Answer:
See proof below
Step-by-step explanation:
Two angles that are linear pair sums up to 180°
If angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, then;
1+a = 180....1
2+b= 180....2
Taking the sum of both equations
1+2+a+b = 360°... 3
Note that the sum of the adjacent angles will also be 180° since they also lie on the same straight line, hence;
1+2 = 180°...4.
Substitute 4 into 3
From 3;
1+2+a+b = 360°
(1+2)+(a+b) = 360°
180+(a+b) = 360
a+b = 360-180
a+b = 180
Since the sum of a and b is 180°, this shows that angles are supplementary since the sum of 2 supplementary angles is also 180°
Hence this shows that the consecutive interior angles a and bare supplementary.
Answer:
180-35=145 Degrees
Step-by-step explanation:
TBH I may not have a complete understanding; but what I do know is a straight line (or angel if you so chose) is equal to 180 degrees (NOTE: supplementary- angels are when 2 angels that are added up to 180 degrees) and on my part of the question is: "Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof that consecutive interior angles a and b are supplementary".
Now in my whole complete course its asking a bout a ski slope and it gives me the 35 degree angle and we need to figure out the missing angle, we have the same picture as listed above.... knowing that straight lines are 180 degrees I subtracted 180-35 and I got 145 degrees now either i'm right or i'm missing som I did in a few years back but most of my information is basically backed up by some understanding I do know
Instructions: Find the equation of the line through point (2, -1) and
parallel to 2x + 5y = 15. Use a forward slash (i.e. "/") for fractions (e.g. 1/2
for 3).
Answer:
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
Passes through: [tex](2,-1)[/tex]
Parallel to: [tex]2x + 5y = 15[/tex]
Required
First, calculate the slope of the parallel line
[tex]2x + 5y = 15[/tex]
Make y the subject
[tex]5y = 15 - 2x[/tex]
Divide through by 5
[tex]y = 3 - \frac{2}{5}x[/tex]
[tex]y =- \frac{2}{5}x+3[/tex]
An equation in slope intercept has the form:
[tex]y = mx + b[/tex]
Where:
m = slope
[tex]y = mx + b[/tex]
So:
[tex]m = -\frac{2}{5}[/tex]
The required is parallel to [tex]2x + 5y = 15[/tex].
This mean, the same slope
The equation is the calculated using:
[tex]y - y_1 = m(x - x_2)[/tex]
This gives:
[tex]y - (-1) = -\frac{2}{5}(x - 2)[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{2}{5}*2[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{4}{5}[/tex]
[tex]y = -\frac{2}{5}x +\frac{4}{5}-1[/tex]
Take LCM
[tex]y = -\frac{2}{5}x +\frac{4-5}{5}[/tex]
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
i.e.
[tex]y = -2/3x -1/5[/tex]
Suppose you have a tablet with a capacity of gigabytes. For a plain text book, one byte typically corresponds to one character and an average page consists of 2000 characters. Assume all gigabytes are used for plain text books.
a. How many pages of text can the tablet hold?
b. How many 500 page books can the tablet hold?
Answer:
tablet can hold 500000 pages of text .
tablet can hold 1000 books of 500 pages
i will give a brainliest if your answer are correct
Answer:
huhh what this is question is too hard
5×(4+3×2)=5×(4+6)=5×10=50
then its answer C
2 and 1/4 - 3/4 ????
Answer:
1.5
Step-by-step explanation:
As part of a survey, 300 girls were asked to name their favorite sport. The results shows that 12 of
the girls named bowling as their favorite sport. What percentage of the girls in the survey named
bowling as their favorite sport?
A.) 0.04%
B.) 4%
C.) 12%
D.) 25%
Answer:
D
Step-by-step explanation:
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
I need help with #9 please
Answer:
some examples are 1, 2, 3, 4
Find the area of the figure shown below.
10 cm
5 cm
17 cm
Answer:
where is the figure?
Step-by-step explanation:
I can't see a figure
Answer:
10 cm thats answer? sorry im wrong
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
Carmen buys 4 daisies and some roses to make a flower arrangement. The number of daisies is 1/3 of the number of roses that she buys. How many roses does she buy?
Answer:
12
Step-by-step explanation:
[tex]4 / 1/3=4*3/1=4*3=12[/tex]
Polly has a full 5 kg sack of rice. She pours the rice from this sack into bags. She fills as many bags as possible. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
Answer:
Polly used 15 bags to fill this sack of rice.
Step-by-step explanation:
Each kilogram has 1000 grams.
Polly has a full 5 kg sack of rice. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
We solve this by rule of three, using proportions.
Each bag has 350g of rice. In all, x bags will have 5kg = 5*1000 = 5000g of rice. So
1 bag - 350g
x bags - 5000g
Applying cross multiplication
[tex]350x = 5000[/tex]
[tex]x = \frac{5000}{350}[/tex]
[tex]x = 14.3[/tex]
Since a decimal part of a bag is not possible, Polly used 15 bags to fill this sack of rice. 14 complete, and the last bag the remaining part.
You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
29, 58,116, Find the 7th term.
9514 1404 393
Answer:
1856
Step-by-step explanation:
The numbers given do not have a common difference, but they do have a common ratio:
58/29 = 116/58 = 2
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1×r^(n-1)
For this sequence, a1=29 and r=2, so the general term is ...
an = 29×2^(n-1)
Then the 7th term is ...
a7 = 29×2^(7-1) = 29×64 = 1856
The 7th term is 1856.
_____
If you prefer, you can double each term until you have 7 of them.
29, 58, 116, 232, 464, 928, 1856, ...
3 is less than w, and 8 is greater than w
Answer:
Whats the question?
Step-by-step explanation:
Srry i couldnt help
Answer: 3 < w < 8
Step-by-step explanation:
If 3 is less than w you would write that as 3 < w.
Now you have 8, which is greater than w and that is written as 8 > w or w < 8.
Therefore, 3 < w < 8
Find the area of this triangle
A. 48cm
B. 28cm
C. 14cm
D. 36cm
I gave you Brainlist
Answer:
28
Step-by-step explanation:
multiply the hieght by the base you will get 56 then divide it by 2
1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
1 ÷ 8, or 1/8, is 0.125
Answer:
both
Step-by-step explanation:
Answer:
true! :)
Step-by-step explanation:
Simplify completely'''
Answer:
[tex]\displaystyle \frac{x + 2}{x - 1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 2}{x - 1}[/tex]can u pls help me on the question pls bc im having trouble with the question
Answer:
its -3 or |3|
Step-by-step explanation:
jrjfjfjfjfjfjfjfjfjf
Answer: The answer is B. -3.
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?
Answer:
16
every time you go up 10% there will be 2 added
2*8=16
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
10% of a number is 2 less than 20% of the same number,
10% .x=20%x-2
Convert % to the decimal by diving with 100.
10/100x=20/100x-2
0.1x=0.2x-2
Subtract 0.1x on both sides
0=0.2x-0.1x-2
Add 2 on both sides
2=0.2x-0.1x
2=0.1x
Divide both sides by 0.1
20=x
Now we need to find 80% of 20.
80% of 20
80/100×20
0.8×20
16
Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
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IF A CUBE HAS VOLUME OF 1,331 MM, WHAT IS THE AREA OF THE BASE OF IT IN SQUARE MILLIMETERS
Ethan tired to write an equation of the linear table but made a mistake. Need help it’s due today!?!?
Given:
The table for a linear function.
To find:
The equation of the linear function.
Solution:
If a linear function passes through two points, then the equation of linear function is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is
[tex]y-(-2)=\dfrac{0-(-2)}{4-2}(x-2)[/tex]
[tex]y+2=\dfrac{2}{2}(x-2)[/tex]
[tex]y+2=x-2[/tex]
Subtracting 2 from both sides.
[tex]y+2-2=x-2-2[/tex]
[tex]y=x-4[/tex]
So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.
Therefore, the required linear equation is [tex]y=x-4[/tex].
The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter, lost another 105 yards in the third quarter, and gained 12 yards in the final quarter. Did they have a net gain of loss during the game. How many yards.
Please do this question, did they have a net gain of loss during the game. IT IS DUE. I will give brainlest and extra points please
Answer:
they lost 144 yards -144
Step-by-step explanation:
The person has lost 144 yards.
What is subtraction?An arithmetic intelligence operation minus simulates the process of deleting items from either a collection. To subtract is to take something or something from a particular group. The group's total number of items decreases and became lower when people eliminate it. The components of a subtraction issue are the issues dealing with, forces at play, and differences.
The information that is given:
The football squad of the Saddleback Seahawks acquired 37 yards inside the opening period of the game,
dropped 88 yards in the second period,
recovered 105 yards throughout the third period,
Regained 12 yards in the fourth.
Total that is gained is = 37 + 12 = 49
Total that is lost = 88 + 105
Total amount of yard changes = 49 + 193
= -144 yards.
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Glenis had $5.25 and Samuel had $8.95. How much money did they have
altogether? Find an exact answerand .
A city has a 5% sales tax.
Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes or No
Answer:
Yes,
There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship between the cost of items
before tax and the cost of items after tax?
Proof -
Yes, cost of items before tax is directly proportional to cost of items after tax.
Reason -
With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.
Find the greatest common factor of the
following monomials:
25x5 20x6
Answer:
1
Step-by-step explanation:
I need help fast and i really don’t understand this at all
Roshanna Lincoln's landscaping company ships its packages through Fleet Quick Delivery. Fleet charges $4 plus $0.60 per pound to ship each package. If the charge for shipping a package to Nevada was $15.40, how much did the package weigh math
Answer:
The package weighs 21.6 pounds
Step-by-step explanation:
$4 dollars + T(0.60 tax per pound) divided by 15.40( the full cost of the shipment)
15.40 divided by 0.60 = 25.6
25.6 - 4 = 21.6
-------------------------------
Answer: 21.6 Pounds
-------------------------------
I hope I helped :)
Would appreciate Brainliest ;)
A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53
Answer:
53
Step-by-step explanation:
