Answers:
angle K = 50 degreesangle L = 90 degreesangle KML = 40 degreesangle LMN = 140 degrees========================================================
Explanation:
Rule: The interior (inside) angles of a triangle always add to 180
K+L+M = 180
5x+9x+4x = 180
18x = 180
x = 180/18 ... divide both sides by 18
x = 10
That x value directly leads to...
angle K = 5x = 5*10 = 50 degreesangle L = 9x = 9*10 = 90 degrees (aka right angle)angle M = 4x = 4*10 = 40 degreesAs a check,
K+L+M = 50+90+40 = 180
This confirms we have the right x value.
--------------------------
We can further say,
angle KML = interior angle M = 40 degreesangle LMN = 180 - (angle KML) = 180 - 40 = 140 degreesnote how interior angles K and L add to exterior angle LMN
50+90 = 140
This is an application of the remote interior angle theorem.
Answer:
Angle K = 50
Angle L = 90
Angle KML = 40
Angle LMN = 140
Step-by-step explanation:
Solve for x. We know that triangles' interior angles add up to 180.
So, we can set the values to equal to 180 and solve for x.
5x + 9x + 4x = 180
Simplify.
18x = 180
Now, divide by 18.
x = 10
Now, plug 10 in for each angle.
Angle K = (5 * 10) = 50
Angle L = (9 * 10) = 90
Angle KML = (4 * 10) = 40
For this last angle, we use the supplementary theorem that says "angles that are supplementary to each other add up to 180".
So, we do angle LMN + 40 = 180
Angle LMN = (180 - 40) = 140
#teamtrees #WAP (Water And Plant)
Two mathematicians were both born in the last 500 years. Each lives (or will live) to be 100 years old, then dies. Each mathematician is equally likely to be born at any point during those 500 years. What is the probability that they were contemporaries for any length of time
Answer:
The answer is "0.36".
Step-by-step explanation:
we assume, that they are not blood-relatives, then we need both the dates (birth and death)
Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.
Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])
Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]
S Year of birth'
After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.
Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):
[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]
For just a mathematician, are using the same rationale 2.
By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):
[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]
PLS HELP
What is the slope of the linear function
y=3/2x +3
Is it
3
-3
3/2
-3/2
Round this number to the nearest thousand
13,278
Answer:
13,000................
Answer:
13,000
Step-by-step explanation:
Its 13,000 because that 2 changes into a 3 but three isn't over 5.
Whats the answer to -6(12p - 8n) in distributive Property?
Answer:
−72p+48n
Step-by-step explanation:
Addilyn received 300 of the most popular beads for her birthday.
There are 30 beads per package. How many packages did she receive?
1. a = 300 + 30
2. a = 300 x 30
3. a = 300 divided by 30
4. a = 300 - 30
Answer:
3. a=300/30
Step-by-step explanation:
you want to figure out how many packages she received, and there are 30 beads in each package. so, you divide the total amount of beads (300) by the amount in each package to determine how many packages there are. 300/30=10 packages of beads
Evaluate each expression if a = 3, b = 5, and c = 1.
what is ac + b
Answer:
a = 3, b = 5, and c = 1.
what is ac + b=8 answer
Step-by-step explanation:
a(c)+b
3(1)+5
3+5= 8
The required solution is 8 when substituting the values of a = 3, b = 5, and c = 1.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
ac + b
We have to determine the evaluation when a = 3, b = 5, and c = 1.
As per the question, we have
⇒ ac + b
Substitute the values of a = 3, b = 5, and c = 1 n the above expression,
⇒ 3(1) + 5
⇒ 3 + 5
Apply the addition operation, and we get
⇒ 8
Thus, the required solution is 8.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ5
help please ill mark brainliest
Answer:
your right that the right answer
Answer:
last one is right please please please mark me brainliest if apreciated
Step-by-step explanation:
What is this answer 5⁶ ÷ 5², please help.
frank has an eraser. it has a mass of 4g and a volume of 2cm3 what is the density?
Answer:
2 g/cm^3
Step-by-step explanation:
Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16
anser:15
Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15
Mean of given dataset is 15.
What is mean?It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.
Given dataset
12, 16, 10, 26, 14, 12
Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]
= [tex]\frac{90}{6}[/tex]
= 15
Mean of given dataset is 15.
Find out more information about mean here
https://brainly.com/question/11163338
#SPJ3
FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.
Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.
