Answers
Answer:
[tex]m<LMJ = 86[/tex]
Step-by-step explanation:
1. Approach
First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.
2. Finding ([tex]x[/tex])
Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.
Using this knowledge, one can apply it by saying;
[tex]m<K + m<J + m<M + m<L = 360[/tex]
Substitution,
[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]
Combine like terms;
[tex]160 + 25x = 360[/tex]
Inverse operations;
[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]
3. Finding ([tex]m<LMJ[/tex])
Substitute back in to find the [tex]m<LMJ[/tex]
[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]
Answer:
m∠M = 86
Step-by-step explanation:
the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.
360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.
substitute the values of ∠L and ∠M to make the equation
14x -7 + 11x -2 = 191
combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191
now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:
25x -9 = 191 → 25x = 200 → 25x = 200 → x = 8
+9 +9 /25 /25
Now put the value of x into the equation for angle M like this:
11(8) -2 = M and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86
Related Questions
if p and q are two different prime numbers then L.C.M is,
Answers
cual es la diferencia entre divisor y divisible
Answers
espero que esto ayude
4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°
a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3
5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)
tan =
Answers
9514 1404 393
Answer:
4. b =-√(3)/3
5. 1/2
Step-by-step explanation:
4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...
tan(150°) = -(√3)/3
__
5. The cotangent is the inverse of the tangent, and vice versa.
tan = 1/cot
tan(θ) = 1/2
Solve for the unknown in the following diagram. Round the answer to two decimal places.
cm
Answers
Answer:
Step-by-step explanation:
i will give you brainliest whoever answers correct first!!
Answers
Answer:
isn't it just 3
Step-by-step explanation:
isn't it just 3 bc there r only 3 students out of the entire class that doesnt play both instrument and sports
Answer:
12.5% chance
Step-by-step explanation:
There 24 students in total
When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3.
in a grocery store, a $21 case of toilet paper is labeled, “get a 20% discount” what is the discount? what is the sale price of the toilet paper?
Answers
Answer:
$16.8
Step-by-step explanation:
put 20% into decimal form 20/100 = 0.2
0.2 x 21 = $4.2
21-4.2 = $16.8
The Discount will be "$4.2" and the Sale price will be "$16.8".
According to the question,
Labeled case of toilet paper,
$21Get discount,
20%or,
0.2Now,
→ 20% of $21 will be:
= [tex]0.2\times 21[/tex]
= [tex]4.2[/tex] ($) (Discount)
→ The sale price will be:
= [tex]Labeled \ case - Discount[/tex]
By substituting the values, we get
= [tex]21-4.2[/tex]
= [tex]16.8[/tex] ($)
Thus the above approach is right.
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Find the area.
A. 1100 m2
B. 533 m2
C. 1066 m2
D. 338 m2
Answers
Answer:
533m
Step-by-step explanation:
41x26 divide by 2
A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.
Area of triangle = (1/2) × base × height
Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.
Now, the area of the triangle DNE is,
Area of triangle = (1/2) × base × height
Area of ΔDNE = (1/2) × 41 meters × 26 meters
= 533 meters²
Hence, the area of the ΔDNE is 533 meters².
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if y = 3 then evaluate 45 - y
Answers
Answer:
42
Step-by-step explanation:
If y equals 3, then substitute y for 3, getting 45 - 3.
45 - 3 is 42, so that's your answer.
Hope this helped!
Find the surface area of the following prism:
6 m
6 m
10 m
7.2 m
4.8 m
Answers
Answer:
172.8m³
Step-by-step explanation:
1/2(7.2)(4.8)(10)=172.8m³
Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.
Answers
Answer:
a)
[tex]P(X \leq 1) = 0.01[/tex]
[tex]P(X \leq 2) = 0.03[/tex]
[tex]P(X \leq 3) = 0.15[/tex]
[tex]P(X \leq 4) = 0.40[/tex]
[tex]P(X \leq 5) = 0.82[/tex]
[tex]P(X \leq 6) = 0.98[/tex]
[tex]P(X \leq 7) = 1[/tex]
b)
4.61
c) 1.1579
d) 5 is the third quartile of this distribution.
