Answer:
Examples to disprove them are as follows;
1) Angles of two different inscribed regular polygon in contact at their vertices
2) Angles on the opposite corners of a regular even sided polygon
Step-by-step explanation:
The statement to be disproved can be presented as follows;
1) ∠A and ∠B share a common vertex
2) The bisectors of ∠A and ∠B create one line then
∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B
Given that ∠A = Interior angle of a inscribed square = 90°
∠B = Interior angle of an inscribed equilateral triangle = 60°
Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B
However, ∠A ≠ ∠B hence the two angles are not vertical QED
(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B are not vertical.
I need help idk if it’s right
Answer:
A, f(x)=x-4
Step-by-step explanation:
f(x) is basically just another way to write y.
So we have the slope is 1, and the y intercept is -4, thus the equation is f(x)=x-4
Find the surface area and volume of a cube with sides that are 6 inches.
Answer:
Step-by-step explanation:
Surface Area S=6s²
S=6(36)
S=216 in²
Volume V=s³
V=6³
V=216 in³
Plz I need help with this
Simplify 12c+14b+3c-22
Answer:
15c +14b -22
Step-by-step explanation:
12c+14b+3c-22
Combine like terms
12c+3c+14b-22
15c +14b -22
Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a
Answer:
a = 20 because the rate of change is -3
Step-by-step explanation:
In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.
The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...
a = 20 because the rate of change is -3
The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?
Answer:
114
Step-by-step explanation:
Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20
Answer:
A.
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
Step-by-step explanation:
Hi, to answer this question we have to write a system of equation with the information given:
The price of each package will be equal to sum of the products of each vegetable (a,b or c) and their respective amount :
So:
2 tomatoes, 1 eggplant, 3 potatoes for $102a +1b+3c =10
3 tomatoes, 2 eggplants, 4 potatoes for $143a+2b+4c=14
4 tomatoes, 2 eggplants, 6 potatoes for $204a+2b+6c=20
The system is:
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
(option A)
Feel free to ask for more if needed or if you did not understand something.
Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph shows all the distances, in kilometers, that Yolanda could have walked on Sunday to reach her goal?
Answer:
B
Step-by-step explanation:
She needed to raise at least $250
$250 divided by $10 equals 25 km
So she need more than 25km to raise over $300
Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
A)3/4 divided by 13/2
B)13/2 divided by 3/4
C)3/4(13/2)
D)13/2(3/4)
E)13/2(4/3)
Answer:
B and E
Step-by-step explanation:
Answer:
B) 13/2 divided by 3/4 and E) 13/2(4/3)
Chantelle takes out a loan of $3,500 with an APR of 4.25%. She will repay the loan in monthly payments for 6 months. To find the total amount of interest she will pay, Chantelle uses an online calculator. What are the correct numbers she should enter?
Answer:
P = 3,500 r = 0.0425 n = 12 t = 0.5
Step-by-step explanation:
P is the principal amount, which in this case is $3,500, or the start amount.
r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.
n is the number of times the loan is repaid, or 12.
t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.
A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line? On a coordinate plane, a vertical line is at x = negative 2. On a coordinate plane, a horizontal line is at y = negative 2. On a coordinate plane, a vertical line is at x = negative 8. On a coordinate plane, a horizontal line is at y = negative 8.
Answer:
Its D
Step-by-step explanation:
just put the answear stop putting this bs
Answer:
The Correct answer you are looking for is (D) - On a coordinate plane, a horizontal line is at y = negative 8.
Step-by-step explanation:
Hope this helped all of you!
Answer is letter (D) the bottom graph.
A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?
Please show the work to answer compound interest work
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.
Here the data given are,
Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.Put these values in the above formula as,
[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]
Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
Learn more about the compound interest here;
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A. -3/2
B.2/3
C.-2/3
D.3/2
I need help pls
Answer:
The slope of the line is D. 3/2.
Step-by-step explanation:
Order 0.12, 0.1, 0.02, and 0.21 in order from least to greatest.
This is the answer
0.02
0.1
0.12
0.21
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...
a line passes through the point (2, -9) and has a slope of -6, what is the equation for this line?
Answer:
Step-by-step explanation:
y + 9 = -6(x - 2)
y + 9 = -6x + 12
y = -6x + 3
I need help please!!!!!!!
Answer:
m = 1 and c = 3
Step-by-step explanation:
y = mx + c
so comparing with y = x + 3
m = 1 ( since there isn't any co-efficient of x) and c = 3
Is (–5, 0) a solution to the equation y = 7x − 5?
Answer:
no
Step-by-step explanation:
to see, plug in -5 for x and find your y outcome.
y = 7(-5) -5
y = -35 - 5
y = -40
since y does not equal 0, (-5,0) is not a solution for the equation.
Answer:
no
Step-by-step explanation:
y = 7x − 5?
Substitute the point into the equation
0 = 7(-5) -5
0 = -35-5
0 = -40
This is not true so (-5,0) is not a solution
IO
80
14x + 2
The figure is a parallelogram.
