Answers
Try this solution:
a) the property of the inscribed quadrilateral is: m∠A+m∠G=m∠H+m∠F=180°.
It means (for m∠A+m∠G=180°), 21x-2+38x+5=180°, ⇒ x=3, m∠G=63-2=61°.
b) m(arcFAH)=2m∠FGH=2m∠G=122°.
c) x²-2x+y²-4y=11; ⇔ (x²-2x+1)+(y²-4y+4)=16; ⇔ (x-1)²+(y-2)²=4², where (1;2) is the centre and 4 - radius of this circle.
Related Questions
PLEASE HELP ME ASAP: 99 points
for my career development class
you work for 40 hours a week at $8.75 an hour and pay 12% in taxes. What is your net pay?
Answers
Answer:
Net pay =$ 308
Step-by-step explanation:
Net pay is the gross pay minus taxes
Net pay = gross pay - gross pay * tax rate
Simplifying this equation by factoring out gross pay
Net pay = gross pay (1- tax rate)
Gross pay = hours worked * hourly rate
Substituting this in
Net pay = hours worked * hourly rate (1- tax rate)
We know the
hours worked = 40
Hourly rate = 8.75
tax rate = .12
Net pay = 40 * 8.75 (1- .12)
Net pay = 350(.88)
Net pay =$ 308
The three finalists in the talent show are Emily, Miguel, and Valerie. Their combined score is 24. Emily and Miguel's combined score is twice that of Valerie, and Valerie scored only one more point than Miguel. How many points did Emily score? Which equation is needed to represent the situation? A) e = m + 1 B) m = e + 1 C) m = v + 1 D) v = m + 1
Answers
Answer:
(i)
Emily's score was 9
(ii)
e = m + 2
Step-by-step explanation:
Let's assume
Emily's score is e
Miguel's score is m
Valerie's score is v
Their combined score is 24
so, we get
[tex]e+m+v=24[/tex]
Emily and Miguel's combined score is twice that of Valerie
we get
[tex]e+m=2v[/tex]
Valerie scored only one more point than Miguel
we get
[tex]v=m+1[/tex]
(i)
we got system of equations as
[tex]e+m+v=24[/tex].............(1)
[tex]e+m=2v[/tex]..................(2)
[tex]v=m+1[/tex]......................(3)
we can plug second equation into first one
[tex]2v+v=24[/tex]
[tex]3v=24[/tex]
[tex]v=8[/tex]
now, we can plug this into second and third equation
[tex]v=m+1[/tex]
we can plug it and find m
[tex]8=m+1[/tex]
[tex]m=7[/tex]
now, we can find e
[tex]e+7=2\times 8[/tex]
[tex]e=9[/tex]
So, Emily's score was 9
(ii)
we got
e=9
m=7
9=7+2
e=m+2
Answer: Emily's score is 9; Equation (D) v = m+1
Step-by-step explanation: To find Emily's score, let's represent each score with their own initials, i.e.: Emily's score is E; Miguel's score is M and Valerie's score is V.
Their combined score is 24, which means:
E + M + V = 24 (1)
Emily and Miguel's combined score is twice of Valerie, in other words:
E + M = 2V (2)
Valerie scored only one point more than Miguel:
V = M + 1 (3)
Substitute (3) into (2):
E + M = 2(M + 1)
E = 2M - M + 2
E = M + 2 (4)
With (3) and (4), use it to substitute into equation (1):
E + M + V = 24
M + 2 + M + M + 1 =24
3M = 21
M = 7
Using M=7 to find E:
E = M + 2
E = 7 + 2
E = 9
Emily's score is 9.
To represent the situation, the correct equation is V = M + 1, which means Valerie's score is 1 more than Miguel, which is exactly what's written in the question.
use natural logarithmics to solve the equation round to the nearest thousandth 3e^2x +5=26
Answers
x = 0.973
Step-by-step explanation:3e^(2x) +5 = 26
3e^(2x) = 21 . . . . . subtract 5
e^(2x) = 7 . . . . . . . divide by 3
2x = ln(7) . . . . . . . .take the natural log
x = ln(7)/2 ≈ 0.973 . . . . divide by 2 and evaluate
Answer:
x= .973
Step-by-step explanation:
3e^2x +5=26
Subtract 5 from each side
3e^2x +5-5=26-5
3e^2x =21
Divide by 3 on each side
3/3e^2x =21/3
e^2x =7
Take the natural log on both sides
ln (e^2x) =ln (7)
2x = ln (7)
Divide by 2
2x/2 = ln(7)/2
x = ln(7)/2
x is approximately .972955075
Rounding to the nearest thousandth
x = .973
Which names the tiling
Answers
4, 8, 8
Step-by-step explanation:At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides). Hence the tiling can be named with three numbers: 4, 8, 8.