Step-by-step explanation:
We are given the following discrete distribution:
[tex]P(X = 1) = 0.01[/tex]
[tex]P(X = 2) = 0.02[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.42[/tex]
[tex]P(X = 6) = 0.16[/tex]
[tex]P(X = 7) = 0.02[/tex]
a. Find the cdf of X.
Probability of X being less of equal to x. Than
[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]
[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]
[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]
[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]
[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]
[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]
[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]
b. Find the expected number of courses a student is taking this semester.
Multiplication of every outcome by its probability.
[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]
c. Find the variance of X.
Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So
[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]
d. Find the third quartile of this distribution.
100*(3/4) = 75th percentile
The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.
Please help me I’ll give you points
Answers
2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?
A: 15 B: 112 C: 1/122 D: 1/15
Answers
Answer:
D. 1/15
Step-by-step explanation:
Actual tree = 10 ft = 12 × 10 = 120 in.
Model tree = 8 in.
Scale factor = model tree/actual tree
Scale factor = 8/120
Scale factor = 1/15
What is the slope and y-intercept of the line whose equation is y + 4x =
8?
Answers
Answer:
The slope is -4 and the y-intercept is 8.
Step-by-step explanation:
y+4x=8
y=8-4x
y=-4x+8
y=mx+b where m=slope and b=y-intercept.
Hello!
The equation of this line is written in slope-intercept form (y=mx+b)
Where
m is the slope
b is the y-intercept
m is 4
b is 8
Hope it helps!
If you have any questions, feel free to ask! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
Martina is currently 18 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey . Use this information to answer the following questions.
If you let x represent Joey's current age, what expression can you use to represent Martina's? PLEASE HELP
current age?
Answers
Answer:
The age of Joey is 4 years and
The age of Martina is 22 years .
Step-by-step explanation:
Given as :
Martina is 18 years older than her Joey
In 5 years, Martina will be three times older than Joey
Let The age of Martina = M years
And The age of Joey = J years
Now, According to questions
M = J + 18 ........1
(M+5) = 3 × (J+5)
Or, M + 5 = 3 J + 15
Or, M - 3 J = 15 - 5
∴ M - 3 J = 10 ..........2
Solving eq 1 and 2
Put the value of M from eq 1 into eq 2
So, (J + 18) - 3 J = 10
Or, J - 3 J = 10 - 18
Or, - 2 J = - 8
∴ J =
i.e J = 4 years
So, The age of Joey = J = 4 years
Now, Put the value of J in eq 1
So, M = J + 18
Or, M = 4 + 18
∴ M = 22 years
So, The age of Martina = M = 22 years
Hence,The age of Joey is 4 years and The age of Martina is 22 years . Answer
Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm
How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth.
Answers
Answer:
0.00421 centimeters.
Step-by-step explanation:
thats ur answer
Answer:
I believe that your answer would be 2.18527315×10^-1
Simplified would be 2.2×10^-1
Step-by-step explanation:
I hope this helps
The population of a city increases by 3% per year. If this year's population is 298,0 what will next year's population be, to the nearest individual?
Answers
Answer:
5 Probability
5.1 Probabilities
Probabilities are used to describe how likely or unlikely it is that something will happen.
Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular
parts of the country.
Worked Example 1
(a) When you roll a dice, which number are you most likely to get?
(b) If you rolled a dice 600 times how my sixes would you expect to get?
(c) Would you expect to get the same number of ones?
Solution
(a) You are equally likely to get any of the six numbers.
(b) You would expect to get a six in about 1
6
of the throws, so 100 sixes.
(c) Yes, in fact you would expect to get about 100 of each number.
Worked Example 2
Use one of the following to describe each one of the statements (a) to (d).
Certain
Very likely
Likely
Unlikely
Very unlikely
Impossible
(a) It will snow tomorrow.
(b) It will rain tomorrow.
(c) You win a car in a competition tomorrow.
(d) You are late for school tomorrow.
Solution
(a) Very unlikely for most places in Britain, especially in summer.
(b) Likely or Very likely in Britain in winter.
(c) Very unlikely if you have entered the competition. Impossible if you have not
entered the competition.
(d) Very unlikely, unless the school bus breaks down.
what is 3/8 + 1/4 please help me
Answers
Answer:
Step-by-step explanation:
3/8+1/4
LCM
3/8+2/8
5/8
Rewrite the expression by combining like terms.
3y + 5x2 + 10x + 2x2 + 15x - 3y
2 + 2xy + 2x
3x2 + 3x + 6y
7x24
30x² + 6y² + y
Answers
Answer:
Factoring 3x2 - 2x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
3x2 - 3x + 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(3x+1) • (x-1)
Which is the desired factorization
Final result :
5xy2 • (x - 1) • (3x + 1)
Can someone help me with this?
Answers
Answer:
No
Step-by-step explanation:
6^2+4^2=52
7^2=49
49 is not equal to 52, so no it is not a right triangle
Answer:
Step-by-step explanation:
yes yes i can i just need you pitcher the one u put dose not work
I need help with this please
Answers
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
Answers
which of the following ordered pairs is a solution of the equation -2y + 9 = -x? A.(2,5) B.(-3,15) C.(4,-1)
Answers
Answer:
Step-by-step explanation:
-2y + 9 = -x
x - 2y = -9
Plug in each set of points and see if the equation holds true.
A. 2 - 2(5) = ?
B. -3 - 2(15) = ?
C. 4 - 2(-1) = ?
I don't think that any of them work.
(m 3 + m 2 - 39m + 21) ÷ (m + 7)
Answers
Answer:
Quotient = m2-6m+81 Remainder = -560
Step-by-step explanation:
in the pic above
A man is 6 feet tall. At 1:00, he casts a shadow that is 18 inches long. A nearby tree is 32 feel tall. At the same time of day, how long is the tree's shadow?
Answers
The answer of this would be 8 feet long.
If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long
answer: 8 feet
The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621
Answers
100 hundred times larger
Olive has a plastic container shaped like a cube to put slime in. She measures one side and finds that it’s 0.5 foot long. Use the formula V = s3 to determine how many cubic feet of slime will fit in her container. PLEASE HELP!
Answers
Answer:
0.125 cubic feet
Step-by-step explanation:
Since the container has a shape of a cube with a measure of its side 0.5 ft, then;
Volume of the container, V = [tex]s^{2}[/tex]
where s is the measure of its side.
s = 0.5 ft, then;
V = [tex](0.5)^{3}[/tex]
= 0.125
V = 0.125 cubic feet
The cubic feet of slime that would fit in the container is 0.125.
What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.
Answers
Hi!!!
B. the point lies directly on the regression line.
Hope this helped!
Have a good day:)
The point lies directly on the regression line.
Option B is the correct answer.
What is a regression line?A regression line is a straight line that represents the relationship between two variables in a scatter plot.
In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.
We have,
When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.
If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.
This can occur when the data point falls directly on the regression line, as in option B.
Thus,
The point lies directly on the regression line.
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Solve the system by substitution.
2x + 3y = 32
y = x + 9
Answers
Answer:
x=1 and y=10 (1,10)
Step-by-step explanation:
2+30=32
10=1+9
hello please help 50 points and brainliest!!!
Answers
Answer:
sorry the image is not clear
Can someone help meeeee ??
Answers
Answer:
Bottom left graph, ∠a + ∠b = 180°, ∠a + ∠b = 90°, ∠a + ∠b = 90°
Step-by-step explanation:
For the first problem, we can look at the slope. The slope of the equation is negative. The line has to be similar to the bottom slant of the letter "K".
There are two lines that are similar and have the same y-intercept, so it's just a matter of which slope matches.
The slope is -1, so that means to find a different point we go down 1 and right 1.
The only point that's the same on the two lines are (0, 3).
When go down 1 and right 1, the point should be: (1,2)
The only line that satisfy this is the bottom left graph.
For problem 2, ∠a and ∠b must add up to 180°.
So the equation for problem 2 is: ∠a + ∠b = 180°
For problem 3, ∠a and ∠b are equal because they're opposite angles.
So the equation for problem 3 is: ∠a = ∠b
For problem 4, ∠a and ∠b must add up to 90°.
So the equation for problem 4 is: ∠a + ∠b = 90°
For problem 5, ∠a and ∠b must add up to 90°, since the other angle is 90°, which is half to 180°.
So the equation for problem 5 is: ∠a + ∠b = 90°