Answer:
Complementary angles
Step-by-step explanation:
When two angles add up to 90°, they are Complementary to each other.
Here, ∠DAB = 90° (right angles)
It means, ∠DAB = ∠BAE (vertically opposite angles)
Also, ∠BAE = a + b
So, a+b is equal to 90°. Hence, the correct option is (b) "Complementary angles".
Which of the following is a complete sentence?
Answer:
Your answer is we will go to amusement park
Please mark me as brainliest please.
Have a good day ahead :)
Answer:
The answer is We will go to the amusement park.
AABC is similar to ADEF. The measure of AC = 10, the measure of DE=8, the measure of BC = 6, and the measure of DF = 20.
Find the measures of AB and EF.
The measure of AB and EF for the similar triangle ABC and DEF are 4 and 12 respectively.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
In similar triangles, corresponding sides are always in the same ratio. The angles are congruent.
ΔABC is similar to ΔDEF. Therefore, the sides will form a ratio.
AC / DF = BC / EF = AB/DE
AC = 10
DF = 20
DE = 8
BC = 6
Hence,
10 / 20 = AB / 8
cross multiply
20AB = 80
AB = 80 / 20
AB = 4
Hence,
10 / 20 = 6 / EF
10EF = 120
EF = 120 / 10
EF = 12
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For a uniform random variable X~ U(3, 23), find the probability P(13 < X < 15) as shown on the
picture:
P(13 < X < 15) =
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
(Round the answer to 4 decimal places)
The required probability is P(13 < X < 15) = 14 for the given uniform random variable.
What is a uniform random variable?The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions used in statistics and probability theory.
The distribution represents an experiment with a random result that falls within predetermined parameters.
So, we have:
P(13 < X < 15)
According to the given graph:
The probability is 13 < X < 15.
And the point between 13 and 15 is 14 as shown in the image itself.
Therefore, we have the probability P(13 < 14 < 15).
Therefore, the required probability is P(13 < X < 15) = 14 for the given uniform random variable.
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y-5x 7x + xy x = 0 and y = 4
Answer:
x(7y)x(7y)
Step-by-step explanation:
The given expression: 7(xy)7(xy)
i.e. a product of 7 and xy.
The operation used here: Multiplication.
Commutative property of multiplication :-
a\times b=b\times aa×b=b×a for any numbers a and b.
Associative property of multiplication :-
a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.
Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]
=(x7)y=(x7)y [Commutative property of multiplication]
=x(7y)=x(7y) [Associative property of multiplication]
Las paletas de un ventilador a razón de 30 r.p.s. y se detiene en 10 s
Determinar el número de vueltas que ha dado hasta detenerse
The number of laps it has made to a stop is 300 laps
Given the following
The rate at which the fan blows = 30rps
The time it takes to blow = 10s
Required
number of laps it has made to a stop
Using the formula
Rate = Number of laps/time
30 = Number of laps/10
Number of laps = 30 * 10
Number of laps = 300
Hence the number of laps it has made to a stop is 300 laps
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the white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends. On Monday he arrives 16 minutes late. Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day. on what day of the week does he arrive just 15 seconds late
Answer:friday
Step-by-step explanation:
On Monday of the week does he arrive just 15 seconds late.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends
Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day.
On Monday he arrives 16 minutes late.
On Tuesday he arrives 8 minutes late.
On wednesday he arrives 4 minutes late.
On Thursday he arrives 2 minutes late.
On Friday he arrives 1 minutes late.
On Saturday he arrives 30 seconds late.
Sunday is a weekend.
On Monday he arrives 15 seconds late.
Hence, On Monday of the week does he arrive just 15 seconds late.
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3 5/6 + 2 4/9 in its simplest form
Answer:
>> \(6\frac{5}{18}\)
Step-by-step explanation:
1) Add the whole numbers first.
\(5+\frac{5}{6} +\frac{4}{9}\)
2) Find the Least Common Denominator (LCD) of \(\frac{5}{6} ,\frac{4}{9}\) . In other words, find the Least Common Multiple (LCM) of \(6,9\).
