Answer:
Side LM is congruent to side RQ
Angle MNO is congruent to angle RST
Side ON is congruent to side ST
Angle LMN is congruent to angle QRS
Step-by-step explanation:
A way to solve this is to use parchment paper or draw the same shape next to each other, as you will get these:
Side LM is congruent to side RQ
Angle MNO is congruent to angle RST
Side ON is congruent to side ST
Angle LMN is congruent to angle QRS
pls let me know what you get for the question below
Answer: 2.2532
Step-by-step explanation:
From the table attached :
Expected probability = sum of p(x) * x ; wher P-X) is the probability of x
E(p(x), x) = (0*0) + (1 * 0.06) *(2*0.1) + (3 * 0.16) * (4 *0.16)+ (5*0.26) * (6 *0.08) + (7 * 0.13) + (8 * 0.05)
Pp(x) * x) = 2.2532
Therefore, the expected value of the distribution is 2.2532
Which of the following is a correct statement?
A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.
B. An advantage of a systematic sample is that no list of enumerated data items is required.
C. Convenience sampling is used to study shoppers in convenience stores.
D. Judgment sampling is an example of true random sampling
Answer:
A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.
Step-by-step explanation:
Stratified sampling involves grouping the population into subgroups before sampling. It provides a more manageable and cheaper means of sampling data by placing the population into grouped strata. The only problem is that this sampling method cannot be used in a data population that cannot be stratified. In this question, the phone book is stratified into subgroups of every five pages, and the third person listed is chosen to represent the subgroup
Emily put $3000.00 in a 2 year CD paying 4% interest compounded monthly. After 2 years she withdrew all her money. What is the amount of the withdrawl?
Answer:
A=3244.8 dollars
Step-by-step explanation:
A=p(1+r)^t
A=3000(1+0.04)^2
A=3244.8 dollars
Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then what should the next step be? subtract 3 add 8 subtract 5x
Answer:
subtract 3, because that'll allow the variables to be on one side and the constants on the other
Step-by-step explanation:
PLs help I need to know what 11 is I will mark u as brianlist
Help please
Find the measure of KM
Answer:
answer is 1 answer is 4-5 = 1 is 3-6 answer is only 3
An exterior angle of a triangle is equal to the sum of________ opposite angle
Answer:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Answer:
Two remote interior angles.
Write a polynomial f(x) that satisfies the given conditions.
8
Degree 3 polynomial with integer coefficients with zeros -5i and
5
Answer:
f(x) = x^3 -5x^2 +25x -125
Step-by-step explanation:
For zero x=a, one of the factors is (x -a). If the polynomial has integer coefficients, its complex roots come in conjugate pairs. So, the roots are ...
roots: -5i, 5i, 5
factors: (x -(-5i))(x -5i)(x -5)
Multiplying these out gives your polynomial as ...
f(x) = (x^2 +25)(x -5)
f(x) = x^3 -5x^2 +25x -125
Can someone answer all of them or at least one please. Thank you :)
1. Solve the equation below for the variable (y):
2x + 5y = 20
A. y = 20 - 2x / 5
B. y = 18x / 5
C. y = 5 (20 - 2x)
d. y = 2x - 20 / 5
2. Substitute r = 3 and h = 5 into the formula V = πr^2h then evaluate
A. 235.5
B. 47.1
C. 141.3
3. In a formula, any operation we can do to a number can also be done to a variable.
True or False?
Answer:
1) A. y= (20 - 2x) /5
2) C. 141.3
3) True ( Your answers are here.)
Answer:
1. is A 2. is C 3. is I believe True
Step-by-step explanation:
1.
2x + 5y = 20
-2x -2x
5y = 20 - 2x
/5 /5
Answer: y = 20 - 2x /5
2.
V = πr^2h
π=3.14 r=3 h=5
3.14*3^2*5
1.413*10^2 which = 141.3
3.