Step-by-step explanation:
The measure of angle 1 should be 80 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.
The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.
Therefore 30° + m ∠1 + 70° = 180°.
100 + m ∠1= 180°.
So, m ∠1= 80°.
Learn more about supplementary angles here:
https://brainly.com/question/2882938
#SPJ2
The radius of a circle is 7 cm. Find its area in terms of \piπ.
Answer:
153.94cm²
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]Area = \pi \times ({radius})^{2} [/tex]
[tex]Area = \pi \times ({7})^{2} [/tex]
[tex]Area = \pi \times 49[/tex]
[tex]Area = 49\pi[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Autumn plans to run 14 miles. She ran 5 & ⅔ miles and then stopped for a water break. How many miles does Sally have left to run?
Answer:
7 and 1/3 miles
Step-by-step explanation:
what is the answer to 3(-4x-5)
Answer:
-12x -15
Step-by-step explanation:
3(-4x-5)
3*-4x -3*5
-12x -15
Answer:
-12x-15
Step-by-step explanation:
expand and simplify
-12x-15
12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?
Answer:
80
Step-by-step explanation:
64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
Ramu worked 8 hours and got 400 rupees as wages. Benny worked 6 hours and got 300 rupees.
Are the wages proportional to the hours of work?
Answer:
Step-by-step explanation:
Son directamente proporcionales porque cuanto mas horas trabajes mas dinero ganaras
What is the correct answer?!
HELP FAST!
Answer:6.66
Step-by-step explanation:
I’m pretty sure its infinite if not just putt that answer
Answer: 84 r4
Step-by-step explanation:
I think that is correct.
solve for x parallel
Answer:
25
Step-by-step explanation:
3x - 5 = 2x + 20 ( corresponding angles)
3x - 2x = 20 + 5
x = 25
PLEASE HELP
An 18 ounce jar contains 510 grams of grape jelly. How many kilograms of grape jelly does the jar contain?
1 kg = 1000 grams
A) 5.1 kg
B) 0.52 kg
C) 0.51 kg
D) 51 kg
Answer:
the answer is 5.1 killograms
Step-by-step explanation:
hope this helps
1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please
Answer:
1) x=10 2) x= -7.25
Step-by-step explanation:
Im not sure
if you divide a polynomial of degree 7 by a polynomial of degree 2, the quotient will be a polynomial of degree ___
Answer:
5
Step-by-step explanation:
When dividing degrees, you subtract. Ex: x^6/x^1=x^5
5th grade math. Correct answer will be marked brainliest.
Answer:
i think its 7
Step-by-step
if the jeans were $3.50 and she bought 2 just do 3.50x2 and you will get 7
Please help this is my last chance :(
Answer:
Mean:29.25
Median:25
Mode:25
Outlier:69
Range:53
Step-by-step explanation:
mean: 18+69+22+27+32+25+16+25/8=29.25
median: put in order: 16+18+22+25+25+27+32+69
middle is 25+25/2 which is 25.
median:25.
Mode = 25.
Outlier = 69.
Range is 69-16=53
Hope this helps :) pass your test :)
Answer:
mean = 29.25
median = 25
mode = 25
outlier = 69
range = 53
Step-by-step explanation:
Mean: add all values and divide by number of values 234 ÷ 8
Median: middle value if there are an odd number of data values, or the average of the two middle values if there are an even number of data values
Mode: data item seen most often
Outlier = data value that is extreme
Range = Highest value minus lowest value
can someone please help me out on this
Answer:
a.
Step-by-step explanation:
for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)
then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)
since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in
Could u help me !! Plz I will gave Brainliest
Answer:
1.) 120.722222206 or 120.72
2.) 650.250000382 or 650.25
Step-by-step explanation:
my brain is very where, i don’t understand this please help me
The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.
Answer:
I don't know
I don't know
Can someone please help this exam is timed!!
all real numbers
all real numbers greater than or equal to -2
all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
Answer:i think all real numbers greater than or equal to -2
Step-by-step explanation:
hope this helps
what’s the slope of the line?
Answer:
-10/3 or -3 and 1/3
Step-by-step explanation:
you can do y1-y2 over x1-x2 of two points
or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3
but its negative slope cause your going back 3 to the left
Conrad hires a band to pl ay for his graduation party. The band charges a flat fee of $200, plus $125 per hour after the first hour. Which equation best describes the cost, c, of the band in relation to the time, t, that they play?