Method 1: By Listing Multiples
1. List the multiples of each number.
Multiples of 6 : 6, 12, 18, ...
Multiples of 9 : 9, 18, ...
2. Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 18
3. Make the denominators the same as the LCD.
\(5+\frac{5\times 3}{6\times 3}+\frac{4\times 2}{9\times 2}\)
4. Simplify. Denominators are now the same.
\(5+\frac{15}{18}+\frac{8}{18}\)
5. Join the denominators.
\(5+\frac{15+8}{18}\)
6. Simplify.
\(5+\frac{23}{18}\)
7. Convert \(\frac{23}{18}\) to mixed fraction.
\(5+1\frac{5}{18}\)
8. Simplify.
\(6\frac{5}{18}\)
Decimal Form: 6.277778
Cheers.
The addition of 3 5/6 + 2 4/9 is 113/18
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
3 5/6 + 2 4/9
Now, writing it into normal fraction
3 5/6 + 2 4/9
= 23/ 6 + 22/9
= 23/6 x 3/3 + 22/9 x 2/2
= 69/ 18 + 44/18
= 113/18
Hence, the addition is 113/18
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What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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find the value of the variable. if your answer is not a whole number, leave it in the simplest radical form
The given triangle is a rigth triangle with:
Base= y
Height= x
Hypothenuse =20√3
You have to calculate the value of the variables.
Considering the angle ∠30, the base of the triangle represents the opposite side to the angle and the height represents the adjacent side.
Since we know the measure of the hypothenuse and one angle, we can use the trigonometric functions to determine the values of x and y:
\(\begin{gathered} \sin \theta=\frac{opposite}{hypothenuse} \\ \cos \theta=\frac{adjacent}{hypothenuse} \\ \tan \theta=\frac{opposite}{adjacent} \end{gathered}\)For the variable y, you have to use the sin of 30º
\(\begin{gathered} \sin 30=\frac{y}{20\sqrt[]{3}} \\ y=\sin 30\cdot20\sqrt[]{3} \\ y=10\sqrt[]{3} \end{gathered}\)For the variable x, you have to use the cosine of 30º
\(\begin{gathered} \cos 30º=\frac{x}{20\sqrt[]{3}} \\ x=\cos 30º\cdot20\sqrt[]{3} \\ x=30 \end{gathered}\)x=30, y=10√3 → the correct option is d.
Given: LM ∥ KN
LP ⊥ KN , KL = MN
KN = 30, LM = 20
m∠KLM=126°
Find: LP
An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.
Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.
From the question, let the length of LP be represented by x.
Thus, from the given question, it can be deduced that;
LM ≅ PN = 20
KP = KN - PN
= 30 - 20
KP = 10
LP = x
Also,
<MLP is a right angle, so that;
< KLP = < KLM - <PLM
= 126 - 90
<KLP = \(36^{o}\)
So that applying the Pythagoras theorem to triangle KLP, we have;
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 36 = \(\frac{10}{x}\)
x = \(\frac{10}{Tan 36}\)
= \(\frac{10}{0.7265}\)
x = 13.765
Therefore the side LP ≅ 14.
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Identify the domain and range of the function graphed below.
Alisha earned $12.40 mowing the lawn and $6.50 raking the leaves. How much money did she earn in all?
Alisha kiếm được tổng cộng là 18.90 đô cho cả hai công việc
In a standard deck of cards (NOT including jokers), there are:
4 suits (diamonds, hearts, clubs, spades)
13 number and face cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King)
2 colors (red, black)
Face cards are Jack, Queen, King
a) What is the probability of drawing a red or black card?
b) What is the probability of drawing a 7 of spades?
c) What is the probability of NOT drawing a Diamond?
d) What is the probability of drawing a black 2?
hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((
Is the triangle with 8, 15, and 16 for sides acute, right, or obtuse?
