prove that an isosceles trapezium is always cyclic
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Hope this helps !
Photon
Related Questions
can anyone help?....
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You can get this answer by multiplying the two polynomials and then simplifying. See the steps below:
(4x^2 - 5)(x + 3) ---> Now multiply the two parenthesis.
4x^3 - 5x + 12x^2 - 15 ---> Arrange the numbers by decreasing exponents.
4x^3 + 12x^2 - 5x - 15
No simplifying can be done since there are no like terms.
Answer: [tex] fg(x)=4x^3+12x^2-5x-15[/tex]
Step-by-step explanation:
Given: [tex]f(x)=4x^2-5\text{ and } g(x)=x+3[/tex]
We know that for any function f(x) and g(x), the multiplication function (fg) (x) is given by :-
[tex]fg(x)=f(x)g(x)[/tex]
Now, for the given functions, we have
[tex]fg(x)=(4x^2-5)(x+3)\\\\\Rightarrow\ fg(x)=4x^2(x+3)-5(x+3)\\\\\Rightarrow\ fg(x)=4x^3+12x^2-5x-15[/tex]
1. Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
2. Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
3. Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
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3x - 12 + x = 180
4x - 12 = 180
4x = 192
x = 48
Now we know the value of x we can substitute it for x in the expression of angle B.
3(48) - 12 = 132
Angle B is 132°
2) The opposite angle of an inscribed quadrilateral are supplementary. So first we will find the value of x.
28 + x = 180
x = 152
The value of x is 152 so we can substitute this in for x in the expression of angle A.
152 - 36 = 116
So angle A is 116°
3) To find the measure of angle C we will first find the value of x.
3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x = 175
x = 35
Now we can find the value of angle A an then subtract it by 180 for angle C.
2(35) + 3 = 73
180 - 73 = Angle C
107 = Angle C
The square of nine less than a number is three less than the number. What is the number ?
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.. (n -9)^2 = n -3 . . . . . the square of 9 less than the number is 3 less than the number
.. n^2 -18n +81 = n -3
.. n^2 -19n +84 = 0
.. (n -7)(n -12) = 0
.. n = 7 or 12
The number could be 7 or 12.
_____
Check:
.. (7 -9)^2 = (-2)^2 = 4 = 7 -3 . . . . answer checks OK
.. (12 -9)^2 = 3^2 = 9 = 12 -3 . . . . answer checks OK
The original problem is translated into a quadratic equation. By following the process of expanding, moving all terms to one side and solving the resulting equation yield the overall possible solutions x = 4 or x = 1.
Explanation:The question is asking to solve for a number based on a given condition. In this case, let's symbolize this unknown number with x. The problem can be written as an algebraic equation which is (x-9)^2 = x-3. You solve it first by expanding the equation, then move all terms to one side of the equation, to get a quadratic equation. Then, solve the quadratic equation to get the possible values of x. If you follow these steps, you will find that the possible solutions for this equation are x = 4 or x = 1.
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What is the equation of a vertical line passing through (−5, −2)?
x = −5
y = −2
x = −7
y = −3
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here the equation is x = -5 ( the x coordinate of (-5,-2)
Answer:
x = -5
First option is correct.
Step-by-step explanation:
The vertical line is passing through the point (−5, −2).
The equation of a vertical line is in the form x = k
For vertical line, the x-coordinate of each point that lie on the line remains same. Only the y-coordinate is different
For the given point, the x-coordinate = -5
Hence, k = -5
Therefore, the equation of line is x = -5
First option is correct.
Michelle works at a store that sells clothing accessories. The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps. If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?
A. 31 baseball caps
B. 6 baseball caps
C. 19 baseball caps
D. 25 baseball caps
Answers
19 = Q - 6
You'll add 6 on both sides.
25 = Q
So the answer choice D is the right answer.
Answer:
25
Step-by-step explanation:
Given : The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps.
To Find: If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?
Solution:
The supply function for baseball caps is P=Q-6
where P is the price
Q is the quantity of baseball caps.
Now we are given that Michelle sells the baseball caps for $19 a piece.