Answer:
4, 8, 8
At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides
Step-by-step explanation:
f(x) = -4x and g(x) = 5x-13, find f(g(x))
Answers
Answer:
-20x +52
Step-by-step explanation:
To solve this, we put the function g(x) into the function f(x) in the place of x
Put 5x-3 in for x in -4x
f(g(x)) = -4 (5x-13)
= -4*5x -4(-13)
= -20x +52
1.2 x 10 to the negative 3rd / 4 x 10 to the 6
Answers
Answer:
[tex]3 \cdot 10^{-10}[/tex]
Step-by-step explanation:
[tex]\dfrac{1.2\cdot 10^{-3}}{4\cdot 10^{6}}=\dfrac{12\cdot 10^{-4}}{4\cdot 10^{6}}\\\\=\dfrac{12}{4}\cdot 10^{-4-6}=3\cdot 10^{-10}[/tex]
I like to adjust the operands so the quotient needs no adjustment. Here that means rewriting the numerator to an equivalent value with a mantissa between 4 and 40.
what are the coefficients in the following expression 8x + 5 + 6y
Answers
Answer:
8 5 and 6 are the coefficients
Step-by-step explanation:
For this case we have that by definition, a coefficient is the term that accompanies a variable. If we have the expression given by:
[tex]8x + 5 + 6y[/tex]
The number "5" is a constant.
Thus, two variables, "x" and "y", are observed.
Thus according to the definition, the coefficients are given by "8" and "6" respectively.
Answer:
8 and 6 are the coefficients
the sales tax in your city is 4.4 and an item costs $3 before tax how much do u pay on the item
Answers
Answer:
$3.13
Step-by-step explanation:
We assume you mean the tax rate is 4.4%. Then the tax on $3 is ...
... tax = (tax rate) × (item cost)
... = 4.4/100 × 3.00 = 4.4 × .03 = 0.132 ≈ 0.13
The amount paid is ...
... amount paid = tax + item cost = $0.13 +3.00
... amount paid = $3.13
Using the number line, determine which expressions have a value that is greater than –8. Select Yes or No for each expression. l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
Yes:
-13 +1
-6 -(-6)
-4 -(-7)
-4 - 6
-2 - 11
No:
Answers
yes
-6-(-6)-4-(-7)no
all othersStep-by-step explanation:Doing what the directions say is generally a good idea.
Adding a number moves to the right; subtracting a number moves to the left. Subtracting a negative number is the same as adding its opposite.
The arrowhead end of the line in the figure is the end result. Two of them end up to the right of -8, that is, greater than -8.
Answer:
Answer:
yes
-6-(-6)
-4-(-7)
no
all others
Step-by-step explanation:
WILL GIVE BRAINLIEST!! Which ratio is equivalent to the unit rate 30 miles 1 gallon ? How was the unit rate transformed into the equivalent ratio? A) 3 gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10. B) 90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3. C) 6 gallons 180 miles ; by multiplying the numerator and denominator of the unit rate by 2. D) 180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.
Answers
Answer:
D)180 mi/6 gal; by multiplying the numerator and denominator of the unit rate by 6.
Step-by-step explanation:
30 mi/1 gal Multiply numerator and denominator by 6
= 180 mi/6 gal
A) and C) are wrong because they have gallons in the numerator
B) is wrong. It should be either 90 mi/3 gal or 150 mi/5 gal.
the table shows the relationship between two variables which selection describes the relationship
Answers
Answer:
C. Decreasing; Linear.
Step-by-step explanation:
We have been given a table that shows the relationship between two variables.
Let us find slope of our given values using slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let us find rate of change for points (1,5) and (2,-1)
[tex]m=\frac{-1-5}{2-1}[/tex]
[tex]m=\frac{-6}{1}=-6[/tex]
Let us find slope for points (3,-7) and (4,-13).
[tex]m=\frac{-13--7}{4-3}[/tex]
[tex]m=\frac{-13+7}{1}[/tex]
[tex]m=\frac{-6}{1}=-6[/tex]
We can see that rate of change is constant (-6), therefore, our function is a linear function. Since slope is negative (-6) and with each increase in x, our y is decreasing, therefore, our function is decreasing.
A developer buys 12 acres of land at 41,00 per acre. How much does he pay for the land
Answers
Answer:
492,000
Step-by-step explanation:
Do 41,000x12. Pls mark me brainliest if im correct!
