Answers
Answer:
[tex]m<NLM = 30[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the degree measure of the parameter (x). Use the fact that line (LN) is a diameter to solve for (x), beacause the angle measure of a circle on either side of the diameter is (180) degrees. One can then find the measure of arc (mNM), and then find the measure of the angle (<NLM) using the inscribed angles theory.
2. Find the measure of (x)
A diameter is the largest chord or segment in a circle. It intersects a circle at two points and runs through the center of a circle. The degree measure of a circle on either side of the diameter is (180) degrees. As per the given image, line (LN) is a diameter. The arcs (mLM) and (mNM) make up half of the circle, or rather one side of the diameter. With this information, one can form an equation and solve for the parameter (x) using this information:
[tex](mLM)+(mNM)=180[/tex]
Substitute,
[tex](mLM)+(mNM)=180[/tex]
[tex](13x-10)+(7x-10)=180[/tex]
Simplify,
[tex](13x-10)+(7x-10)=180[/tex]
[tex]20x-20=180[/tex]
Inverse operations,
[tex]20x-20=180[/tex]
[tex]20x=200[/tex]
[tex]x=10[/tex]
3. Find the measure of angle (<NLM)
The inscribed angles theorem states that an angle with its vertex on the circumference (outer edge) of a circle is equal to half of the surrounding arc. One can form an equation and solve for the measure of angle (<NLM).
[tex]m<NLM=\frac{1}{2}(mNM)[/tex]
Substitute,
[tex]m<NLM=\frac{1}{2}(mNM)[/tex]
[tex]=\frac{1}{2}(7x-10)[/tex]
[tex]=\frac{1}{2}(7(10)-10)\\\\=\frac{1}{2}(70-10)\\\\=\frac{1}{2}(60)\\\\=30[/tex]
Related Questions
A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the
probability of a tornado is 0.15.
. The number of tornadoes in any calendar year is independent of the number of tornados in any other
calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 19 year period.
Answers
Answer:
.441320612
or
44.132%
Step-by-step explanation:
This is binomial
fewer than 3 is equal to p(0)+p(1)+p(2)
[tex]p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612[/tex]
** I NEED HELP PLEASE AND THANK YOU***
Instructions : X,Y,and Z are midpoints. Find the length of each segment.
Answers
Answer:
MZ = 10
ZO = 10
MO = 20
XZ = 9
YZ = 7
Step-by-step explanation:
Triangles are all the same, proportionally.
X is midpoint of 14, so 7
Y for 18, so 9
Triangle with 10 is 7, 9, 10
Full triangle is double at 14, 18, MO
Since angle N is same angle, MO is double 10, so 20
Z is midpoint, so both halves are 10
Because of midpoints, XZ and YZ with 10 form same triangle as half triangle at 9, 7, and 10 respectively.
Emma rides a bicycle 16 miles east and then 15 miles north. About how far is she from her starting point?
Answers
Step-by-step explanation:
starting pt.
root 16²+15²
= 256 + 225
=481
distance= 22 miles aprox.Which label on the cone below represents the center of the base?
D
B
Ο Α
OB
Answers
Answer:
C
Step-by-step explanation:
The center of the base is the center of the circle
The center of the circle is C
Find the value of x. Round
the nearest tenth.
Answers
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
Full working out for this question please.
On Monday Farmer Tom collected 6 times as many eggs as Farmer Jack. On Tuesday, Farmer Tom sold 425 eggs. Farmer Jack then had three times as many eggs as Farmer Tom. How many eggs did farmer Jack have?
