Answer:
x=45
Step-by-step explanation:
We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.
Answer:
y = 18
x = 46
measures of the angles:
8y - 102 = 42
2y + 6 = 42
3x = 138
Step-by-step explanation:
So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is, they will have the same measure.
Using this we know that opposite angles have to be congruent:
so
(2y + 6) = (8y -102)
now there is an algebra equation that can be solved by inverse operations and simplifying
2y + 6 = 8y - 102
+102 +102
2y + 108 = 8y
-2y -2y
108 = 6y
/6 /6
18 = y
Also, remember that two adjacent angles that form a line will add up to 180,
so
3x + (2y + 6) = 180
*note: I could have also used (8y - 102) but I choose to use (2y + 6)
so now substitute in the value of y that was found
y = 18
3x + (2 * 18 + 6) = 180
simplify
3x + ( 36 + 6) = 180
3x + 42 = 180
now use inverse operations
3x + 42 = 180
-42 -42
3x = 138
/3 /3
x = 46
Find the arc length
Answer:
5π
Step-by-step explanation:
Arc length = 1/4 * circumference
Circumference = 2*pi*r = 2*pi*10 = 20pi
Arc length = 1/4 * 20pi = 5pi
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
-10m + 200 = 60
50m +200 = 60
-10m + 140 = 60
-50m +140=60
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
A pack of gum costs $2.95. If it holds 12 sticks of gum, about how much would one individual stick of gum cost?
A $0.05
$4.00
$0.40
D $0.25
E $3.60
Answer:
$0. 25
Step-by-step explanation:
2. 95 ÷ 12 = 0.24583333
Round the number and you would get
0. 25
Answer:
D. $0.25
Step-by-step explanation:
the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)
which of these is correct? will give brainliest C:
Answer:
$7.50/lb answer A is correct
Step-by-step explanation:
Find the unit cost: $ per pound:
Calculate
$3.00
--------------------
(2/5) lb
It's slightly easier to calculate the equivalent
$3.00
------------- = $7.50/lb answer A is correct
0.4 lb
Answer: D. $1.20 per pound
Step-by-step explanation:
Because 2/5= 0.4 in a decimal form.
If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).
1.20= 1.2
Need help filling out the chart for #3
Answer:
Slope intercept equation= y2-y1 over x2-x1
When to use= You know the slope and any point
3x + 9 = 2x + 5
One Solution
No Solution
All real numbers
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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Please answer this question
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant
Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?
converse of the corresponding angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
converse of the alternate exterior angles theorem
Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Hence, this is the required solution.
I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best
Answer:
The answer is B.200
Step-by-step explanation:
145.93×1.37=199.9
We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200
Hope it helps :)
Suppose the parallelogram JKLM has vertices:
J (2, 1)
K (7, 1)
L (6, −3)
M (1, −3)
Write each transformation in function notation and find the new coordinates of each point.
1. J' if the parallelogram is rotated counterclockwise 270° about the origin?
2. K' if the parallelogram is rotated counterclockwise 180° about the origin?
3. L' if the parallelogram is rotated counterclockwise 90° about the origin?
4. M' if the parallelogram is rotated counterclockwise 90° about the origin?
I NEED HELP
Answer:
1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)
2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)
3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)
4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)
Step-by-step explanation:
The coordinates of the vertices of the parallelogram are given as follows;
J(2, 1), K(7, 1), L(6, -3), M(1, -3)
1. We have, for a rotation of 270° counterclockwise about the origin we have
f(x, y) = (y, -x)
Therefore, we have for the vertices;
f(J(2, 1)) = J'(1, -2)
Therefore, we have the coordinates of J' as (1, -2);
2. We have, for a rotation of 180° counterclockwise about the origin we have
f(x, y) = (-x, -y)
Therefore, we have for the vertex point K;
f(K(7, 1)) = K'(-7, -1)
3. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point L;
f(L(6, -3)) = L'(3, 6)
4. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point M;
f(M(1, -3)) = M'(3, 1)
True or False: These two equations are equivalent
5x + 18 = 32
18 = 80
Which inequalities are true? Select the four correct answers
Will mark Brainiest
Answer:
see below
Step-by-step explanation:
1. 0 < √8 = true
2. √8 < 3 = true
3. √8 > √7 = true
4. √8 < 2 = false
5. √8 > 8 = false
6. 1 < √8 = true
Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,
0 < √8√8 < 3√8 > √71 < √8Hence, the inequalities that are true are 1, 2, 3 and 6.
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Plz help!!! Will mark brainliest!!!!!!
true or false: an cubic function may have 3 irrational zeros
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
0.6×100 is equal to
Answer:
60
Step-by-step explanation:
.6 x 100 = 60
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Answer:
3x+1
Step-by-step explanation:
(2x+x+3+6x)/3
9x+3/3
3x+1
The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.
This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.
Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.
In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.
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-6=2/3x What does x equal
Answer:
x = -9 :)
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the equation
brainliest pls if correcto
What else would need to be congruent to show that ABC is congruent to DEF by ASA?
Answer:
D
Step-by-step explanation:
Angle Side Angle
What is the value of 120?
A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400
Answer:
D. 6,400
Step-by-step explanation:
I got it right
The fish population at the beginning of 2012 is 100.
GivenA fish population, p, can be represented by the equation;
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]
Where t is time in years since the beginning of 2015.
How to determine the population at the beginning of 2012?The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.
The difference between year 2015 and 2012 is;
t = 2015 - 2012 = 3
Substitute the value of t in the equation
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]
Hence, the fish population at the beginning of 2012 is 100.
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Give another name for line JK.
Answer:
indecsaty
Step-by-step explanation:
the indecsaty of the line more known as a slope is the other name
Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny
the correct answer is c. hope this helped
Which values are outliers?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
0.8 Outlier
1.1 Outlier
10.2 Not Outlier
10.9 Not Outlier
ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70
Find the GCF(Greatest Common Factor) of 42 and 70: 14
Divide numerator and denominator by the GCF.
42 ÷ 14 = 3
70 ÷ 14 = 5
3/5
Answer:
3/5
Step-by-step explanation:
Think of the GCF of 42 and 70
which is 14 divide by 14 which you will get 3/5
(Alternate method)
If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc
until you get to a answer that can't be divided anymore
Hope this helps!
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10
Answer:
9
Step-by-step explanation:
How can you tell when to use a discrete graph as opposed to using a continuous graph? Give an example of each.
Answer:
Continuous graphs have all real numbers
Discrete graphs have whole numbers
Step-by-step explanation:
Helppppp Meeeeee !!!!!!!!!
Answer:
a) draw the triangle using the graph points
b) move the triangle 3 points to the left and 1 point down
c) translation
d) draw this shape
e) write down the coordinates
Step-by-step explanation:
The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.