What is the effect on the graph of the function f(x)=x when f(x) is replaced with -1/2f(x)?
Answers
Answer:
The line will change its slope by a factor of -2 (line will now "point down" with twice the original steepness)
Step-by-step explanation:
f(x) = x | replace f(x) --> (-1/2)f(x)
(-1/2)f(x) = x
f(x) = -2x
sherrie opened 5 bags of peanuts and counted a total of 75. At this rate, how many peanuts would be in 8 bags.
Answers
Answer:
There should be 120 peanuts
Step-by-step explanation:
We can use ratio's to solve this problem
5 bags
---------------
75 peanuts
5 bags 8 bags
--------------- = ------------------
75 peanuts x peanuts
Using cross products
5x = 75*8
5x = 600
Divide each side by 5
5x/5 = 600/5
x = 120
Answer:
if 5 bags of peanuts = 75peanuts
Then 1 bag will be 15 peanuts beacause 75 divided by 5 is 15
8 bags of peanuts will then be 15 multiply by 8 which is 120 peanuts
Step-by-step explanation:
a candle burned at a steady rate. after 32 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it was 10.75 inches tall. use an equation in point-slope form to determine the height of the candle after 2 hours.
Answers
ANSWER:
The candle was 12 inches tall to begin with.
After 2 hours (120 minutes), the height of the candle is approximately 9.9625 inches.
To start, let's define our variables:
t represents time in minutes.
h represents the height of the candle in inches.
First, we find the rate at which the candle is burning. The change in height over time is [tex]\( \frac{{11.2 - 10.75}}{{32}} \)[/tex] inches per minute.
Using point-slope form [tex]\( y - y_1 = m(x - x_1) \)[/tex], where [tex]\( (x_1, y_1) \)[/tex] is a point on the line and m is the slope, we can use the point [tex]\((32, 11.2)\)[/tex] and the calculated slope to find the equation of the line.
[tex]\( h - 11.2 = \frac{{11.2 - 10.75}}{{32}}(t - 32) \)[/tex]
Simplify to: [tex]\( h - 11.2 = -\frac{{0.45}}{{32}}(t - 32) \)[/tex]
Next, we want to find the height after 2 hours (which is 120 minutes). Substituting t = 120 into the equation:
[tex]\( h - 11.2 = -\frac{{0.45}}{{32}}(120 - 32) \)[/tex]
[tex]\( h - 11.2 = -\frac{{0.45}}{{32}}(88) \)[/tex]
[tex]\( h - 11.2 = -1.2375 \)[/tex]
Now, solving for h :
[tex]\( h = 11.2 - 1.2375 \)[/tex]
[tex]\( h = 9.9625 \)[/tex]
So, after 2 hours (120 minutes), the height of the candle is approximately 9.9625 inches.
Angle MNO is formed by segments MN and NO on the following coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A line segment MN is shown with M as ordered pair negative 1, 1 and N as ordered pair negative 5, 4. Another line segment NO is shown with O as ordered pair negative 1, 4.
Angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M′N′O′. Which statement shows the measure of angle M′N′O′?
m∠ M′N′O′ = 90 degrees
m∠ M′N′O′ = 180 degrees
m∠ M′N′O′ = 2 ⋅ m∠MNO
m∠ M′N′O′ = m∠MNO
Answers
Answer:
I am 90% sure that the answer is M'N'O' is 90*
Step-by-step explanation:
A line segment MN is shown as M = -1,1 and N= -5,4 this makes a diagonal line across the grid. Another line segment NO is shown with O as ordered pair negative 1, 4. Angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M′N′O′. this is where the angles meet, Rotating the shape (or the angles) does not change the degree of the angle of the shape. I am 99% sure that an 90* angle would be formed. but im just in middle school so what do i know?
Answer with explanation:
It is given that ,∠M NO is formed by segments MN and NO on the following coordinate grid.
Coordinate of Point M = (-1,1)
Coordinate of Point N= (-5,4)
Coordinate of Point O= (-1,4)
[tex]MN=\sqrt{(-1+5)^2+(1-4)^2}\\\\MN=\sqrt{16+9}\\\\MN=5\\\\NO=\sqrt{(-1+5)^2+(4-4)^2}\\\\NO=4\\\\MO=\sqrt{(-1+1)^2+(4-1)^2}\\\\MO=3[/tex]
MO²+NO²=MN²
So,By Pythagorean Theorem, ΔM NO is right Angled Triangle having ∠ O=90°.
Now, it is given that, ∠MNO is rotated 90 degrees counterclockwise about the origin to form ∠ M′N′O′.
⇒When we rotate a Triangle either Anticlockwise or Clockwise the triangle before Rotation and Triangle after rotation will be congruent to each other.
Option D:→
m∠ M′N′O′ = m∠M NO
The heights of two cylinders are in the ratio 3:1 if the volumes of two are same find the ratio of their respective radii
Answers
Answer:
[tex]\sqrt{3}[/tex] :1
Step-by-step explanation:
Ratio of height of two cylinders are 3:1
Let C2 has the height x
then height of C1 is 3x
Let r1 is the radius of C1
and r2 is the radius of C2
As given that volume of both are equal
Also we know that formula for the volume of the cylinder is
V= π r²h
for C1
V= π (r1)²h
for C2
V=π (r2)²h
As volume of both are same so equating them
π (r1)²h1 = π (r2)²h2
as h1 =3x and h2=x
putting values
π (r1)²(3x) = π (r2)²(x)
cancelling out π and x from both side of the equation
3(r1)²= (r2)²
Taking square root of both sides give
[tex]\sqrt{3(r1)^{2} }=\sqrt{(r2)^{2} }[/tex]
r1 ( [tex]\sqrt{3}[/tex]) = r2
or
r1 : r2 = [tex]\sqrt{3}[/tex] :1
Which triangle is similar to triangle SRT?
Answers
Answer:
Triangle PQR
Step-by-step explanation:
PQR I am just adding extra words so I have a higher word count so it accepts my answer :)
Can someone please help me with problem 15 (picture)
Answers
$137,557.93
Step-by-step explanation:It is convenient to let a spreadsheet do the calculations. The number in the fourth column is the number in the first column divided by the number in the second column and multiplied by the number in the third column.
For example, the weighted average cost of Widgets is ...
... 135,320.00 × 866/2740 = 42,769.02
Then the total of all on-hand inventory is the sum of the inventory costs of the three items: $137,557.93.
Emily wants to make a rectangular model with a height of one cube
She wants to make the model in exactly 2 different ways. How many connecting cubes could emily use to make the model in only two ways.
Answers
Answer:
Three cubes
Step-by-step explanation:
The cubes have to be indistinguishable and all orientations of one cube are also have to be indistinguishable.
All ways of connecting two cubes result in the same shape. So answer is larger than two.
After connecting two cubes, there are ten faces where the third cube can be attached, and two faces which are connected, accounting for all 12 faces of two cubes.
Of the 10 exposed faces, exactly two are on opposite ends, both leading to the same straight line figure. The other 8 faces all lead to an L shape, and all L shapes can be rotated to be identical.
Hence, three cubes can only make a straight shape or an angled shape.
Four cubes can make a straight shape, a L shape, a Γ shape (but flipping it over through 3 dimensions makes L and Γ identical), a T shape, and a square shape. That is either four or five different objects depending on if they can be lifted from the table. Anyway, it is more than two.
Please answer ASAP!! which of the following is closest to 0.25 and why?
A) 9/40 B)5/16 C) 9/32 D) 0.28 E) 15/64
Answers
Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has, which expression represents the number of marbles that Conrad has?
Answers
Answer:
r+6
Step-by-step explanation:
r = marbles that Rory has
r+6 = marbles that Conrad has
Answer:
r+6
Step-by-step explanation:
r = marbles that Rory has
r+6 = marbles that Conrad has
you could also use c
x^3-8/x^2+2x+4 divided by (x^2-4)
Answers
The simplified expression is [tex]\( \frac{x - 2}{x + 2} \)[/tex].
To divide the expression [tex]\(\frac{x^3 - 8}{x^2 + 2x + 4}\) by \((x^2 - 4)\)[/tex], you first factor both the numerator and denominator.
Factor the numerator:
[tex]\[ x^3 - 8 \][/tex]
[tex]\[= (x - 2)(x^2 + 2x + 4) \][/tex]
This is based on the difference of cubes: [tex]\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\), where \(a = x\) and \(b = 2\).[/tex]
Now, factor the denominator:
[tex]\[ x^2 + 2x + 4 \][/tex]
[tex]\[= (x + 2)^2 \][/tex]
The expression becomes:
[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \][/tex]
Now, divide by [tex]\((x^2 - 4)\)[/tex]:
[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \div (x^2 - 4) \][/tex]
Factor [tex]\(x^2 - 4\)[/tex] further:
[tex]\[ x^2 - 4 = (x + 2)(x - 2) \][/tex]
Now, cancel out common factors:
[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \div (x^2 - 4) = \frac{x - 2}{x + 2} \][/tex]
Therefore, the simplified expression is [tex]\( \frac{x - 2}{x + 2} \)[/tex].
Complete question:
Simplify: X^3-8/x^2+2x+4 divided by (x^2-4)
Chloe charged for admission to her play on three different nights. Each night, a different number of people were in attendance, but remarkably, Chloe collected $541 each night. If the admission charges for each child and each adult were $9 and $17, respectively, how many people in total came to the three showings?
Answers
To find the total number of people who came to the three showings, divide the total amount collected by the average admission price. Set up equations using the given information for each night and solve simultaneously to find the values of x, y, a, b, p, and q. Add those values to find the total number of people.
Explanation:To find the total number of people who came to the three showings, we need to divide the total amount collected by the average admission price. Let's calculate:
On the first night, let's assume there were x children and y adults. So, we can set up the equation.
9x + 17y = 541.
Similarly, for the second and third nights, we can set up two more equations:
9a + 17b = 541 and 9p + 17q = 541.
Solving these three equations simultaneously will give us the values of x, y, a, b, p, and q, which represent the number of children and adults present on each night. Adding those numbers together will give us the total number of people who came to the three showings.
Learn more about Total number of people at three showings here:https://brainly.com/question/29183899
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A textbook store sold a combined total of 266 math and biology textbooks in a week. The number of math textbooks sold was 54 more than the number of biology textbooks sold. How many textbooks of each type were sold?
Answers
Let m and b represent the numbers of math and biology books sold, respectively. The problem statement tells you ...
... m + b = 266
... m - b = 54 . . . . . . . 54 more math books were sold
Adding these two equations gives you ...
... 2m = 320
... m = 160 . . . . . divide by 2
... b = 160 -54 = 106 . . . . 54 fewer biology books were sold.
160 math textbooks and 106 biology textbooks were sold in a week.
*Functions* Fill in the blank.
The function f(x)=log x is transformed into the equation f(x)=log (1/4x).
The function f(x)=log (1/4x) is a _______ of the parent function by a factor of _______.
A. horizontal stretch
B. horizontal compression
(A and B apply to the first blank, C, D, and E apply to the second blank.)
C. 0.25
D. 1
E. 4
Answers
Answer:
A and C
Step-by-step explanation:
I hope I helped you.
Victor need 30 feet of rope. the rope he wants to buy is sold by the yard. he knows that there are 3 feet in 1 yard. how many yards should he But?
a. 10
b.20
c.60
d.90
Natalie chose D as the correct answer. how did she get that answer?
Answers
Douglas runs 4 1/4 miles each day.About how many miles does he run in seven days?Please show your work.
Answers
[tex]4 \frac{1}{4} \times 7 = 28 \frac{3}{4} [/tex]
A)Simplify the expression and explain each step. 12 + 3(2y - 3) (B)Factor the expression completely. 18b - 12 (As you solve these problems do it with numbers intead of the word form like 1+1=2 instead of one plus one equals two, please and thank you. I will give brainlyist.
Answers
Answer:
A) 6y +3B) 6(3b -2)Step-by-step explanation:
A) Use the distributive property to eliminate parentheses. Then combine like terms. (The only "like terms" are the constants.)
... = 12 +3·2y +3·(-3) . . . use the distributive property to multiply each term in parentheses by the factor 3 outside those parentheses
... = 12 +6y -9 . . . . . . . . simplify
... = 6y + (12 -9) . . . . . . group like terms together
... = 6y + 3 . . . . . . . . . . simplify
___
B) Look for factors of each term that are also found in the other term.
... 18b has factors 3×6×b
... 12 has factors 2×6
The only common factor is 6, so we factor that out using the distributive property.
... 18b -12 = 6(3b -2)
_____
Comment on factoring
For factoring problems, it helps immensely if you know your times tables and some of the rules for divisibility. (Even numbers are divisible by 2, numbers ending in 0 or 5 are divisible by 5, numbers whose sum of digits is divisible by 3 are divisible by 3, for example.)
Which of the following statements is true?
All the answers are correct.
If a function has an inverse function, then the original function will pass the horizontal line test.
A function will always pass the vertical line test.
If the function has an inverse function, then the inverse function will pass the vertical line test.
Answers
Answer:
All the answers are correct
Step-by-step explanation:
Any relation that is a function will pass the vertical line test, regardless of any other characteristic it may have (such as being the inverse of some other function).
The inverse of a function is that function reflected across the line y=x. If the inverse passes the vertical line test (is a function), then the original must pass the horizontal line test. The reflection of a vertical line is a horizontal line and vice versa.