I am not completely sure but I think it is True
Hope this helps
The polynomial function F(x)= 2x^2 +4 has a critical point at which of the
following x-values?
A. X=0
B. X=4
C. X=2
D. X=-2
the answer is A,when X=0
Can someone help me with this
Answer:
D
Step-by-step explanation:
Apply rule : [tex]-(-a)=+a[/tex]
Negative times negative is positive.
The expression turns into a sum of fractions.
Simplify the following expression. (m^2-m^3-4)-(4m^2+7m^3-3)
Answer:
2m
4
−2m
3
−26m
2
−23m+20
Step-by-step explanation:
Hey loves!!! Can any of you lovely people help me with this question?
Answer:
AAS
Step-by-step explanation:
As we can see, they tell us that both of the angles on the bottom are congruent. Since they share a side, that means that one side is congruent too. So it must be two angles and one side. It can't be ASA, because the congruent side is not in between the two congruent angles, so it must be AAS
Hey There!!
Your correct choice will be AAS Theorem.
Step-by-step explanation:
Because, two angles and any side of one triangle are congruent to two angles and any side of another triangle, then these triangles are congruent Thus, given a triangle ADB and CDB. ∠BAD = ∠BCD = 90°. (Angle), Then, BD = BD (The common side) As given AAS Theorem. Therefore, ∆ADB ≅ ∆CDB by the AAS theorem.
Hope This Explaining was not confusing . . .
By ☆Itsbrazts☆
Hi May I know how to solve this question with step by step explanation please
Answer:
a = 1, b = - 2
Step-by-step explanation:
The points that lie on the curve and straight line satisfy the corresponding equations.
Substitute the points into their corresponding equations, that is
(1, - 1 ) → - a = 1² + b = 1 + b ( multiply both sides by - 1 )
a = - 1 - b → (1)
(3, 3 ) → [tex]\frac{-3b}{2}[/tex] = [tex]\frac{3}{a}[/tex] ( cross- multiply )
- 3ab = 6 ( divide both sides by - 3 )
ab = - 2 → (2)
Substitute a = - 1 - b into (2)
(- 1 - b)b = - 2 , distribute left side
- b - b² = - 2 ( multiply through by - 1 )
b² + b = 2 ( subtract 2 from both sides )
b² + b - 2 = 0 ← in standard form
(b + 2)(b - 1) = 0 ← in factored form
Equate each factor to zero and solve for b
b + 2 = 0 ⇒ b = - 2
b - 1 = 0 ⇒ b = 1
Substitute these values into (1) for corresponding values of a
b = - 2 : a = - 1 - (- 2) = - 1 + 2 = 1
b = 1 : a = - 1 - 1 = - 2
Thus a = - 2, b = 1 or a = 1, b = - 2
Given that a > b then a = 1, b = - 2
..........................
Answer:
[tex]\boxed{-10000}[/tex]
Step-by-step explanation:
[tex]F(x)=\frac{1}{x}[/tex]
Let x = -10000
[tex]F(-10000)=\frac{1}{-10000}[/tex]
[tex]F(-10000)= -0.0001[/tex]
-0.0001 is closest to 0 when x value is -10000.
No other value can work from the other options, options B and C increase the value from 0. Option D would make the function undefined.
Solve for xxx. Your answer must be simplified. 7>x/4
Answer:
28>x
Step-by-step explanation:
7>x/4
remove the denominator by multiplying both sides by 4
4×7>x/4×4
28>x
If the cos 23° = two thirds, then the sin 67° = _____. two thirds, because the angles are complementary one half, because the angles are complementary three halves, because the angles are supplementary 1, because the angles are complementary
Answer:
two thirds, because the angles are complementary
Step-by-step explanation:
The cosine of an angle is equal to the sine of its complement.
cos(23°) = 2/3 = sin(67°)
The cos23° = 2/3 = sin67° because the angles are complementary If the cos 23° = two thirds.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given:
cos23° = 2/3
The above expression can be written as:
cos(90-67) = sin67° (cos(90-θ) = sinθ)
Thus, the cos23° = 2/3 = sin67° because the angles are complementary If the cos 23° = two thirds.
