two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram
Answers
Let, the first angles be 5x
And, the second angles will be 2x
As we know that,
★ Sum of all angles = 180° ★
According to the question by using the formula we get,
⇒ 5x+2x=180°⇒7x=180°⇒ \(\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}\)➠ \(\sf\bold{\red{x =\: 25.7^{\circ}}}\)Hence, the required angles are,
First angles = 5x = 5(25.7°) = 128.5°Second angles = 2(25.7°) = 51.4°As we know that,
opposite angles in a parallelogram
is equal.
∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.
Related Questions
This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games:
3n+7/n
What is the average cost per game if James bowls 4 games?
Answers
Answer:
13.75 dollars
Step-by-step explanation:
n=4
3n+7/n =3(4) + 7/4
=12 + 1.75
=$13.75
Answer: A) 4.75
Step-by-step explanation:
Find the greatest common factor of 7, 14, and 42.
Answers
Answer:
7
Step-by-step explanation:
transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
Answers
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).
Please find the area of the figure.
Could someone explain how to count the little bits?
Answers
Answer:
√250 + 2 = 5√10 + 2
Step-by-step explanation:
1. refer to image attached
2. split the area into a rectangle and triangle (see red line)
3. find the area of the triangle
a. find the base (2)
b. find the height (2)
area = base * height / 2 = 2 * 2 / 2 = 2
4. find the area of the rectangle
a. find the width
the width can be found from the right triangle at the top right. the height is 2 and the bottom leg is 1, so using the pythagorean theorem, the hypotenuse, which is the width of the triangle, equals
√(2²+1²) = √5 as our width
b. find the length
given the top right triangle, we have a height of 5 and another leg length of 5, so the length = √(5²+5²) = √50
the area of the rectangle is thus √50 * √5 = √250
4. the area is thus the two areas added up, or √250 + 2
Please help me out‼️‼️‼️‼️〽️
Answers
We can see that the dot plot is seen below.
What is a dot plot?We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.
Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.
Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.
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An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is?
Answers
The sum of expected marks is given as follows:
9375.
How to obtain the expected marks?Each question has four choices, hence the probability of choosing the correct choice is given as follows:
p = 1/4 = 0.25.
Then the expected number of correct answers is given as follows:
E(X) = 0.25 x 150
E(X) = 37.5.
Then the expected grade for a single student is given as follows:
37.5 - 0.25(150 - 37.5) = 9.375.
The expected sum for the 1000 students is then given as follows:
1000 x 9.375 = 9375.
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(Retirement Savings Plans MC)
An employee is considering two job offers.
First offer: $57,000 yearly salary with an 8% matching 401k
Second-offer: $63,000 yearly salary with a 4% matching 401k
The employee plans to stay at either job for at least 4 years, assumes there are no salary increases, and will make 401k
contributions at the same rate the company matches. After 4 years, the total value of the first offer, including gross income and tot
401k contributions, is $264,480.
Which job has the better overay structure, and by how much?
The second job offer
y $6,780.
O The first job offer is better by $6,780.
O The second job offer is better by $7,680.
O The first job offer is better by $7,680.
Answers
The first job offer has a better overall structure, by $7,680.
Here's the calculation:
First job offer:
Annual salary: $57,000
401k contribution: 8%
401k contribution per year: $57,000 * 0.08 = $4,560
Total value of the offer after 4 years: $57,000 * 4 + $4,560 * 4 = $264,480
Second job offer:
Annual salary: $63,000
401k contribution: 4%
401k contribution per year: $63,000 * 0.04 = $2,520
Total value of the offer after 4 years: $63,000 * 4 + $2,520 * 4 = $256,960
The difference between the two offers is $264,480 - $256,960 = $7,680.
Therefore, the first job offer has a better overall structure, by $7,680. (Last one)
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function. (1 point)
A.The domain is all integers from 0 to 6 hours.
B. The domain is all even integers from 0 to 6 hours.
C. The domain is all real numbers from 0 to 6 hours.
D. The domain is all positive real numbers.
Answers
Answer:
C.
Step-by-step explanation: the domain is all even integers from 0 to 6 hours
What is -7.9? I really need help ASAP
Answers
Answer:
Negative 7.9
Step-by-step explanation:
-7.9 is just negative 7.9.
Do you need this as fraction? If you do, I can help ^^
can you help me understand the process for this question?
