Answers
Answer:
Step-by-step explanation:
Given:
MO bisects ∠KMN and LO bisects ∠KLN
To prove:
LK ≅ LN
Statements Reasons
1). MO bisects ∠KMN 1). Given
2). LO bisects ∠KLN 2). Given
3). ∠KLM ≅ ∠NLM 3). Definition of angle bisector
4). ∠KMO ≅∠NMO 4). Definition of angle bisector
5). ∠KMO + ∠KML = 180° 5). Linear pair postulate
6). ∠NMO + ∠NML = 180° 6). Linear pair postulate
7). ∠KMO + ∠KML = ∠NMO + ∠NML 7). Transitive property of equality
8). ∠KMO + ∠KML = ∠KMO + ∠NML 8). Substitution property
9). ∠KML = ∠NML 9). Subtraction property of equaity
10). LM ≅ LM 10). Reflexive property
11). ΔLKM ≅ ΔLNM 11). ASA property of congruence
12). LK ≅ LN 12). CPCTC
Related Questions
New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters
Answers
Answer:
The correct answer is;
A(n) = 12 + (n-1)11; 166 millimeters
Step-by-step explanation:
Here, we want to write a rule representing the growth
From the question, we can see that the rate of growth is ;
34-23 = 23-12 = 11
This means it grows at a rate of 11 mm per day
So on the 15th day, its height will be;
We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference
The nth term An can be represented as;
An = a + (n-1)d
where a = 12 mm , n = 15 and d = 11 mm
Thus, we have
An = 12 + (15-1)11
An = 12 + 154
An = 166 mm
A map has a scale of 4.5 inches=36 kilometers. If the distance between the two cities is 8.5 inches, what is the actual distance between the cities
Answers
9514 1404 393
Answer:
68 km
Step-by-step explanation:
Actual distance (d) will be proportional to the map distance.
d/8.5 = 36 km/4.5
d = (36 km)(8.5/4.5) = 68 km
The actual distance is 68 kilometers.
one baseball team played 24 games throughout their entire season if this baseball team won 6 of those games what percentage did they win
Answers
Answer:
25%
Step-by-step explanation:
As it states in the question there are 24 total games
So the denominator must be 24, The problem also states they won 6 games.
So the fraction of the games they won is 6/24.
But the qustion is not about the fraction, its about the percentage of the games they won.
so you can simplify 6/24 to 1/4 which eqeal to 25%
1/4=25%
So 25% is the answer.
ASAP!! WILL MARK BRAINLIEST!!
Is it a right triangle ??
Answers
Explanation
We can use Pythagorean’s theorem to know if it’s a right triangle or not.
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answers
Answer:
The polynomial is ;
x^3 -2x^2 -13x - 10
Step-by-step explanation:
Given the zeros, we set them to equal zero so as to get the linear factors
Mathematically, that will be as follows;
x = -2
x + 2
x = 5
x-5
x = -1
x + 1
So we have the polynomial as;
(x + 1)(x + 2)(x-5)
= (x -5)(x^2 + 3x + 2)
= x^3+ 3x^2 + 2x -5x^2 -15x - 10
= x^3 -2x^2 -13x - 10
What is the approximate area of rectangle ABCD?
Answers
Answer:
I think it's 158
Step-by-step explanation:
Answer:
158
Step-by-step explanation:
The formula for the area of a rectangle is A = bh.
1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)
Answers
Answer:
The equivalent expression is cosec2x
option B
Step-by-step explanation:
The correct question is ;
which expression is equivalent to sec2xcot2x?
Solution
Mathematically;
sec2x = 1/cos2x
cot2x = 1/tan2x
so we have
1/cos2x * 1/tan2x
recall that the product of tan and cos is sin
from the formula;
tan = sin/cos
so we have our final answer as;
1/sin2x
Kindly recall that ;
sin = 1/cosec
so therefore;
1/sin2x = csc2x
On a timer please help
Which could be the graph of f(x) = |x - h| + k if h and k are both positive?
Answers
Answer: a
Step-by-step explanation: edge 2020
Mae Ling earns a weekly salary of $335 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
Answers
Answer:
She made $664 during that work week.
Step-by-step explanation:
As Mae Ling earns $ 335 per week plus a commission of 7% with respect to the value of the sales she makes, and in the week she made sales for $ 4,700, to determine how much money she earned in the week the following calculation must be made:
335 + (4,700 x 7/100) = X
335 + (32,900 / 100) = X
335 + 329 = X
664 = X
Therefore, during that week Mae Ling earned $ 664.
what is the solution to the system of equations graphed below
Answers
Answer:
A. (-2, 1)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.
Answer is:
A.
(-2, 1)
Genevieve drew a right triangle such that one of its acute angles is five times the measure of the other acute angle. Find the measure of the smallest angle of the triangle.
Answers
Answer:
15°Step-by-step explanation:
Let the smaller angle be xThen the other angle is 5xSum of acute angles equals to 90°
x + 5x = 90°6x = 90°x = 90°/6x = 15°The smallest angle is 15°
What is the product?
4^3 4^-3
Answers
Answer:
Im pretty sure its 1
Step-by-step explanation:
If you meant 4^3*4^-3, then yeah, its 1
please answer (NOT A MULTIPLE CHOICE ANSWER)
In ΔOPQ, \text{m}\angle O = (6x-14)^{\circ}m∠O=(6x−14) ∘ , \text{m}\angle P =(2x+16)^{\circ}m∠P=(2x+16) ∘ , and \text{m}\angle Q = (2x+8)^{\circ}m∠Q=(2x+8) ∘ . Find \text{m}\angle Q.m∠Q.