a.150
b.175
c.125
d.25
e.75
Answers
Answer:
75
Step-by-step explanation:
Let farmar jack collected x eggs, then farmar Tom collect 6x eggs
farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so
3(6x-425)=x
or, x=75
so farmar jack had 75 eggs
Answered by GAUTHMATH
Make x the subject of the formula (help again)
I'm really bad at these
xk-w=y
Answers
Answer:
x = (y+w)/k
Step-by-step explanation:
xk-w=y
Add w to each side
xk-w+w=y+w
xk = y+w
Divide each side by k
xk/k = (y+w)/k
x = (y+w)/k
Answer:
x=[tex]\frac{y+w}{k}[/tex]
Step-by-step explanation:
Have a nice day
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
Answers
Answer:
2
Step-by-step explanation:
(1 + 1/2) ÷ (3/4)
= 3/2 ÷ 3/4
= 3/2 × 4/3
= 12/6
= 2
(0.75 × 2 = 1.5)
Answer:
2
Step-by-step explanation:
Guided Practice
A recursive formula for a geometric sequence is given. What is an explicit formula for this sequence?
a1=100an=12 · an−1a subscript 1 baseline equals 100 line break a subscript n baseline equals one-half times a subscript n minus 1 baseline
A.
an=12 · 100n−1a subscript n baseline equals one half times 100 superscript n minus 1 baseline
B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline
C.
an=100+(12)n−1a subscript n baseline equals 100 plus left parenthesis one half right parenthesis superscript n minus 1 baseline
Answers
Answer: The Answer IS Either Letter B Or Letter C
B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline
Step-by-step explanation: I Think The Answer IS Letter B
Simplify the matrix.
a = 100 ,
a n = 12 a n − a ,
1 ,
100 ,
n , − h a l f ,
n ,
1
...............................................................................................................................................
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answers
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)
Problema de Matematicas En una fábrica de papel se han elaborado, 238 942 rollos de papel higiénico, 763 924 rollos de papel toalla y 73 947 rollos de servilletas, del total de rollos se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son.
Answers
Answer:
Se faltan por vender 201,419 rollos.
Step-by-step explanation:
Total de rollos:
238 942 rollos de papel higiénico
763 924 rollos de papel toalla
73 947 rollos de servilletas
Entonces:
[tex]T = 238942+763924+73947 = 1076813[/tex]
Se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son?
Total subtraído por la cuantidad vendida. Entonces:
[tex]V = 1076813 - 875394 = 201419[/tex]
Se faltan por vender 201,419 rollos.
An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. D. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference.
Answers
Answer:
No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.
Hence the correct option is option A.
A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest taxi ride he can afford, in kilometres?
Answers
Answer:
4 kilometers
Step-by-step explanation:
First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.
2 + 0.40x = 9.60
Now, we have to solve for our x value by subtracting 2 from both sides.
0.40x = 7.60
Next, we can divide both sides by 0.40 to find out what our x value is equal too.
x = 19
Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.
So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Please help me with this anyone please and thank you
Answers
Answer:
w∈ {-1/5, -5/3]
If this is what you were looking for...
I HATE GEOMETRY I NEED HELP
Answers
Answer:
actually where is point D
Select the correct answer.
Look at ΔABC. Which triangle is congruent to ΔABC by the ASA criterion?
Answers
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answers
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
Find the sum... 6.87 + 2.39
Answers
Answer:
9.26
Step-by-step explanation:
Using the table, we can deduce that:
6+2 = 8
8+3=11
7+9=16
Using addition rules:
The '1' in the 11 moves and is added to the 'ones' place.
The '1' in the 16 moves and is added to the 'hundredths' place.
Thus,
8+1 . (1+1) (6)
9.26
It is also most certainly possible to use a calculator, which is much, much easier.
Find the sum... 6.87 + 2.39
6.87 + 2.39=9.26
a grocer mixes 20.25 kg of green tea with 35.10 kg of ordinary tea and repacks all tea in 45 packets of equal weight. how much does each packet weigh?
Answers
Answer:
1.23 kg
Step-by-step explanation:
(20.25 kg + 35.10 kg) : 45 = 1.23 kg
It takes 5 minutes for 10 people to drink 25 pints of water. At this rate, how long would it take 15 people to drink 155 pints of water
Answers
Answer:
the time taken for the 15 people to drink 155 pints is 20.67 min.
Step-by-step explanation:
Given;
10 people took 5 mins to drink 25 pints of water
[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]
Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.
What is the distance from point N to LM in the figure below?