Answers
We are given the following series:
\(\sum ^9_{k\mathop=0}\sin (\pi k)\)this means:
\(\sin (\pi\times0)+\sin (\pi\times1)+\sin (\pi\times2)+\sin (\pi\times3)+\cdots+\sin (\pi\times9)\)since the since of any multiple of pi is zero, this means that all these terms are zero, therefore, their sum is zero, this means:
\(\sin (\pi k)=0\text{ for every k}\)therefore:
\(\sum ^9_{k\mathop=0}\sin (\pi k)=0\)A recipe of chocolate chip cookies need 28 oz of oil for every 44 cups of flower. Approximately how many ounces of oil do you need for 89 cups of flower?
Type your answer to the nearest whole ounce
Answers
Answer:
57 ounces
Step-by-step explanation:
He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.
My new dog! Wanted to show him off cause he’s adorable
Answers
Answer: So Cute!
Step-by-step explanation:
Answer:
Yes. I also think he is adorable.
Which expression is equivalent to-10w - 15.5? A. -5(2w-15.5) B. -5(2w+3.1) C. -5(5w-15.5) D. -5(5w+10.5).
Answers
Answer:
D
Step-by-step explanation:
The required expression that is equivalent to the given expression is -5(w+3.1) . Option D is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression,
= -10w - 15.5
taking 5 commons from both the terms,
= -5(2w + 3.1)
Thus, the required expression that is equivalent to the given expression is -5(w+3.1) . Option D is correct.
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need help!!!!! quick
Answers
Answer:
B. 4 squared
Step-by-step explanation:
You have to use PEMDAS. The first one is P for parenthesis, that is the first operation you have to do.
P- parenthesis
E- exponents
M/D- multiplication/division (these are on the same level, and you do them from left to right)
A/S- addition/subtraction (these are on the same level, and you do them from left to right)
So, looking at the equation, you first want to look for parenthesis. If there are no parenthesis present, you move on to exponents.
If there are parenthesis, which in this equation there is, you do whatever is in the parenthesis, using PEMDAS. So, using PEMDAS, we see that inside the parenthesis is an exponent. So, you would do the exponent.
Thus, your answer would be B, 4^2
Hope this helps :)
In △EFG
, m∠E=(8x+5)°
, m∠F=(x−11)°
, and m∠G=(2x−1)°
. What is m∠E
to the nearest degree?
Answers
Answer: 141 °
Step-by-step explanation:
we know sum of angles of a triangle is always 180°.(Angle sum property)
then,
∠E+∠F+∠G=180°
8x+5+2x-1+x-11=180°
11x-7=180C
x=187/11
x=17°
m∠E=8x+15=8*17+5=141°
Multiply (x + 1)
x2+1
x2+x+2
x2+x+1
x2+2x+1
Answers
Answer:
x
3
−
1
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
Jill mixes two types of concentrations of HCI (hydrochloric acid): 0.375 liters of 25% hydrochloric acid, and 0.625 liters of 65% hydrochloric acid. What is the HCI concentration of the mixed solution? O 56% O 40% O 50% O 446
Answers
Given:
Jill mixes two types of concentrations of HCI (hydrochloric acid):
a.) 0.375 liters of 25% hydrochloric acid and 0.625 liters of 65% hydrochloric acid.
To be able to find the final HCL concentration, we will be generating the following formula:
\(\text{ Original + Added = Result}\)\((0.375)(\frac{25}{100})\text{ + (0.625)(}\frac{65}{100})\text{ = (x)}(0.375\text{ + 0.625)}\)Where,
x = the final concentration of HCL
Let's find x,
\((0.375)(\frac{25}{100})\text{ + (0.625)(}\frac{65}{100})\text{ = (x)}(0.375\text{ + 0.625)}\)\((0.375)(0.25)\text{ + (0.625)(0.65) = (x)(}1)\)\(0.09375\text{ + 0.40625 = x}\)\(0.5\text{ = x }\rightarrow\text{ x = 0.5}\)\(\text{ x = 0.5 x 100 = 50\%}\)Therefore, the final concentration of the mixed solution is 50%.
A shark swims 140 meters in 15.5 seconds what is the sharks average swimming rate in meters per second
Answers
140/15.5 = around 9.03
Average swimming rate: 9.03 meters per second
Please help me out with this assignment..
Answers
Answer:
(a) 3, (b) 96, (c) No
Step-by-step explanation:
(a) Since we have \(p = 150 - 6q^2\) and \(p = 10q^2 + 2q\), we can set up a quadratic equation by \(150 - 6q^2 = 10q^2 + 2q\), moving all values to one side.
The equation is: \(16q^2 + 2q - 150 = 0\).
Let's use the quadratic formula to find q,
we obtain that \(q = 3\) or \(q = -3.125\)
We can ignore \(-3.125\) because supplying a negative quantity is impossible.
Hence, the answer of (a) is 3
(b) Simply substitute \(q = 3\) into either equations given in the question to find p, and the answer of (b) is 96.
(c) We want to find if there is an exact quantity that makes the TR exactly 1500.
We substitute TR = 1500,
\(1500 = 85q - 2q^2\)
Use the quadratic formula again, and we will find that the answer is "undefined".
As a result, there is not output level in which the total revenue is exactly 1500.
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow
Answers
The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
It is given that:
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow
From the data given in the question.
Red : 6
Blue: 4
Green: 8
Yellow : 1 (half of 2)
Pink: 1 (half of 2)
Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
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alex has a box of 250 nails. he uses 80 nails. then he loses 35 nails. how many nails does alex have left? what is the hidden question
Answers
What is the next number in the pattern 2 5 11 23
Answers
Answer:
47
Step-by-step explanation:
Which statements are logically equivalent to (p V q)?
Answers
The statement that is logically equivalent to (⌝P∨Q) is (P→Q).
How are they equivalent?Two expressions are logically equivalent when they have the same truth value for all possible combinations of truth values for all variables appearing in the two expressions.
In this case, we write X=Y and say that X and Y are logically equivalent. In this case, the statement that is logically equivalent to (⌝P∨Q) is (P→Q).
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Sketch the vectors u and w with angle θ between them and sketch the resultant.|u|=5, |w|=5, θ=45°
Answers
We are asked to draw a sketch of vectors "u" and "w". We have that the magnitudes of the vectors are:
\(\begin{gathered} \lvert{u}\rvert=5 \\ \lvert{w}\rvert=5 \end{gathered}\)The angle between the vectors is:
\(\theta=45°\)A vector is represented by an arrow whose length is the magnitude of the vector. Therefore, we need to draw two arrows with a length of 5 units and an angle between them of 45 degrees. Like this:
To determine the resultant vector we need to draw a parallel line to vector "u" from the tip of vector "w" and a parallel line to vector "w" from the tip of vector "u", like this:
Now, the resultant vector is the segment that begins from the tail of the vectors to the point where the new lines intercept, like this:
And thus we get the resultant vector.
Find the real solutions to the quadratic equation. (Enter your answers as a comma-separated list.) 3x2 + 16x = 8x
Answers
Real solutions to the quadratic equation that is 3x2 + 16x = 8x are : x = 0 and x = -8.
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
where a, b, and c are numerical coefficients and x is an unknown variable. For instance, the equation \(x^{2}\) + 2x + 1 is quadratic or quadratic.
To find the equation's roots, use the quadratic equation formula. There will be two solutions to the problem because quadratics have a degree of two. If a\(x^{2}\) + bx + c = 0 is the quadratic equation, then the formula to determine its roots is:
x = [-b±√(\(b^{2}\)-4ac)]/2a
The plus/minus symbol indicates that there are two possible solutions for x.
Given Quadratic Equation is 3\(x^{2}\) + 16x = 8x
∴ 3\(x^{2}\) + 16x - 8x = 0
3\(x^{2}\) + 8x = 0.
3x ( x+8 ) = 0.
∴ x = 0 and x = -8.
So therefore the solution of given equation is x = 0 and x = -8
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Help please:)
Graph the equation by plotting points.
X=4
Answers
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
Stations 1, 2, and 3 are bus stations. The equation y = 160x represents the number of people that go to Station 1, where y is the total number of people and x is the number of hours since opening. The table shows the same relationship for Station 2, and the graph shows the relationship for Station 3.
Answers
Answer:
station three for part a and 2,064 for part b
Step-by-step explanation:
i got the answer correct
A thief steals an ATM card and must randomly guess the correct five-digit pin code from a 7-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?
Answers
Answer:
1/(7^5)=1/16807
Step-by-step explanation:
Assuming 7-key mean zero up to 7,
# of possible codes = 17^5 = 16807
=====
Probability of first try correct = 1/7^5
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
8q^3+ 69
Answers
Answer:
2q(4q²+3)
Step-by-step explanation:
the greatest common factor is 2q, so you just use distributive property to get the following:
2q(4q²+3)
Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?
Answers
Answer:
12 miles
Step-by-step explanation:
sometimes looking at the units is helpful.
How far Tristan will walk is measured in miles.
3 miles/hour * 4 hours has a unit of miles * hour/hour = miles
3*4 = 12
Answer:
12 Miles
Step-by-step explanation:
Multiply 3 by 4