Given:
[tex]\Delta LMN\sim \Delta LRS[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\Delta LMN\sim \Delta LRS[/tex]
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{LM}{LR}=\dfrac{LN}{LS}[/tex]
[tex]\dfrac{18}{2x-18}=\dfrac{30}{10}[/tex]
[tex]\dfrac{18}{2x-18}=3[/tex]
[tex]18=3(2x-18)[/tex]
Using distributive property, we get
[tex]18=3(2x)-3(18)[/tex]
[tex]18=6x-54[/tex]
[tex]18+54=6x[/tex]
[tex]72=6x[/tex]
Divide both sides by 6.
[tex]\dfrac{72}{6}=x[/tex]
[tex]12=x[/tex]
Therefore, the correct option is A.
A = {prime numbers between 4 and 25} B = {odd numbers less than 16} List the outcomes of A, B and explain? List the outcomes of A, B and explain?
The image below better explains it. Thank you.
Answer:
A u B = {1,3,5,7,9,11,13,15,17,19,23}
A n B = {5,7,11,13}
Step-by-step explanation:
The prime numbers between 4 and 25 are; 5, 7, 11 , 13 , 17 , 19 and 23
A = {5, 7,11, 13, 17, 19,23}
B are odd numbers less than 16
B = {1, 3 , 5,7,9,11,13,15}
The union of both is the list of all values present in both sets without repeating;
A u B = {1, 3, 5,7,9,11,13,15,17,19,23}
A n B is the set that contains values that are present in both sets
A n B = {5,7,11 , 13}
write the slope-intercept form of the equation of the line through the given points.
Answer:
y = 4x - 7 (Answer C)
Step-by-step explanation:
First find the slope of this line. Note that as we go from (2, 1) to (3, 5), x (the 'run') increases by 1 and y (the 'rise') increases by 4.
Thus, the slope, m, is
m = rise / run = 4/1, or m = 4.
Apply the point-slope form of the equation of a straight line, since we now have both the slope and two points on the line:
y - k = m(x - h) becomes y - 1 = 4(x - 2)
Solving for y, we get: y = 4x - 8 + 1, or y = 4x - 7 (Answer C)
Find the number that makes the ratio equivalent to 1:4.
5:
Answer:
5:20
Step-by-step explanation:
what's the square root of 3 to the second power
Answer:
3
*if you ever need to do more math like this, I suggest using desmos :)
Answer: 3
Step-by-step explanation: So 3 square rooted 1.732² so there you have it
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What is the surface area of a cylinder with a height of 20 meters and a diameter of 10 meters? O A) 1884 m2 OB) 863 m2 OC) 353.25 m2 OD) 785 m2
Answer:
785
Step-by-step explanation:
did the math in a calculator I got yoy
Answer:
D. 785
Step-by-step explanation:
the formula to find the surface area of a cylinder is A=2πrh+2πr^2
the diameter is a straight line through the center of a figure so half of that would be the radius and our diameter is 10 so the radius is 5
our height is 20 so now we put it into the equation it will look like this
2·π·5·20+2·π·5^2
once you do the math you will get 785.39816
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.
Answer:
I = (2,000) (0.08) (6)
I = (160) (6)
Steve pays $960 in interest
Step-by-step explanation:
I completed the quiz :)
Please help I'm failing
Answer:
Unit rate!
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1!
~ LadyBrain
This graph represents the relationship between x and y what is the equation showing the relationship between x and y
Three consecutive integers add up to 51. What are these integers
Let the three consecutive integers be x, x+1 and x+2.
According to the question, x+x+1+x+2=51
=>3x+3=51
=>3x+3-3=51-3
=>3x=48
=>x=16
Hence, first integer = 16,
second integer = 16 + 1 = 17 and
third integer = 16 + 2 = 18.
I need it soon hope you can help me
Answer:
1. a
2. d
3. 31/4
4. 57.6
5. a
hope it helped u
in which groupthe given angels(160,20)will fall,if their sum is 180
Answer:
Supplementary angles.
Step-by-step explanation:
We can define two big groups of pairs of angles.
Complementary and supplementary angles.
Two angles are complementary if the sum of their measures is equal to 90°
Two angles are supplementary if the sum of their measures is equal to 180°
Here, we have the angles 160° and 20°, and we know that their sum is 180°
Then we can conclude that the given angles fall in the group of the supplementary angles.
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
please check screenshot
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
PLZ IN NEED OF HELP!!
please help me pleaseeee
Answer:
First, we can find the least common denominator for 8 and 3 which is 24.
5/8 = 15/24
1/3 = 8/24
Then we can divide 15/24 by 8/24 which is 2 1/4.
