x=3!!!!!!!!!!!!!!!!!
In a cyclic quadrilateral ABCD, if (∠B – ∠D) = 60o , show that the smaller of the two is 60o
ANSWER
It is given that ABCD is a cyclic quadrilateral
(∠B−∠D)=60
o
......(1)
(∠B+∠D)=180
o
.....(2)
By adding both the equations
∠B−∠D+∠B−∠D=60
o
+180
o
So we get
2∠B=240
o
By division
∠B=120
o
By substituting equation it in equation (1)
(∠B−∠D)=60
o
120
o
−∠D=60
o
On further calculation
∠D=120
o
−60
o
by subtraction
∠D=60
o
Therefore, the smaller of the two angles ∠D=60
o
.
Step-by-step explanation:
if your last period started on Augest 6 and stopped on Augest 11. when will you have your next period?
A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).
Find the area of each of the four small rectangles in the figure. Then find the sum of these areas.
The area of each of the small rectangles is __?
Answer:
The area of four small rectangles are ac, bc, ad and bd.
what is the multiplicative inverse of -1/2
In mathematics, the reciprocal, or multiplicative inverse, of a number x is the number which, when multiplied by x, yields 1. It is denoted 1/x or x-1.
what is the graph of y= [tex]-\sqrt[7]{x} -8[/tex]
**Spam answers will not be tolerated**
Please evaluate the Derivative using the Limit Process. Show all workings.
Answer:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Step-by-step explanation:
We have the function:
[tex]\displaystyle f(x)=\frac{4}{\sqrt x}[/tex]
And we want to find the derivative using the limit process.
Recall that the definition of a derivative is:
[tex]\displaystyle \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Therefore, by substitution:
[tex]\displaystyle \lim_{h \to 0}\frac{\dfrac{4}{\sqrt{x+h}}-\dfrac{4}{\sqrt x}}{h}[/tex]
First and foremost, we can move the constant factor outside of the limit:
[tex]\displaystyle =\lim_{h \to 0}\frac{4\left(\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}\right)}{h}\\ \\=4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}[/tex]
Next, we can multiply everything by (√(x + h)(√x) to eliminate the fractions in the denominator. Therefore:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}\left(\frac{\sqrt{x+h}\sqrt x}{\sqrt{x+h}\sqrt x}\right)[/tex]
Distribute:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\left({\sqrt{x+h}\sqrt x}\right)\dfrac{1}{\sqrt{x+h}}-(\sqrt{x+h}\sqrt x)\dfrac{1}{\sqrt x}}{h({\sqrt{x+h}\sqrt x})}[/tex]
Distribute and simplify:
[tex]\displaystyle =4 \lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }[/tex]
Next, we can multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x + h)). Thus:
[tex]\displaystyle = 4\lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }\left(\frac{\sqrt x +\sqrt{x+h}}{\sqrt x +\sqrt{x+h}\right)}[/tex]
Simplify:
[tex]\displaystyle =4 \lim_{h \to 0} \frac{x-(x+h)}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}\\ \\ \\ =4 \lim_{h \to 0} \frac{x-x-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})} \\ \\ \\=4 \lim_{h \to 0} \frac{-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Cancel like terms:
[tex]\displaystyle =4 \lim_{h \to 0} -\frac{1}{(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Now, we can use direct substitution. Hence:
[tex]\displaystyle \Rightarrow4 \left( -\frac{1}{(\sqrt{x+0}\sqrt x)(\sqrt x+\sqrt{x+0})}\right)[/tex]
Simplify:
[tex]\displaystyle =4\left( -\frac{1}{(\sqrt{x}\sqrt x)(\sqrt x+\sqrt{x})}\right) \\ \\ \\ =4\left( -\frac{1}{(x)(2\sqrt{x})}\right)[/tex]
Multiply:
[tex]\displaystyle =- \frac{4}{2x\sqrt{x}}[/tex]
Reduce and rewrite:
[tex]\displaystyle =-\frac{2}{x(x^{{}^{1}\! / \! {}_{2} \!})}[/tex]
Simplify:
[tex]\displaystyle =-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Therefore:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Convert 45 miles per hour to miles per minute
Answer:
0.75 miles is miles per minute
2•14+ 3•7
————-
71 - 15
A manager of a grocery store collects data on each shopper who uses the self-checkout lanes on a Saturday morning. Which of the following is an example of a discrete quantitative variable that might be recorded in this setting?