So, P = 19
Substitute the value in the function:
19=Q-6
19+6=Q
25 =Q
Thus If Michelle sells the baseball caps for $19 apiece, the store make will make 25 baseball caps .
For the function f(x) = (8-2x)2 ,find f-1 . Determine whether f-1 is a function.
A.
f-1(x) = ;f-1 is a function
B.
f -1 (x) = ; f-1 is not a function
C.
f-1(x) = ;f-1 is not a function
D.
f-1(x) = ; f-1 is a function
Its not A!,
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f-1(x) = 8±√x/2; f-1 is not a function, is the answer
What is the scale factor used to create the dilation?
A: 1/2
B: -1/2
C: 2
D: -2
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ansswer
C: 2
hope it helps
given that cos 42° ~0.743 what is the sine of the complementary angle
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so if the cos(42°) is "whatever", the sin(90° - 42°) is then, well, you know already.
Which of the following are independent pairs of events? Check all that apply.
A.Flipping two coins and having one show a head and the other show a head
B.Being sneezed on and catching a cold
C.When rolling a pair of dice, getting a total of 6 and having one die show a 3
D.Rolling a 4 on one die and rolling a 2 on another die
E.Seeing clouds and winning the lottery,
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The best answer for these question would be:
A. Flipping two coins and having one show a head and the other show a head
D. Rolling a 4 on one die and rolling a 2 on another die
E. Seeing clouds and winning the lottery
Independent events in math means that the first situation does not affect the other variable. It is generally the individual probability that will happen to the solution. Which means that you have to determine whether the first situation will be affected on the second events that will happen. While the dependent events, have the opposite effect.
3. Use the description of each triangle to draw a picture of the triangle. Write and solve equations to find missing angle measures when necessary. Label the measures of all angles of the triangle and mark congruent sides and right angles. (You do not need to draw the triangle exactly to scale.) (a) right isosceles triangle (b) equiangular (all three angles congruent) isosceles triangle (c) acute scalene triangle with two angle measures of 57° and 82°
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For part A, the right isosceles triangle, you must have a triangle with a right angle, 90 degree. Then, the two legs must be congruent.
For part D, draw a triangle with all 3 angles being 60. This will make the sides congruent also.
For part C, the three measures of your triangle will be 57, 82 and 41. The measures of the sides don't matter, they will all be different.
A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?
Answers
(3/10) * (4/10)=3/25.
Answer:
[tex]\texttt{Probability}=\frac{3}{25} [/tex]
Step-by-step explanation:
Probability is the ratio of number of favorable outcome to total number of outcomes.
Total number of socks = 4 + 3 + 3 = 10
Number of blue socks = 3
Number of red sock = 4
[tex]\texttt{Probability of selecting blue sock}=\frac{3}{10} \\ [/tex]
[tex]\texttt{Probability of selecting red sock}=\frac{4}{10} \\ [/tex]
For finding the combined probability we need to multiply both the values
[tex]\texttt{Probability that the first sock is blue and the second sock is red}=\frac{3}{10}\times \frac{4}{10}=\frac{12}{100}=\frac{3}{25} \\ [/tex]
[tex]\texttt{Probability}=\frac{3}{25} [/tex]
The sum of 555 consecutive integers is 505505505.
What is the third number in this sequence?
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The sum of 5 consecutive integers is 505. What is the third number in this sequence?
Let
x-----------> first integer
x+1-----------> second integer
x+2-----------> third integer
x+3-----------> fourth integer
x+4-----------> fifth integer
we know that
x+(x+1)+(x+2)+(x+3)+(x+4)=505
then
5x+10=505----------> x=(505-10)/5---------> x=99
therefore
the third integer is (x+2)------> 99+2=101
the answer is 101
A similarity transformation maps ABC to JKL. The measure of of preimage ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If in the preimage corresponds to in the image, what is m?
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Does the point (3,7) lie on inside or outside the circle
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19) What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 3?
A) shifts the line 3 units up
B) shifts the line 3 units down
C) increases the slope of the line by a factor of 3
D) decreases the slope of the line by a factor of 3
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when using the binomial formula which of the following is the correct step in the expansion of (x+y)^4
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The correct step in the expansion of (x+y)^4 is to determine the coefficients for each term using the binomial formula.