If we then do 16 divided by 2 1/4 we get 7 1/9
Answer = 7 1/9
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Given:
ST || RU
To find:
The measure of QS.
Solution:
In triangle QRU and QST,
[tex]\angle RQU\cong \angle SQT[/tex] [Common angle]
[tex]\angle QRU\cong \angle QST[/tex] [Corresponding angle]
[tex]\triangle RQU\sim \triangle SQT[/tex] [AA property of similarity]
The corresponding sides of similar triangles are proportional.
[tex]\dfrac{QR}{QS}=\dfrac{QU}{QT}[/tex]
[tex]\dfrac{23}{QS}=\dfrac{25}{25+50}[/tex]
[tex]\dfrac{23}{QS}=\dfrac{25}{75}[/tex]
[tex]\dfrac{23}{QS}=\dfrac{1}{3}[/tex]
On cross multiplication, we get
[tex]3(23)=1(QS)[/tex]
[tex]69=QS[/tex]
Therefore, the measure of QS is 69.
The sum of 9 times a number and 7 equals 2 .
Answer:
Hey mate.......
Step-by-step explanation:
This is ur answer.....
9x + 7 = 2Hope it helps!
Brainliest pls!
Follow me! :)
Selecting two marbles from a bag containing the numbers 2,4,6,8,10,12 (with replacement) what is the probability of selecting two numbers less than 10 ?
Given:
A bag containing the numbers 2,4,6,8,10,12.
To find:
The probability of selecting two numbers less than 10.
Solution:
We have,
Total numbers = 6
Numbers less than 10 are 2,4,6,8.
Numbers less than 10 = 4
Probability of getting a number less than 10 is:
[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]
[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]
[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]
We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.
Probability of selecting two numbers less than 10 is:
[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]
[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]
[tex]\text{Required probability}=\dfrac{4}{9}[/tex]
Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000
Answer:
[tex]61600[/tex]
Step-by-step explanation:
[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]
What's the mean of 33,33,8,12,3,34,10
Answer:
The mean is: 19
Step-by-step explanation:
Add all of those numbers up (133)
Divide it by the total amount of numbers (7)
133÷7=19
Answer:
Mean: 19 | Median: 12 | Mode: 33 | Range: 31
Step-by-step explanation:
It will help you find any mean: https://www.calculators.org/math/mean-median-mode.php
an athlete is running around a circular path that has a diameter of 250 and an arc of 120 also use 3.14 as pie
Answer:
1257.14 m or 1.26 km
Step-by-step explanation: hope this helps :)
will mark brainliest
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answer:
53°
Step-by-step explanation:
Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.
For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure
the opposite side from x is 45 cm and the hypotenuse is 53 cm
sin(x)=[tex]\frac{45}{53}[/tex]
then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])
most graphing calculators should solve it from there if you plug it in, hope this helps! :)
Marsha likes to take photos with her new camera.She already has 1427 photos. She just bought her camera 15 days ago and took pictures everyday.Approximately how many pictures did she take each day?
Answer:
About 95
Step-by-step explanation:
If she bought her camera 15 days ago, then you just divide 1427 by 15. You can't take parts of pictures, so it has to be a whole number, so you round.
Answer:
95.1333333333 you should probably round it but thats how many photos she took each day
Step-by-step explanation:
1427/15= photos taken each day
Answer pleasseee, and explain how you got it.
Answer:
7.2
Step-by-step explanation:
6^2+4^2=c^2
36+16=c^2
52=c^2
x=7.2
Which of the following 2D shapes compose the net of a square pyramid? Select all that apply.
A) non-square rectangles
B) circles
squares
D) triangles
I need simple working out thank you for anyone helping me
Answer:
Step-by-step explanation:
we know that the triangle to the center is an isosceles, so the two angle on the circle of that triangle are the same. both 41, so 41*2 =82
all the way around that isosceles triangle is 180 so
180-82 = 98
the angle at O is 98°
the arc BC spans 98°
angle 'a' is 1/2(98°)
a = 49°
HELP PLEASE NO LINKS!!!!!!!!!!!!!
9514 1404 393
Answer:
17.98
Step-by-step explanation:
The sequence is geometric with first term a1 = 12 and common ratio r = 1/3. Put these numbers in the formula and do the arithmetic.
[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\S_6=12\cdot\dfrac{1-\dfrac{1}{3^6}}{1-\dfrac{1}{3}}=12\cdot\dfrac{3}{2}\cdot\dfrac{728}{729}=\dfrac{1456}{81}\approx\boxed{17.98}[/tex]
how do you write 94,300 in scientific notation
Answer:
9.44 x 10^4 in scientific notation
Step-by-step explanation:
Answer: 9.43x 10^4
Step-by-step explanation:
PLZ HELP ME, IM BAD AT THIS