Answer:
acute triangle.
Step-by-step explanation:
c² = a² + b² , then the triangle is right
c² < a² + b² , then the triangle is acute
c² > a² + b² , then the triangle is obtuse
8, 15, and 16
16² ....15² + 8²
256 < 289
Therefore it is an acute triangle.
Which of the following does not have 32 as a multiple A 2 B 3. C 4 D 8
Answer:
b .3
Step-by-step explanation:
every thing else is even and if u add them up u will get to 32 eventually
Answer:
B.) 3
Step-by-step explanation:
To do this problem, we should find out what factors can equal 32. So let's start with finding out. This problem is going to require multiplication and division.
Letter A is a multiple of 32, because:
32 ÷ 2 = 16, which means that 16 x 2 = 32.
Because 2 can be divided equally into 32, this answer is wrong.
_________________
Letter C is a multiple of 32, because:
32 ÷ 4 = 8, which means that 8 x 4 = 32.
Because 4 can be divided equally into 32, this answer is also wrong.
_________________
And, because the last answer equaled 8, that means that:
32 ÷ 8 = 4, which means that 4 x 8 = 32.
Which is also wrong.
_________________
This leaves us with 32 ÷ 3 = 10.6666666667. This answer cannot be multiplied evenly into 32, so it is correct.
I hope that this helps.
1999 the cpi was 166.6. The cpi increased to 172.2 by 2000. What was the rate of inflation over that period
Answer:
3.4 percent
Step-by-step explanation:
inflation of about [ 172.2 - 166.6 ] = 5.6 cpi of inflation
so the rate of inflation is [(5.6/166.6)*100] = 3.4 percent inflation.
BRAINEST IF CORRECT look at the picture
Step-by-step explanation:
Vertical angles of two crossing lines are equal so y = 163 degrees
... and z = x
Will vote brainliest!!!!!!!! Thank you!!!!!!!!!!!!
0
Step-by-step explanation:
all the ways you could do it so it would be 0
x-4y+5z=0,x+z-3y=0
6x-y+4z=0,x-7y+z=0
If f(x) = 2x² - 5, f(5) =
Answer:
45
Step-by-step explanation:
Put in '5' where 'x' is
2 (5)^2 - 5 = 45
What is the equation: \(2x^2-5\)
What do we want to find: f(5)
To find f(5), we must plug the value '5'
⇒ into the 'x' position
⇒ f(x)
So: \(f(5) = 2(5^2)-5 = 2 * 25 - 5 = 50 -5 = 45\)
Thus f(5) = 45
Hope that helps!
larry is wanting to place a fence diagonally to separate his yard from his neighbors what would the measurement of the fence need to be to fit in the yard picture below what is the length of the fence that runs diagonally what is the total meters of fencing will hr need for the entire triangle of his yard
Answer: You would have to know the number of yards separate from his neighbors yard to get the answer.
Step-by-step explanation:
For example if his yard was 50 yards from his neighbors than you would add that to the width. Length plus width to get your answer.
What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
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Question
Unit 2 Tutorials
Question 20
Mark this question
For the arithmetic sequence beginning with the terms (-2,0,2,4,6,8...), What is the sum of the first
18 terms?
0 238
0 340
o 304
0 270
Sove and continue
Answer:
270
Step-by-step explanation:
For any arithmetic sequence
nth term is given by
nth term = a + (n-1)d
where a is first term,
d is common difference
d is given by nth term - (n-1)th term
sum of n terms given by
sum = n/2(2a + (n-1)d)
________________________________________________
Given arithmetic sequence
-2,0,2,4,6,8...
first term a = -2
lets take third term as nth term and second term as (n-1)th term to find common difference d.
d = 2 - 0 = 2
using a = -2 , d = 2, n = 18
thus, sum of first 18 terms = n/2(2a + (n-1)d)
=18/2( 2*(-2) + (18-1) 2)
=9 ( -4 + 34)
=9 ( 30) = 270
Thus, sum of first 18 terms is 270.
fertilizer you put 2 qts for every 50 gal of water I only want to use 15gal of water how many qts,pts,cups??? do i put
Man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and she wants to order between 15% and 20% extra of the material
The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².