Answers
Answer:
you are incorrect it is actually 107 degrees
Step-by-step explanation:
Tell whether the relation is a function.
Answers
Answer:
No, it is not a function
Step-by-step explanation:
Here, we want to tell if the relation is a function
For the relation to be a function, each independent variable must be mapped to only a single dependent variable
So what this means is that one term of the independent side must be mapped to one term of the dependent side
From the question, we can see that -10 and -15 were both mapped to -10 which should not be so
This means that the relation is not a function
A boulder, initially at rest, falls off the top of an overhanging cliff during a storm. The cliff is 96 feet high. How long will it take to hit the road below? Round your answers to the nearest thousandth.
Dropped: h(t)=-16t^2+s
Answers
Answer:
1.94 seconds
Step-by-step explanation:
At what time is Ann driving 35 mph? show the work that leads to your answer
Answers
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
please help me with the question
Answers
Answer:
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
Step-by-step explanation:
Point-slope form of equation of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form
[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]
Hence,
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
PLEASEEEE HELPPPPPPP!!
Answers
Answer:
15.13 cm
Step-by-step explanation:
We are given:
Lateral surface area of a right circular cone : πr√r² + h²
From the question, we know that:
Lateral surface area = 236.64cm²
Radius = 4.75cm
Height = ?
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)² - π ×4.75²]/π
h = √(2481.9275169 - 70.882184247)/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
Bob has 8 more dimes than quarters if he has a total of $4 .30, how many of each coin dies he have?
Answers
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in the school play?
Answers
Answer:
12 males
Step-by-step explanation:
3:8= 8 is for male
32÷8= 4
4×3= 12 males
hope it helps!
The average time a human being can hold their breath underwater is 1 minute. A hippo can hold its breath underwater for at least 5 times as long as a human. Write an inequality that represents how long a hippo can hold its breath underwater.
Answers
Answer:
Average breath hold time by hippo under water ≥ 5 minutes
Step-by-step explanation:
Average time by human = 1 minute
Average time by hippo = ≥ 5 times human
Since average human breath hold time = 1 minute
Average breath hold time by hippo = 5 * 1 minute
Average breath hold time by hippo under water ≥ 5 minutes
In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left
Answers
Answer: 25 ways.
Step-by-step explanation:
first we have 1,2,6. this can appear once.
4, can appear in twice.
3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]
by not including itself, an appearing on the left side. one number can be written 25ways
[tex]3x+42=75[/tex]
Have a happy holiday!
Answers
Answer: X=11
thank you!!! happy holidays!! :}
Answer: x=11
Step-by-step explanation: 3x+42=75
Step 1: Subtract 42 from both sides.
3x+42−42=75−42
3x=33
Step 2: Divide both sides by 3.
3x
3
=
33
3
x=11
I need The rate of change
Answers
Answer:
m=4
Step-by-step explanation:
To find the average rate of change, you have to calculate the change in y over x which gives you 4
Which situation represents a proportional relationship?
Answers
Answer:
So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.
A coach in a train can seat exactly 72 people for a trip. The train has 12 such coaches. If the train made 156 trips in full capacity in a year, how many people has it carried in that time?
Answers
72 x 12 = 864
864 x 156 = 134,784
in the capacity of the year, 134784 people have been carried on the train
merry christmas:)
In the word problem, the train has carried 134,784 people in that year.
How to Solve the Problem?To calculate the total number of people carried by the train in a year, we need to find the number of people carried in a single trip and then multiply it by the total number of trips made in a year.
Each coach can seat exactly 72 people, and there are 12 coaches on the train. So, in a single trip, the train can carry:
72 (people per coach) * 12 (number of coaches) = 864 people
Now, the train made 156 trips in full capacity in a year. So, the total number of people carried in that time would be:
156 (trips) * 864 (people per trip) = 134,784 people
Therefore, the train has carried 134,784 people in that year.
Learn more about word problem here: https://brainly.com/question/21405634
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Write the expression as an algebraic expression of x that does not involve trigonometric functions:
[tex] csc({cos}^{ - 1} x)[/tex]
Answers
Answer:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Step-by-step explanation:
Please refer to the attachment.
We have:
[tex]\csc(\cos^{-1}(x))[/tex]
First, we will let:
[tex]\cos^{-1}(x)=\theta[/tex]
Then:
[tex]x=\cos(\theta)[/tex]
So, the adjacent side of our triangle is x and the hypotenuse is 1.
Then by the Pythagorean Theorem, the opposite side is given by:
[tex]x^2+o^2=1^2[/tex]
So:
[tex]o=\sqrt{1-x^2}[/tex]
Going back, we have:
[tex]\csc(\cos^{-1}(x))[/tex]
Since arccos(x) is θ:
[tex]=\csc(\theta)[/tex]
Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:
[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]
Hence:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
The interval or intervals for witch (x-1)(x-2)>0 is/are
Answers
Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?
Answers
Answer:
100*150=15000 calories
Step-by-step explanation:
100 times 150 is 15000 because you are multipling 2 people
I don't know if it is correct
just check and if it isn't then check some one elses work.
Please help I will give brainliest!!