Explanation:The correct step in the expansion of (x+y)^4 using the binomial formula is to determine the coefficients for each term.
In this case, the coefficients can be found using the formula n choose k, where n is the exponent (4) and k is the power of either x or y in each term.
For example, the term with x^3*y would have a coefficient of 4 choose 3, which is equal to 4.
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More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were S students in each bus, which inequality best represents this situation?
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S > (450 - 6)/11
So now get the 450 alone:
S×11 > 450 - 6
11S +6 > 450 -6+6
11S + 6 > 450
What is the simplified form of 8b^3c^ 2a + 4b^3c^2?
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[tex]= (8+4) b^{3} c^2[/tex]
[tex]=12 b^{3} c^2[/tex]
Be carefully, normally there is no a in your expression. I think you made a mistake.
Hope this helps !
Photon
please anyone help me
A show is on friday,saturday and sunday
2/5 of the total ticlets are for the saturday show.
240 tickets are sold for the saturday show.
three times as many tickets are sold for the sunday show as for the friday show
How many tickets are sold for the sunday show?
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The Answer Is > 240 x 3 = 720 so 720 is your answer!!
Please Mark Me Brainliest :) :) Annierosehodge (: (:
The dimensions in inches of a shipping box can be expressed as width x, length x+1, and height x-4. The volume is 84ft sq. Find the dimensions of the box in feet.
1,1,4
2,2,21
2,6,7
3,4,7
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V = W*L*H
Plug in all the information we have:
84 ft^3 (incorrectly written as ft sq in the question)
84 ft^3 = (x)(x+1)(x-4) = (x)(x^2-3x-4) = x^3 - 3x^2 - 4x.
Next, think of the factors of 84. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The value is x = 6.
(6)(6+1)(6-4) = (6)(7)(2) = 84
Answer:
(1 pt) ~2,6,7~
Step-by-step explanation:
Name at least one advantage of credit cards
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A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
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4/3 x 3.14 x 9^3 = 1526.04
1186.92 + 1526.04 = 2712.96 = 2713 cubic inches
Answer: V = 2712.94 cubic inches.
Step-by-step explanation: The prop is formed with two objects: cone and half of a sphere. To calculate the volume, find the volume of the cone and the half-sphere and add them together.
Volume of Cone:
V₁ = [tex]\frac{1}{3}.B.h[/tex]
B is area of the base
h is height
Since the cone has its base as a circle, the volume will be:
V₁ = [tex]\frac{1}{3}[/tex].π.[tex]r^{2}[/tex].h
V₁ = [tex]\frac{1}{3}[/tex] . 3.14 . [tex]9^{2}[/tex] . 14
V₁ = 1186.9 cubic inches
Volume of Half-Sphere:
V₂ = [tex]\frac{2}{3}[/tex].π.[tex]r^{3}[/tex]
V₂ = [tex]\frac{2}{3}[/tex] . 3.14 . [tex]9^{3}[/tex]
V₂ = 1526.04 cubic inches
Total Volume:
V = V₁ + V₂
V = 1186.9 + 1526.04
V = 2712.94 cubic inches
The volume of the prop is V = 2712.94 cubic inches
The sum of three consecutive integers is -96. What is the larger integer
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-96 = x + (x + 1) + (x + 2)
Now we can solve algebraically for x.
-96 = x + (x + 1) + (x + 2)
-96 = x + x + 1 + x + 2
-96 = 3x + 3
-99 = 3x
-33 = x
The first integer is x, so the first integer is -33.
The second integer is x + 1, so the second integer is -32.
The third integer is x + 2, so the third integer is -31.
Let's quickly add these integers to see if their sum is -96.
-33 + (-32) + (-31)
-33 - 32 - 31 = -96
These three consecutive integers add to equal -96. The question asks for the larger integer. Recall that the higher the number in front of a negative sign, the smaller the number. -2 is smaller than -1. That means the order of the integers from largest to smallest is -31, -32, -33.
Answer:
The largest integer is -31.