Learn more about trigonometry here:
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Given that Arccos (√3/2)=β, what are all the angle measurements for right triangle ABC?
Answer:
30°, 60° and 90°
Step-by-step explanation:
Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.
Note that a right angled triangle is made up of two acute angles and a right angled (90°)
Let's get one of the acute angles first
If Arccos (√3/2)=β
β = cos^-1 √3/2
β = 30°
This shows that one of the acute angles is 30°
To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.
90+30+x = 180
120+x = 180
x = 180-120
x = 60°
All the angle measurement for the right angled triangle are 30°, 60° and 90°
the nth term of a sequence is n^2 -n-2 .find the sum of the first and third terms
Answer:
2
Step-by-step explanation:
substitute n=1 and n=3 in the given equation
1 st term is (1)^2-1-2 = 1 -1 -2 = -2
3rd term is (3)^2-3-2 = 9-3-2=4
sum of 1st and 3rd term is -2 + 4 = 2
A map of your town has a scale of 1 inch to 0.25 mile. There are two roads that are 5 inches apart on the map.
Make x the subject of the formula y = m x − c
Answer:
y + c ÷ m = x
Step-by-step explanation:
You start of with:
y = mx - c
We can get rid of the + c by putting it on the other side. When a number goes to the other side it does the opposite, so the - will become a +. It will end up as:
y + c = mx
We just need x on itself so we need to get ride of m. In this sum, mx means that they are multiplying together, we need to make that divide. So we take m on the other side and make it divide. This brings us to x on itself.
(y+c) ÷ m = x
Hope this helps.
x can be changed into the subject of the formula as x = (y + c) / m.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Subject of an equation is that variable we are going to find out.
The given equation is y = mx - c.
Here y is the subject.
We need to rewrite the equation to make x the subject.
y = mx - c
Adding c on both sides,
y + c = mx - c + c
y + c = mx
Dividing both sides by m, we get,
(y + c) / m = mx / m
(y + c) / m = x
Hence the given formula y = mx - c can be rewritten to make x the subject as x = (y + c) / m.
To learn more about Equations, click here :
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I need a. Correct answer I will mark brainliest
Answer:
Option (A)
Step-by-step explanation:
By satisfying the equation of a function 'f' by each coordinates given in the options we can get the point which lies on the graph of f(x) = [tex]2\times (5)^x[/tex]
Option (A). (1, 10)
f(1) = [tex]2\times (5)^1[/tex]
10 = 10
True.
Therefore, point (1, 10) lies on the graph.
Option (B). (0, 10)
f(0) = [tex]2\times 5^0[/tex]
10 = 2
Not true.
Therefore, point (0, 10) doesn't lie on the graph.
Option (C). (10, 1)
f(10) = [tex]2\times 5^{10}[/tex]
1 = 19531250
Not true.
Therefore, point (10, 1) doesn't lie on the graph.
Option (D). (0, 0)
f(0) = [tex]2\times 5^0[/tex]
0 = 2
Not True.
Point (0, 0) doesn't lie on the graph.
Option (A) will be the answer.
I don’t have a graphing calculator, please help!
Answer: is your first option
Step-by-step explanation:
after going over all the available equations, your first option is the only one that had results that were much more reasonable than the others. hope it helps.
In △ABC, m∠A=27°, c=14, and m∠B=25°. Find a to the nearest tenth.
Answer:
8.1
Step-by-step explanation:
Consider the following equation. x^2 - 4 x - 1 = 0 To complete the square, first rewrite the equation as x^2 - 4 x = 1. What value would then be added to both sides of the equation to complete the square? (Enter an exact number.)
Answer:
[tex]\large \boxed{\sf \ \ \ 4 \ \ \ }[/tex]
Step-by-step explanation:
Hello, please find below my work.