Answers
Answer:
It is 7.5
Step-by-step explanation:
How do you calculate an antilog?
eg: antilog 2.1423
Answers
9514 1404 393
Answer:
138.77
Step-by-step explanation:
Your scientific or graphing calculator will have exponential functions for bases 10 and e. On the calculator shown in the first attachment, they are shifted (2nd) functions on the log and ln keys. Consult your calculator manual for the use of these functions.
The value can be found using Desmos, the Go.ogle calculator, or any spreadsheet by typing 10^2.1423 as input. (In a spreadsheet, that will need to be =10^2.1423.) The result using the Go.ogle calculator is shown in the second attachment.
You can also use the y^x key or the ^ key (shown to the left of the log key in the first attachment). Again, you would calculate 10^2.1423.
__
We have assumed your log is to the base 10. If it is base e (a natural logarithm), then you use the e^x key instead. Desmos, and most spreadsheets, will make use of the EXP( ) function for the purpose of computing e^( ). You can type e^2.1423 into the Go.ogle calculator.
_____
Additional comment
There are also printed logarithm tables available that you can use to look up the number whose log is 0.1423. You may have to do some interpolation of table values. You should get a value of 1.3877 as the antilog. The characteristic of 2 tells you this value is multiplied by 10^2 = 100 to get the final antilog value.
The logarithm 2.1423 has a "characteristic" (integer part) of 2, and a "mantissa" (fractional part) of 0.1423.
Find the measure of one interior angle for the following polygon
Answers
Answer:
i had the same question myself
Step-by-step explanation:
I need help also
$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?
Answers
Answer:
the answer is 100:60:40 hope it helps
Need some help in this!!
Answers
Answer:
Step-by-step explanation:
<AEC = <BED Vertically opposite angles are equal.
<A = <B An angle's vertex when touching the same part of the circumference of a circle (on the same side of CD) as another angle with the same endpoints (CD) are equal
CD = DE Given
ΔAEC = ΔBED AAS
Cual es el resultado de la siguiente división (– 1/3 a^2 b^5 – 1/2 a^5 b^4 + 2/5 a^3 b – 5a^2 b^7) / ( – 5a^2 b^2)
Answers
Answer:
dont understand clearly
Step-by-step explanation:
Using the equation y = 30x + 45, if you have a budget of 300 dollars for this job, what are the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
Answers
Answer:
8 hours
Step-by-step explanation:
y = 30x + 45
Assuming x is the hours and y is the cost
300 = 30x +45
Subtract 45 from each side
300-45 = 30x+45-45
225 = 30x
Divide by 30
225/30 = 30x/30
17/2 = x
8.5 =x
The largest number of hours without going over means round down
8 hours
HELP PLZ
Part A Translate the sentence into an expression.
2 less than 9 times h
Part B Create a scenario (word problem) using the expression above.
Part C Evaluate the expression if h is 1/3
Answers
Step-by-step explanation:
A
9×h - 2
B
the baseline of the triangle is 2 units less than 9 times the height long.
C
h = 1/3
9×1/3 - 2 = 3 - 2 = 1
cho tam giác ABC vuông tại A, đường cao AH, cho biết AH= 2cm, BC= 5cm. Tính các cạnh AB, AC, CH, BH và tính diện tích tam giác ABC
Answers
Answer:
Step-by-step explanation:
SABC= 1/2 AH.BC = 1/2 .2.5 = 5
Ta co: HC = 5 – BH
Mat khac: AH2 = HB.HC 22 = HB(5-HB) HB = 4 hoac HB = 1
Ta co cong thuc: AB2 = HB.BC
AC2 = HC.BC
Voi HB = 4 => HC = 1. Vay ta co: AB = 2√5 va AC = √5
Voi HB = 1 => HC = 4. Vay ta co: AB = √5 va AC = 2√5
sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answers
Answer: Around 68.0858 m
Step-by-step explanation:
Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35To find x To find y
[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex] [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]
To find the height of the building, add the x-value and y-value:
[tex]x+y=26.3744+41.7114=68.0858[/tex]
I hope this is correct o_o