Olivia just graduated with an Associates degree and is working as a secretary in a firm earning 9.75 an hour.Her contract stipulates that she will get an annual rasie of 6% until she reaches the rate of $15.50 an hour. sheshow long would it take for Olivia to earn $15.50 an hour? math
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This is an exponential equation. We could write and solve the equation below to find the answer.
9.75(1.06)^x = 15.5
(1.06)^x = 15.5/9.75 Divide both sides by 9.75
x (log(1.06)) = log(15.5/9.75) Take the log of both sides and bring down the x.
x = log(15.5/9.75) / log(1.06) Divide both sides by log(1.06)
x = 7.956
Therefore, we can round it up to 8 years.
The true conditional statement, "If 5x+7=2x-1 then 3x+7=-1," illustrates which property of equality?
A.Addition
B.Subtraction
C.Multiplication
D.Division
Will Give Medal And Be Fan For Answer!,
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helpppppppppppppppppppp
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We then have to evaluate:
y = 3cosx + 3
y = 3cos0 + 3
y = 3 + 3
y = 6
Then, for x = pi
y = 3cosx + 3
y = 3cospi + 3
y = -3 + 3
y = 0
Answer:
y = 3cosx + 3
option 2
The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? mark X represent the width of the rectangle and write the Equation 2X +2(x+16)=256. Solving for X the width of the rectangle is what
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-------------------------------------------
Equation Given
-------------------------------------------
2x +2(x + 16) = 256
-------------------------------------------
Apply Distributive Property
-------------------------------------------
2x + 2x + 32 = 256
-------------------------------------------
Combine like terms
-------------------------------------------
4x + 32 = 256
-------------------------------------------
Subtract 32 from both sides
-------------------------------------------
4x = 224
-------------------------------------------
Divide by 4 on both sides
-------------------------------------------
x = 56
-------------------------------------------
Answer: The width is 56 inches.
-------------------------------------------
Find two positive consecutive odd integers such that the square of the larger integer is one less than twice the square of the small integer.
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x---------------> first positive odd integer
x+2------------> second positive consecutive odd integer
we know that
(x+2)²=2x²-1---------> x²+4x+4=2x²-1-------> x²-4x-5
x²-4x-5=0
using a graph tool--------> to calculate the quadratic equation
see the attached figure
the solution is
x=5
the answer is
the first positive odd integer x is 5
the second positive consecutive odd integer x+2 is 7
Answer:
smaller integer = 5
Larger integer = 7
Step-by-step explanation:
Let the first odd integer be x
Then the next consecutive integer will be x + 2
Now, The square of larger integer is 1 less than twice the square of the smaller integer.
As, x < x + 2
Smaller integer = x
Larger integer = x + 2
⇒ (x + 2)² + 1 = 2·x²
⇒ x² + 4 + 4x + 1 = 2x²
⇒ x² - 4x - 5 = 0
⇒ x² - 5x + x - 5 = 0
⇒ x(x - 5) + 1(x - 5) = 0
⇒ (x - 5)(x + 1) = 0
⇒ x = 5 or x = -1
But we need positive integer so x = -1 is rejected.
Hence, x = 5
So, smaller integer = 5
Larger integer = 7
You invest 1000 in an account at 2.5% per year simple interest how much will you hav in your account at the beginning of the 4th year round your answer to the nearest whole dollar
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[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\to &0.025\\ t=years\to &3 \end{cases} \\\\\\ A=1000(1+0.025\cdot 3)\implies A=1000(1.075)[/tex]
a company invest 15000 in an account that compounds interest annually after 2 years the account is worth 160099.44. use the function which R is the annual interest rate p is the principal and A is the amount of money after T years ...what is the interest rate of the account
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We all know the formula of simple interest
I = prt { You can take a look at the picture attached to see what each stands for }
Given are initial amount invested → $15000
period of time → 2 years
Amount after 2 years → $16099.44
I = Amount as final - Initial
= $1099.44
We need to find the interest
1099.44 = 15000( 2 ) r
1099.44 = 30000r
[tex] \frac{1099.44}{30000}= \frac{30000r}{30000} [/tex]
r = 0.036648
Rate as percentage = 0.036648 x 100 = 3.6648%
The interest rate of the account is 3.6648%