane and Seth are working on a lab activity where they are tracking some leaves that are
floating past them in a rain runoff channel near their home. They have to measure how far the
leaves travel in different amounts of time. They place a long tape measure along side of the
runoff channel to measure distance A borrowed stopwatch will let them record the amount of
time. They plan to have time intervals that begin at two seconds, and increase by two's until
they get to 20 seconds. The data they recorded is below.
Which is the independent and which is the dependent variable
Answers
Answer:
Independent = time intervals
Dependant = how far the leaves travel
Step-by-step explanation:
independent = what you change
dependent = what you measure
Answer
a tape measure
Step-by-step explanation:
-2a>6, then a is what?
Answers
Answer: a < -3
Step-by-step explanation:
-2a > 6 Divide both sides by -2 and remember if you divide both sides of an inequality by a negative number the sign switches.
-2a > 6
a < -3
Answer:
a < -3
Step-by-step explanation:
It less than -3
Expand
Your answer should be a polynomial in standard form -4w(w^2-9)
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4 {w}^{3} + 36w}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4w( {w}^{2} - 9})[/tex]
Distribute -4w through the parentheses
[tex] \dashrightarrow{ \sf{ - 4 {w}^{3} + 36w}}[/tex]
Hope I helped!
Best regards! :D
The standard form of the polynomial -4w(w²-9) will be -4w³+36w.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form.
The given expression can be converted to the standard form as below,
P = -4w(w²-9)
P = ( -4w) x (w²) + ( 4 x 9w)
P = -4w²+36w
Therefore, the standard form of the polynomial -4w(w²-9) will be -4w³+36w.
To know more about polynomials follow
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What is the area of the square of the leg 6
Answers
Answer:
A=a2/ a squared
The middle value of the data set is
Answers
Answer:
The middle value of the data set is called/labled the median
Step-by-step explanation:
if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median
hope it helps:)
Also, just look at the number in the middle of the data set to figure out the median
At a picnic there are 7 pieces of fruit for every 4 vegetables. If there are 28 pieces of fruit, how many vegetables are there?
Answers
Step-by-step explanation:
There are 7 fruits for every 4 vegetables.
If there are 28 fruits, the number of fruits have multiplied by 4. This means that the number of vegetables have multiplied by 4 as well.
=> 4 * 4 = 16 vegetables.
Hence there are 16 vegetables.
Solve 2|x - 1| >= 10
Answers
Answer:
[tex]\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Step-by-step explanation:
[tex]\bold{2|x-1|\geqslant10}\\\\{}\ \div2\qquad\div2\\\\\bold{|x-1|\geqslant5}\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Charles’ law describes the relationship between the initial and final temperature and volume of a gas held at a constant pressure. [tex]\frac{v_{i} }{V_{f} }=\frac{t_{i} }{t_{f} }[/tex] A). Solve the equation for [tex]v_{f}[/tex] B). Solve the equation for [tex]t_{f}[/tex] Show Step by Step
Answers
Answer:
t= 12.433
Step-by-step explanation: