Note that the measurements of (angles) ∠1, ∠2, and ∠3 are:
107°73°; and 107° respectively.The above is resolved using Angle relationships with parallel lines, specifically, co-interior angles.
What are co-interior angles?Note that co-interior angles are always supplementary and add together to make 180°.
Note that in the case above, 73° and ∠3 are supplementary and therefore co-interior.
This means that:
73 + ∠3 = 180
∠3 = 180 -73
∠3 = 107
Note that the above logic also applies to: ∠1
∠1 = 180 - 73
∠1 = 107°
Since ∠1 and ∠2 are also co-interior angles:
∠2 = 180 - 107
thus,
∠2 = 73°
Thus, it is corect to state that the measurements of (angles) ∠1, ∠2, and ∠3 are:
107°correct73°; and 107° respectively.Learn more about co-interior angles:
https://brainly.com/question/17147541
#SPJ1
HELP!!! Will mark brainliest
Answer:
the factor is 3/1
Step-by-step explanation:
2.5 goes into 7 3 times.
duh lol
Write the equation of the line in standard form that: has slope m = -3 and passes through the point (3,-2).
Answer:
y = -3x + 7
Step-by-step explanation:
Are the given lines parallel? Explain your reasoning.
3. y = 2, y = -4
How do you write 0.166666 as a fraction
Answer:
16/1000000
Step-by-step explanation:
Right triangle JKL is inscribed in circle N. Find the area of the shaded region.
Round your answer to the nearest tenth if necessary.
K
N
40
9
ou
Answer:
units^2
Can anyone help please
Submit Answer
Answer:
1272.2 units²
Step-by-step explanation:
This problem requires several steps.
1. The shaded area is the area of the circle minus the area of the triangle.
2. The area of the circle can be found using the radius. We are not given the radius, but using the right triangle, we can fond the diameter. Then the radius is half of the diameter.
3. The area of the triangle is base × height / 2. The base and the height are the given lengths of the legs.
Let's use the Pythagorean theorem with the triangle to find the diameter. The diameter is the hypotenuse of the right triangle.
a² + b² = c²
40² + 9² = c²
1600 + 81 = c²
c² = 1681
c = √1681
c = 41
The diameter of the circle is 41.
radius = diameter/2 = 41/2 = 21.5
The radius of the circle is 21.5
shaded area = area of circle - area of triangle
area of circle = πr²
area of triangle = bh/2
shaded area = πr² - bh/2
shaded area = (3.14159)(21.5)² - (40)(9)/2
shaded area = 1452.2 - 180
shaded area = 1272.2 units²
18 What is the solution to the system of equations x - y = -1 and x-3y = - 13?
A. (5, 6)
B.
(6,5)
C. (7,8)
D.
(8,7)
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
Learn more about the mean at https://brainly.com/question/1136789.
#SPJ1
The function f(x) = 2x^3 + 3x^2 is:
(a) even
(b) odd
(c) neither
(d) even and odd
Answer:
neither
Step-by-step explanation:
First we must determine if both x and -x are in the domain of the function
since it is a polynomial function our first condition is satisfied
Then we should calculate the image of -x :
2x(-x)^3 + 3*(-x)² = -2x^3+3x²
it is not equal to f(x) nor -f(x)
The soccer team and the football team are sharing the fields for their practises today. the soccer team needs to practice every 3 days, and the football team needs to practice every 5 days. if today's day is September 12 what is the next day the two teams are shared the share the same field
Using LCM, we calculated that the two teams will share the same field on 27 September.
What is LCM?The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
The LCM of 5 and 3 is 5×3
= 15
So the two teams will share the same field after 15 days.
So, the both teams will share the same on 27 September.
To learn more about LCM from given link
https://brainly.com/question/233244
#SPJ9
1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
9/50 percents and decimals
Answer:
18% and 0.18
Step-by-step explanation:
converting fraction 9/50 as a percent leaves u with 18%
Solve using elimination
3x+2y=10
4x-2y=4
Answer:
x=2, y=2
Step-by-step explanation:
Put them on top of each other:
3x+2y=10
4x-2y=4
You add them together and then y cancels out, you now have 7x=14, divide by 7 on each sides and then you get x=2.
Substitute x in an equation and then solve. You get y=2
Answer:
\(x=2, y=2\)
(2,2)
Step-by-step explanation: Elimination just means canceling out a variable to solve for the value of the other. This equation has been set up easily to do so. All you need to do is combine both equations to get rid of the y-term.
\(3x+2y=10\\4x-2y=4\\7x=14\)
which means
\(x=2\)
plug it back in to get the y-value
\(3(2)+2y=10\\6+2y=10\\2y=4\\y=2\)
And there you go. Please mark brainliest.
FIND THE PRODUCTS OR QUOTIENYS IN THE EXPONENTIAL FORMS BY USING LAWS OF INDICES.
Answer:
(5x)^-5.
Step-by-step explanation:
(5x)^3 * (25x^2)^2 * (5x)^-12
= (5x)^3 * (5x)^4 + (5x)^-12
= (5x)^(3+4-12)
= (5x)^-5.
let me know if you can see the expression if not I will just type it.
Answer:
-15x+24
Step-by-step explanation:
You can write that as:
\((-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24\)
Brian and sold 72 classes with apple juice for a school party if each class hold 1 cup of work if juice how much money quarts of apple juice did Brian use
Answer: 18 quarts
Step-by-step explanation: If there are 72 cups of apple juice, there are 18 quarts.
4 cups = 1 quart
72 cups / 4 = 18
18 quarts
What is the area of this figure
Answer:
45 i believe
Step-by-step explanation:
Answer:
45cm2
Step-by-step explanation:
5x5 is 25, to find the triangle its base times height /2 so, 5x4 is 20 but since theres 2 of them then u just keep it.
Tyler is simplifying the expression 6 - 2x + 5 + 4x. Here is his work:
6 - 2x + 5 + 4x
(6 - 2)x + (5 + 4)x
4x + 9x
13x
Tyler’s work is incorrect. Explain the error he made.
Answer: 13x
Step-by-step explanation:
He multiply 13 by both side which caused a error
Answer:
You have to combine like terms. The 6 and the 5 go together to make 11. The -2x and the 4x go together to make 2x
The simplified answer should be 2x+11
Step-by-step explanation:
type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar (s). 7/94. The expression above can also be written in the form c√ab?
The above question was not written properly
Complete Question
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar (s).
\(7\frac{9}{4}\)
The expression above can also be written in the form \(\sqrt[c]{a^{b}}\)
For this expression, a = , b = , and c =
Answer:
\(\sqrt[4]{7^{9}}\)
Where
a = 7 , b = 9 and c = 4
Step-by-step explanation:
From the above question we are given the fraction \(7\frac{9}{4}\) and asked to write it in this form \(\sqrt[c]{a^{b}}\) .
In Mathematics when we have a mixed fraction \(a\frac{b}{c}\) , it is always written in the root from as \(\sqrt[c]{a^{b}}\)
Applying this to the above question,
\(7\frac{9}{4}\) = \(\sqrt[4]{7^{9}}\)
Where
a = 7 , b = 9 and c = 4
what number is 100 more than 152
Answer:
252
Step-by-step explanation:
252-
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything
don't give up bby i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
what is this 16/6.72 thank you
If x = 3 units, y = 6 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
A.
63 square units
B.
84 square units
C.
21 square units
D.
42 square units
Answer:
A
Step-by-step explanation:
Answer:
A. 63 square units
Step-by-step explanation:
The person's answer above is correct. I have drawn a photo for reference!
Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%.
Answer: 0.02655
Step-by-step explanation:
Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.
10x^2 − 6x. divided by 2x
Answer: 5x - 3
Step-by-step explanation:
10x² - 6x = 2x(5x - 3)
2x(5x-3)/2x = 5x - 3
Cheers
What is the mathematical model of different dimensions but same volume?
Prism is the mathematical model with different dimensions but same volume.
As given in the question,
Mathematical model represent different dimensions but same volume.
Prism is the mathematical model with different dimensions but same volume.
To prove it consider two different dimensions of prism.
Prism 1
length = 4cm
Width = 4cm
Height = 4cm
Surface area of the prism1 = 2( 4×4 + 4×4 +4×4)
= 2(48)
= 96cm²
Volume of prism1 = 4×4×4
= 64cm³
Prism 2
length = 8cm
Width = 2cm
Height = 4cm
Surface area of the prism1 = 2( 8×2 + 2×4 +4×8)
= 2(56)
= 112cm²
Volume of prism1 = 8×2×4
= 64cm³
Therefore, prism is the mathematical model with different dimensions but same volume.
Learn more about mathematical model here
brainly.com/question/10952874
#SPJ1
How do you do this i cant remember i fell asleep in class
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
Find out more on cost at https://brainly.com/question/30418658
#SPJ1
A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.
Answer:
If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.
The two rates would be 3:60 and 2:40 and so on 1:20
Step-by-step explanation:
Good luck! Hope this helps! <3
Sadie baked her award-winning blueberry pie. After she sampled a small piece, 7/8 of the pie remained. Her family ate an additional 3/4 of the pie after dinner. What fraction of the pie is left?
Answer:
The answer is 1/8
Step-by-step explanation:
7/8 - 3/4 = 0.125
0.125 converted to a fraction is 1/8
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
A large consumer goods company ran a television advertisement for one of its soap productions. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement B ∩ S = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P (B) = 0.20, P (S) = 0.40, P (B ∩ S) = 0.12. What is the probability that an individual purchased or recalls seeing the advertisement.
Answer:
\(P(B\ u\ S) = 0.48\)
Step-by-step explanation:
Given
\(P(S) = 0.40\)
\(P(B) = 0.20\)
\(P(B\ n\ S) = 0.12\)
Required
Determine \(P(B\ u\ S)\)
In probability, the relationship between the given parameters and the required is:
\(P(B\ u\ S) = P(S) + P(B) - P(B\ n\ S)\)
Substitute values for P(S), P(B) and P(B n S)
\(P(B\ u\ S) = 0.40 + 0.20 - 0.12\)
\(P(B\ u\ S) = 0.48\)
Hence;
The probability that of purchasing or recalling is 0.48