[tex]x^2-4x-1=0 \ \ \text{add 1 to both parts of the equation}\\\\<=> x^2-4x-1+1=0+1=1\\\\<=> x^2-4x=1[/tex]
We know that for any a and x real numbers we can write
[tex](x-a)^2=x^2-2ax+a^2[/tex]
When we compare with the left part of the equation we can identify the term in x so that -4=-2a (multiply by -1) <=>4=2a (divide by 2) <=> a = 4/2 = 2
So we can write
[tex](x-2)^2=x^2-4x+2^2=x^2-4x+4[/tex]
So we have to add 4 to both sides of the equation to complete the square and it comes:
[tex]x^2-4x-1=0 \ \ \text{add 1 to both parts of the equation}\\\\<=> x^2-4x-1+1=0+1=1\\\\<=> x^2-4x=1 \ \boxed{\text{ add 4 to complete the square}} \\\\<=>x^2-4x\boxed{+4}=1+4=5\\\\<=>(x-2)^2=5 \ \text{ we take the root } \\ \\ <=>x-2=\pm \sqrt{5}\ \text{ we add 2 } \\ \\ <=> x = 2+\sqrt{5} \ \text{ or } \ x = 2-\sqrt{5}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number? A. 1/3 B. 1/2 C. 1/36 D. 1/6
Hey Mate !
Your Answer is given in the snip below !!
Please do mark me as brainliest !!!
(ANSWER= (D) [tex]\frac{1}{6}[/tex] )
Explanation
Answer:
You have a standard number cube.
What is the probability of rolling a number less than 3, and then rolling a prime number?
D. 1/6
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer: probability of getting two 5s =0.04
probability of getting at least one 5 =0.36
probability of getting a total score greater than 5 =0.6
Step-by-step explanation:
Total outcomes on 1 spinner = 5
Then , total outcomes of spinning it 2 times= [tex]5\times5 = 25[/tex]
Number of outcomes for getting two 5's = 1
Then, the probability of getting two 5s [tex]=\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{1}{25}=0.04[/tex]
Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9
Then, the probability of getting at least one 5[tex]=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{9}{25}=0.36[/tex]
Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4
Then, the probability of getting a total score of 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{4}{25}[/tex]
Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15
Then, the probability of getting a total score greater than 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{15}{25}=\dfrac{3}{5}=0.6[/tex]
Help ASAP! Will name brainliest!
Answer:
2 by 3
Step-by-step explanation:
please mark brainliest if it helped
Please help I don't understand
Answer:
£531.52
Step-by-step explanation:
We are given the profit in week 1 and information about week 2. We are asked for the difference between week 2 profit and week 1 profit.
__
In week 2, pizza is sold 4 ways. The diagram shows the numbers of pizzas sold each way. The table shows the profit made for each way the pizza was sold. We need to add up the profits from each of the sales to find the profit for week 2.
10-inch/normal price: profit = 407×£3.72 = £1514.0410-inch/offer price: profit = 358×(-£0.49) = -£175.4212-inch/normal price: profit = 169×£5.26 = £888.9412-inch/offer price: profit = 142×(-£0.04) = -£5.68Then the total profit in week 2 is ...
£1514.04 -175.42 +888.94 -5.68 = £2221.88
So, profit in week 2 exceeds profit in week 1 by ...
£2221.88 -1690.36 = £531.52 . . . more profit in week 2
A tree has a shadow that is 9 feet long. Otis is 4 feet tall, and he is standing next to the tree. Otis has a shadow that is 4.5 feet long.
Answer:
8 ft
Step-by-step explanation:
We can use ratios to solve
tree Otis
-------------------- = --------------
tree shadow Otis shadow
tree 4 ft
-------------- = ----------------
9 ft 4.5 ft
Using cross products
4.5 tree = 4* 9
4.5 tree = 36
Divide each side by 4.5
tree = 36/4.5
tree =8