Solve for x.
'S
2
7
Answer:
x = 7
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, thus
80 + 14x + 2 = 180
14x + 82 = 180 ( subtract 82 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
In the given parallelogram QRST, x = 7°.
What are adjacent angles?In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.
How do we solve the given question?In the question, we are shown a parallelogram QRST and are asked to find the value of x.
We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.
∠TQR = 80°, ∠QRS = (14x + 2)°
Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°
∴ ∠TQR + ∠QRS = 180°
or, 80° + (14x + 2)° = 180°
or, 14x = 180° - 80° -2° = 98°
or, x = 98°/14 = 7°
∴ In the given parallelogram QRST, x = 7°.
Learn more about Parallelograms at
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Anyone know the answer to this?
Answer:
3x-5+19-x+2x
5x-x=14
4x=14
Hope that helps
Which of the following phrases translates to 8 - m?
the difference between a number and eight
eight decreased by a number
eight subtracted from a number
a number minus eight
Answer: B) eight decreased by a number
Step-by-step explanation:
decreased = subtraction, therefore, eight decreased by a number is 8 - m.
A bacteria colony is quickly growing in a petri dish. The number of bacteria, y , is modeled by the function y=2(10)^2 where x is the number of days since the colony started. Baelsed on the equation how many more bacteria are there on day 4 than on day 2?
A. 19800
B. 9900
C. 159600
D. 40
Answer:
C = 159600
Step-by-step explanation:
Because its Y=2 (10) square so times by its self.
Solve for x pls hurry !
Answer:
x = 7
Step-by-step explanation:
7x + 68 = 2x + 103
5x = 35
x = 7
welp lol <3 find the value of x that makes j||k
Answer: C. 42
Step-by-step explanation:
(3x + 3) is the same angle as 129.
So, you have to equal them to each other.
3x + 3 = 129
Now you solve.
Subtract 3 from each sides.
3x = 126
Divide 3 from each side.
x=42
Answer:
x = 42°
Step-by-step explanation:
J//k if the the two corresponding angles are equal
which means 3x + 3 = 129
solving 3x + 3 = 129
3x = 129 - 3
3x = 126
then
x = 126/3
= 42°
Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.
How much longer is the diamter of Cell B than Cell A?
A. 1.6 x 10 ^-2
B. 1.6 x 10 ^-16
C. 4.14 x 10 ^-7
D. 4.14 x 10 ^-9
Answer:
The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A
Step-by-step explanation:
Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]
Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]
Now we are supposed to find How much longer is the diameter of Cell B than Cell A?
So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]
Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]
So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]
So, Option C is true
Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A
If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°
Answer:
B) 102°
Step-by-step explanation:
Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.
In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.
what is the difference for -22 - (-26)
______________________________
Hey!!!
-22-(-26)
= -22+26
= 4
So the answer is 4.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
____________________________
-22 - (-26) = -22+26=4
So the answer is 4
If this helped mark me as brainliest plss
Hope this helps! Good luck!!
please help!
Given:
AB = BC
ADB =
a. 30
b. 37.5
c. 60
The measure of the angle is ∠ADB=60
What is the angle sum property of a triangle?The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here: ∠A =∠B=60
By triangle sum property we must have ∠A +∠B+∠D=180
∠D=60
Thus the triangle must be an equilateral triangle with all its angles equal to 60
Hence, The measure of the angle is ∠ADB=60
Learn more about triangles here:
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(-4ab - 5a + 3) - (-7ab + 9)
________________________________
Hey!!!
solution,
(-4ab - 5a +3)-(-7ab+9)
=-4ab -5a+3 + 7ab - 9
= -4ab+7ab-5a+3-9
= 3ab-5a-6
Hope it helps...
Good luck on your assignment
______________________________
Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.
Answer:
Its the 2nd, 3rd, and 4th answer.
Step-by-step explanation:
i figured it out cause i did somehow
Answer:
it is 2 3 and 4 on edge 2021
Step-by-step explanation:
have a good day because i said so but mostly because you want to....ok bye love you
What is the equation of the graphed line?
a. y = 4x - 6
b. y = -4x + 6
c. y = 2/3x - 4
d. y = 3/2x - 4
Answer:
its c
Step-by-step explanation:
-4 is the y- intercept form and 2/3 is the slope
Answer:
C.
Step-by-step explanation:
Y intercept is -4 so a. and b. are out right away
the slope is up two over three so change in Y over change in X
Which statement is true about the end behavior of the
graphed function?
A: As the x-values go to positive infinity, the function's
values go to negative infinity.
B: As the x-values go to zero, the function's values go to
positive infinity
C: As the x-values go to negative infinity, the function's
values are equal to zero.
D: As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
Option A.
Step-by-step explanation:
Let the given graph represent the function f(x).
From the given that given graph it is clear that the end behavior of the function f(x):
1. As the x-values go to positive infinity, the function's values go to negative infinity.
[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]
2. As the x-values go to negative infinity, the function's values go to positive infinity.
[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]
Therefore, the correct option is A.