the gender of each shopper
the shopper’s use of coupons
the number of items for each shopper
the time each shopper spends completing the transaction
Answer:
The correct option is;
The number of items for each shopper
Step-by-step explanation:
Quantitative data are data that are the result of a measurement and are therefore the numerical value assigned as an attribute of an item based on measurement. Examples of quantitative data are, the weights or heights of items, the count of an item and other similar measurable data
Discrete data are data to which are assigned specific unique numerical values
Data that is obtained by counting of a number of items are quantitative discrete data
Therefore, of the options, the one that is a discrete quantitative variable is the number of items for each shopper as it is countable which makes it quantitative and it carries a unique number, which makes it countable.
Answer:
The number of items for each shopper
Step-by-step explanation:
give the other guy brainliest
9+w>7 what is the inequality?
Answer:
w > -2
Step-by-step explanation:
9 + w > 7
Subtract 9 from both sides to end up with w alone on the left side.
w > -2
how to do recurring decimal and fraction
Answer:
What do you mean.....???
ex.....0.444444.......
Remove point.... and Write 9 as denominator
that is 4/9
Please please please help! D:
Answer:
∠ CAD = 32°
Step-by-step explanation:
The sum of the angles in Δ ABD = 180°, thus
∠ BAD + 100° + 48° = 180°
∠ BAD + 148° = 180° ( subtract 148° from both sides )
∠ BAD = 32°
Since AD bisects ∠ CAB , then
∠ CAD = ∠ BAD = 32°
I am a two digit prime number I am one less than multiple of 10. If you add 30 to meet you get another prime number. What number am I?
Answer: 29
Step-by-step explanation:
como se daca el area de un triangulo
The area is the measure of a space delimited by a contour that is called perimeter. In some cases, the term surface or area is often used interchangeably, but the former refers to space, while the latter refers to its measurement. That is, area is the measurement of a surface.
To calculate the area of a triangle:Obtaining the measurements of its sides,
The sides are:
BaseHeightEach of these sides measures a certain amount, for that, which is multiplied.
To calculate the area: multiply the given value of the base by the value of the height, and divide by 2.
For this, the following formula is applied:Area = B * h / 2See more at:https://brainly.com/question/24514946**URGENT** what is 2 and 1/3 minus 4/5 written as an improper fraction?
Answer:
23/15
Step-by-step explanation:
Step 1:
2 5/15 - 12/15
Step 2:
35/15 - 12/15
Answer:
23/15
Hope This Helps :)
What is the value of the expression below
x = 8 and y = 3
9x + 7y
9x+7y
x=8 and y=3
9(8)+7(3)
72+7(3)
72+21
=93
Evaluate the expression the quantity 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. A –16 B 8 C 20 D 29
Answer:
A is the correct option.
Step-by-step explanation:
We need to evaluate the expression 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. It can be written as :
[tex](3+5)\times \dfrac{h-k}{4}[/tex]
Put h = 4 and k = 12 in above expression.
So,
[tex](3+5)\times \dfrac{h-k}{4}=(3+5)\times \dfrac{4-12}{4}\\\\=8\times \dfrac{-8}{4}\\\\=2\times -8\\\\=-16[/tex]
After solving we get that the value of the given expression is -16.
3. ¿Cuál es el valor de x
x3=100
Answer:
do you know the answers???
how you expect me to do this
11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.
Answer:
R(16,-8)
Step-by-step explanation:
if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.
then x=(x1+x2)/2
and y=(y1+y2)/2
let coordinates of R are (x,y)
4=(-8+x)/2
8=-8+x
x=8+8=16
-3=(2+y)/2
-6=2+y
y=-6-2=-8
so R is (16,-8)
pls ignore the numbers that was another problem :)
3/4 + 1/8 + 1/10 = 39/40
............................................
