Answers
Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,
∆ KNL ≈ MNL , [ By AAS ]
Therefore ,
KN = MN ( by cpct )⇒ KN = MN
⇒ 14x - 3 = 25
⇒ 14x = 25 + 3
⇒ 14x = 28
⇒ x = 2
Put this x = 2 in LM :-
⇒ LM = 9x + 5
⇒ LM = 9*2 + 5
⇒ LM = 18 + 5
⇒ LM = 23
Hence the required answer is 23 .
Related Questions
An automobile insurance company issues a one-year policy with a deductible of 500. The probability is 0.8 that the insured automobile has no accident and 0.0 that the automobile has more than one accident. If there is an accident, the loss before application of the deductible is exponentially distributed with mean 3000. Calculate the 95th percentile of the insurance company payout on this policy.
Answers
Answer:
y₀.₉₅ = 3659
Step-by-step explanation:
P( no accident ) = 0.8
P( one accident ) = 0
deductible = 500
mean = 3000
Determine the 95th percentile of the insurance company payout
Assuming : y =company payout , x =amount of loss incurred due to accident
Then :
P( x < 500 ) = 0.2 ( 1 - e^-500/3000)
= 0.2 ( 1 - e^-1/6 )
95th percentile =
= P( y < y₀.₉₅ ) 0.95
P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307
attached below is the remainder of the solution
which relation is a function?
Answers
The first one because there is only one y value for every x value. The correct option is first.
To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.
In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.
Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.
Learn more about Function here:
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What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?
Answers
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.
Substituting the values given in the problem, we get:
(x', y') = (4*(-6), 4*(-2))
Simplifying,
(x', y') = (-24, -8)
Therefore,
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
Learn more about scale factors here:
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5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)
Answers
Answer:
C. 14 RootIndex 3 StartRoot x EndRoot)
Step-by-step explanation:
To obtain the sum ; the a clear explanation has been attached in the picture below ;
Find the TWO integers whos product is -12 and whose sum is 1
Answers
Answer: -3, 4
Step-by-step explanation:
Integer #1 = xInteger #2 = yx · y = -12
x + y = 1 ⇒ y = 1 - x
Bring the y-value(1 - x) into x · y = -12:
[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]
Bring the x-values into y = 1 - x and see if the values multiply to -12:
x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12
x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12
Region A has a total of 81,218,576 acres. Estimate the number of acres owned by the government in Region A. Choose the correct estimate below.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Region\ A = 81218576[/tex]
Required
The acres owned by the government
The question is incomplete as the proportion (p) owned by the government is not given.
However, the formula to use is as follows:
[tex]Govt = p * Region\ A[/tex]
Assume the proportion is 28%, the equation becomes
[tex]Govt = 28\% * 81218576[/tex]
[tex]Govt = 22741201.28[/tex]
The acres owned by the government will be 22741201.28
Express tan J as a fraction in simplest terms
Answers
Answer:
SOH-CAH-TOA
tan = opposite/adjacent
tan J = 15/20 = 3/4
Step-by-step explanation:
4 + {−5 + [−3 + 4 + 2(−7 + 4) + 4] + 2}
7 + {−2 + [5 + 4(−3) + (−6 + 2) + (−3)]}
(−2) + {3 + [−4 + (3)] + 7} + (−5)
(−10) + {−7 + [−4 + 5(−9) + 5] + 8}
18 + 3{−4 + [−15 + 20 + (−3)] + (−9)}
−(−8 + 5) + {−4 + [−7 + (−9 − 5) + 3]}
− 9 + {−7 − 2[−(4 + 1) + (5 − 9)]} − 3
−1 − 3{6 − [4 + 2(−7 + 8) − 5] − 2}
−(−2) − {−(−7) + [−3 + (−5 − 2) + 6]}
−(−6 − 2) − 2{−4(−5) + 5[−3 + (−2)]}
6 − 2{−4 + 3[3 − 3(−8 − 5) + 14] − 7}
Me pueden ayudar por favor es urgente!!! y Buenas Noches ;)
Answers
Answer
it is 5 : )
Step-by-step explanation:
Find the volume - leave answer in terms of π
Answers
Answer:
144[tex]\pi[/tex]
Step-by-step explanation:
Volume of a Sphere :
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]
V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)
V = 288[tex]\pi[/tex]
Now divide by 2, it's only half of a sphere.
What is –70 divided by 700
PLZ HELP ME!!!
Answers
Answer: -0.1
Step-by-step explanation: Calculator
Hello!
-70 : 700 = -0,1 → answer
Good luck! :)
How do I simplify rational expressions
Answers
Answer:
a rational expression is an expression that has a RATIO in it
look at the word "RATIO"nal
a ratio is just a fraction...
so your question is "how to simplify fractions"
lots of approaches, this is one of them...
PRIME FACTOR the numerator and denominator
[tex]\frac{90}{135}[/tex]
90 = 2 * 3 * 3 * 5
135 = 3 * 3 * 3 * 5
= 2/3 (the two 3's cancel and the 5's cancel)
Step-by-step explanation:
Seo-Yun organizó una fiesta. Comprar 50 recuerditos para regalar y les dio 3 recuerditos a cada uno de sus invitados conforme llegaban a la fiesta.
Escribe una fórmula explícita para la sucesión.
g(n)=
Answers
Answer: nose
Step-by-step explanation:
Three friends went to a book shop the first bought three bros and four pencils for $30.00. The second bought two Bros and five pencils for $27.00 . If the third bought a bro and a pencil only how much did they pay .
Answers
Answer:
total 66$
Step-by-step explanation:
let price of bro s be x and pencil be y
according to Qn
at 1 cond
3x+4=30____(1)
2x+5y=27____(2)
solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$
If y is proportional to x, find the missing number.
A. 15
B. 12
C. 16
D. 18
HELPPP!!!!
Answers
Answer:
C. 16
Step-by-step explanation:
5 is half of 10, so 8 should be half of the next number.
Answer:
C. 16
Step-by-step explanation:
[tex] \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} [/tex]
cross multiplying
[tex]16 = ?[/tex]
so the missing number is 16
Arc AC is adjacent to arc CD. If arc AC measures 35 degrees and arc CD measures 45 degrees, what is the measure of arc AD according to the Arc Addition Postulate?
Answers
Answer:
80°Step-by-step explanation:
You just need to sum up the values according to arc addition postulate:
the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcsm(arc AD) = m(arc AC) + m(arc CD)m(arc AD) = 35° + 45° = 80°Now we have to find,
The measure of arc AD according to the Arc Addition Postulate.
AD is the sum of the measures of the other two arcs. Then measure of AD is,
→ AC + CD
→ 35° + 45°
→ 80° (final answer)
Hence, the measure of arc AD is 80°.
Which set of numbers includes only integers?
a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answers
Answer:
a
Step-by-step explanation:
in integer there will negative ,positive or rational number
Annie has set a goal of running at the track three times each week for a total of at least 16 miles per week. On Monday she ran 7.1 miles, and on Wednesday she ran 5.9 miles. If Annie plans to go running again on Friday, what is the minimum number of miles needed to reach her weekly goal?
Answers
The total of what she ran so far is 13 miles
So then you would subtract 13 from the total of 16 miles to get a minimum of 3 miles
what is asked in the problem
Answers
Answer:
what's the question?
Step-by-step explanation:
and the problem?
Answer:
Please could you add some more info.
Thank you
What is the domain of the following function ?
Answers
Answer:
{-6, 1, 5, 8}
Step-by-step explanation:
The domain is the set of x-coordinates or inputs.
{-6, 1, 5, 8}
-6, 1, 5, 8
Domain is always gonna be in the left side of the relation, while range is the right (7, -2.)
A. -1/4 + 2/3=
B. 1/2-3/5-1/2=
C. 3/4 of 2/9=
D. 2/5 of 7/12=
please help me
with explanation as well
Answers
Answer:
[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]
[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]
[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]
[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]
Answer quickly please <33333
The side length of square A is shorter than the side length of square B by 5 inches. The perimeter of square A is 100 inches. What is the difference, in square inches, between the area of square A and the square area of B?
A)10
B) 25
C)125
D)175
Answers
the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly
Answers
Answer:
HCF = 6
Step-by-step explanation:
Listing the factors of each number
18 is 1, 2, 3, 6, 9, 18
30 is 1, 2, 3, 5, 6, 10, 15, 30
36 is 1, 2, 3, 4, 6, 9, 12, 18, 36
common factors are 1, 2, 3, 6
the HCF is 6
The 23 members of a track team are trying to raise at least $2226.00 to cover the traveling cost for a holiday tournament. If they have already raised $465.00, at least how much should each member still raise, on average, to meet the goal?
Answers
Solve the inequality 6 is greater or equal than m- 1
Answers
Answer:
7 ≥ m OR m ≤ 7
Step-by-step explanation:
You can actually solve this in two ways , either :
6 ≥ m - 1
6 + 1 ≥ m
7 ≥ m
OR
m -1 ≤ 6
m ≤ 6 + 1
m ≤ 7
Both are correct.
Find the equation of the circle in standard form for the given center (h, k) and radius
Someone help
Answers
Answer:
3rd choice
Step-by-step explanation:
You can find the attached files
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answers
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
This is the last question for the 12 point
Answers
9514 1404 393
Answer:
WR ≅ WX
Step-by-step explanation:
To use the SAS postulate, you need congruent sides bounding a congruent angle.
Here, side WP is one side of one of the vertical angles, ∠PWR, so you need the other side of that angle: WR. The corresponding side in triangle VWX is WX. That is, for SAS, you need WR ≅ WX.
Can someone please help me! Big ideas 8.4 number 16
Answers
============================================================
Explanation:
It might help to draw it out. See the diagram below.
The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.
Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.
The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.
Now we can find the area of the triangle
area = base*height/2
area = 7*7/2
area = 49/2
area = 24.5 square units
Last year there were 221 students and 12 teachers at Hilliard School. This year there are 272 students. The principal wants to keep the same student to teacher ratio as last year. Which proportion can the principal use to find x, the number of teacher needed this year?
Answers
Answer:
3264:221
Step-by-step explanation:
If by last year there were 221 students and 12 teachers at Hilliard School, then;
221students = 12teachers
To find the equivalent ratio for 272students, we can say;
272students = x teachers
Divide both expressions
221/272 = 12/x
Cross multiply
221 * x = 272 * 12
221x = 3264
x = 3264/221
x = 3264:221
This gives the required proportion
10 ^ (th) term for AP-5,-10,-15,..... is :-(A) -955 (B) 50 (C) -50 (D) 955
Answers
Answer:
C
Step-by-step explanation:
The nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then
a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C