How to calculate the value?From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.
It should be noted that 15% of the material will be:
= 15% × 115.4
= 17.31 ft²
It should be noted that 20% of the material will be:
= 20% × 115.4
= 23.08 ft²
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How many terms are there in the following expression? x - 5 + 16x + 4 - 2x - 3
Answer:
Two terms
Step-by-step explanation:
First, we have to simplify reducing the number of terms, since there are like terms
x-5+16x+4-2x-3
Eventually, you'll get 15x-4, thus there are two terms.
Please correct me if I'm incorrect, and I'll change the answer, but I hope I helped :)
Need help with the provided questions
Toby bought 8 hotdogs and 5 fries. It cost $34.00
Bernie bought 2 hotdogs and 6 fries. It cost $18.00
What is the cost of one hotdog and the cost of one order of fries?
Students, draw anywhere on this slide!
Peor Decanteractive
Answer:
Each hot dog = $3
Each french fry = $2
Step-by-step explanation:
First, lets define our variables:
x = Hotdog
y = fries
Next, you need to set up a cost equation for both Toby and Bernie:
8x + 5y = 34
2x + 6y = 18
Now, we need to isolate one of the variable:
2x + 6y = 18
2x = 18 - 6y
x = 9 - 3y
Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):
8x +5y = 34
8 (9-3y) + 5y = 34
72 - 24y + 5y = 34
72 - 19y = 34
19y = 38
y or fries = $2
Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:
2x + 6y = 18
2x + 6(2) = 18
2x + 12 = 18
2x = 6
x or hotdog = $3
I hope this helps!
-TheBusinessMan
PLS HELP MEEEEEEEEEEEEEEEEEE
Answer: 8, 2 1/6, 50, 90, 7
Step-by-step explanation:
1. Average speed = Distance/Time taken for entire trip
(10 * 3 + 2 * 1)/(3+1) = 32/4 = 8 mph
2. 6 1/4 = 25/4 9 3/8 = 75/8 (75/8)/(25/4) = 3/2
x = 3/2 + 2/3 = 13/6 = 2 1/6
3. Let's say there are x quarters in the collection, there would be 3x nickels, 2x dimes, and x quarters in the collection. The collection would be worth
3x * 5 + 2x * 10 + x * 25 = 300 cents
Solve for x to get x = 50 so there are 50 quarters in the collection
4. Sam has drove 2 * 45 = 90 miles so he has 90 miles remaining. Let's say he has to drive x hours to make his average speed 60 mph, we can use this equation to find how long he has to drive
(90+90)/(x+2) = 60 and x = 1
He has to drive 90 miles/1 hour = 90mph to make his average speed 60 mph.
5. Let's say you have to run x mph to satisfy the requirements, we can use the equation
(1.5*3+0.5*x)/(1.5+0.5) = 4 and x = 7 so you have to run 7 mph in the next 0.5 hours to satisfy the requirements
how many points need to be removed from this graph so that it will be a function?
1 point
2 point
3 points
0 points
The number of points to be removed from the graph is 2
How many points to be removed from the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
2 points have the same y coordinates
Another 2 points have the same y coordinates
For it to be a function, one of the 2 points must be removed each
So, we have the number of points to be removed from the graph is 2
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Change 41/7 from an improper fraction to a mixed number.
Answer:
5 6/7
Step-by-step explanation:
how many times does 7 go onto 41?
7 x 5 = 35
remainder is 6 so;
5 6/7
Hey there!
41/7
= (5 * 7 + 6)/7
= (5 * 7)/7 + 6/7
= 5 6/7
= 5 6/7 ≈ 41/7
Therefore, your answer is: 5 6/7
Good luck on your assignment and enjoy your day’
~Amphitrite1040:)