Answer:
39/40 Please mark my answer the brainliest. It will get me to the next level!
Step-by-step explanation:
4=4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8=8, 16, 24, 32, 40.
10=10, 20, 30, 40.
GCF=40
3/4=30/40
1/8=5/40
1/10=4/40
30+5+4=39
Mary likes to collect coins. Mary got 24 coins from her brother, 16 coins from her mother as well as
37 coins from Joan. However, Mary lost 23 coins before putting those coins into her piggy bank. How
many coins does Mary have in her piggy bank?
Answer:
53
Step-by-step explanation:
24+16=40 40+37=77 77-24 = 53
Writing a two-column proof
Answer: I know this is late, but hope this helps. ^-^
Step-by-step explanation: Edge 2021.
To prove : m∠ABC = m∠GHI
Given,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
Here,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
∠DEF ≅ ∠ABC (Symmetric property)
∠GHI ≅ ∠ABC (transitive property)
m∠GHI = m∠ABC (definition of ≅ angles)
m∠ABC = m∠GHI ( symmetric property)
Hence
m∠ABC = m∠GHI
Know more about angles,
https://brainly.com/question/11293539
#SPJ2
y/3=2-2y in a verbal sentence
Answer:
Y=6/7
Step-by-step explanation:
Y=0.857142
Answer:
a number divided by 3 equals the value of two times the same number subtracted from 2Step-by-step explanation:
Amy invested $250 in the bank and a year later has $285.72. By what percent has the amount changed?
Answer:
14.28 %
Step-by-step explanation:
It is given that,
Initial amount is $250 and after 1 year the amount is $285.72. We need to find the percent by which the amount changed. It can be calculated as follows :
[tex]\%=\dfrac{\text{change in amount}}{\text{initial amount}}\times 100\\\\\%=\dfrac{285.72-250}{250}\times 100\\\\\%=14.28\%[/tex]
Hence, there is an increase of 14.28 % in this case.
I don’t know what to do here someone please help
Answer:
2) 24
3) 13
4) 27
Step-by-step explanation:
2) 3(2)^4-1=3(2)^3=24
3) 3(5)-2=15=2=13
4) 4(6-1)+7=4(5)+7=20+7=27
In an arithmetic sequence, the first term is 2 and the second term is 5. Find the common difference.
Answer:
d = 3Step-by-step explanation:
In an arithmetic sequence the common difference is always the difference between the next term and the previous term:
[tex]d= a_2-a_1=a_3-a_2=...=a_{150}-a_{149}=....[/tex]
we have: [tex]a_1=2\quad and\quad a_2=5[/tex]
so:
[tex]d=5-2 =3[/tex]
67 hundreds into standard form
There's a difference between "hundredths" and "hundreds". I'm going to assume you mean 6,700.
Answer:
6.7*10^3
Step-by-step explanation:
Write out the number.
6700
Bring the decimal to the left. However many times you move over to the left until you get between 6 & 7 should be your exponent for 10.
6.7*10^3
Dori bought a sandwich for $6.75, a bag of dried fruit for $1.45 and a bottle of water for $1.75. She paid the cashier with a $20 bill. How much change did she receive?
Answer:
She would receive $10.05 cents back
Step-by-step explanation:
Add 6.75, 1.45, and 1.75. You would get 9.95. Then, you would subtract $20.00 by $9.95, getting 10.05 as change.
Hope this helps!
16 less than the product of - 2 and -12
Answer:
8
Step-by-step explanation:
-12 x -2 = 24. 24-16=8
The local cable TV provider charges $89.00 per month for basic service, and has a $45.00 one-time "Activation Fee" for new accounts. Write (choose) the model for the Total Cost (C) of having cable TV as a function of the number of months (m) that you have service.
Answer: 89m+45=c
Step-by-step explanation: