Answers
Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:
[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]
[tex] x = \frac{1}{2}(240 - 120) [/tex]
[tex] x = \frac{1}{2}(120) [/tex]
x = 60°
Related Questions
Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)
Answers
Answer:
(g ￮ f)(-2) = 32
Step-by-step explanation:
Given
[tex]f(x)=5x+4[/tex]
[tex]g\left(x\right)=x^2-4[/tex]
We have to evaluate (g ￮ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).
Finding f(-2)
[tex]f(x)=5x+4[/tex]
[tex]f(-2) = 5(-2)+4[/tex]
[tex]= -10 + 4[/tex]
[tex]= -6[/tex]
Then
[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]
[tex]=36-4[/tex]
[tex]= 32[/tex]
Therefore,
(g ￮ f)(-2) = 32
Use the diagram to solve. What is 135% of 280?
Percent
Total
100%
5%
5%
5%
5%
5%
5%
5%
135%
315
378
525
560
Answers
Answer:
b
Step-by-step explanation:
hope it helps :D
A shop sells 20 different flavors of ice cream, in how many ways can a customer choose4 ice cream cones (one dip of ice cream per cone, please) if they:_________(a) are all of different flavors.(b) are not necessarily of different flavors.(c) contain only 2 or 3 flavors.(d) contain 3 different flavors.
Answers
Answer:
a.4845ways.
b. 14535ways.
c. 3990ways
d. 1140ways
Step-by-step explanation:
Given data:
No of flavors available to customers = 20.
Solution:
This is permutation and combinations problem,
(a) how many ways can the customers choose 4 different ice creams if they are all of different flavors.
20C4
= n!/(n-k)!)k!
= 20!/(20-4)!)4!
= 20!/(16)!)4!
= 4845ways.
b) are not necessarily of different flavors
Let’s say any two same flavors can be chosen.
20C4 * 3!/2!
= 4845 * 3
= 14535ways.
c) contain only 2 or 3 flavors.
= 20C3 * 3!/2!
= 1140 * 3
= 3420
20C2 * 3
= 190 * 3
= 570.
No of 2 or 3 different flavors
= 3420 + 570
= 3990ways.
d) contain 3 different flavors.
20C3
= n!/(n-k)!)k!
= 20!/(20-3)!)3!
= 1140ways.
Ratio.. 5 roses in a vase of 12 flowers .. rest daises
Answers
Answer:
roses : daises
5 : 7
Step-by-step explanation:
roses=5
daises=12-5=7
therefore ratio
roses : daises
5 : 7
4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answers
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answers
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6
Who watches nfl and what yo fav team?
Answers
Answer:
patriots and cowboys!
Step-by-step explanation:
Answer:
Patriots and Cardinals
Step-by-step explanation:
the sum of two number is 63the smaller number is 17 less than the larger number.what are the number
Answers
Answer:
The larger number is 40, and the smaller one is 23.
Step-by-step explanation:
Let x be the larger number.
Let x - 17 be the smaller number.
x + (x - 17) = 63
2x - 17 = 63
2x = 80
x = 40
Hence, the smaller number is 40 - 17 = 23.
Hope this helped!
x=40
y=23.
Explanation:
Let x be equal to the larger number.
Let y be equal to the smaller number.
Using the given information, we can come up with the following equations:
x+y=63
x-y=17
From here, we can use the method of elimination to find the value of x by adding the equations together. Please check the image attached!
2x=80
Divide both sides by 2 to isolate x
2x/2=80/2
x=40
Now, we can substitute x back into one of our original equations to solve for y.
x-y=17
40-y=17
Subtract both sides by 40 to isolate y
-y=17-40
-y=-23
y=23
Therefore, x=40 and y=23.
I hope this helps! Please comment if you have any questions :)
the picture is the question
Answers
Answer:
3x
Step-by-step explanation:
gradient is slope.
rise/run = 3/1x = 3x
=3/1 = 3 is the gradient
Petra jogs 3 miles in 30 minutes at this rate how long would it take a jog 10 miles
Answers
Answer:
100 minutes or 1 hour and 40 minutes
Step-by-step explanation:
3 miles in 30 minutes means 1 mile in 10 minutes
10 miles takes 100 minutes or 1 hour and 40 minutes.
1 hour and 40 minutes
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answers
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
Question 16
Mr. Twain asked the students in his class to draw the figure below using a scale factor of 3. Then, he asked students to tell him one of the new side lengths of the figure. Some student responses are below.
Student Response
Mark 5 in.
Samantha 6 in.
Divia 1.3 in.
Cheng 0.9 in.
Candice 11.7 in.
Select the student that answered Mr. Twain's question correctly.
A
Mark
B
Divia
C
Cheng
D
Candice
Answers
Answer:
C
Step-by-step explanation:
Your answer is C because got the question right when put C .
what is the slope of the graph in the picture
pls help it's closing in 40 minutes
pls explain how you got the answer
Answers
Answer:
-2
or
-2/1
Explanation:
**Slope = rise/run**
By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit
Answer:
m= -2
Step-by-step explanation:
Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1) or (1,1) and (2,-1)
[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex] [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]
PLS ANSWER FAST ITS DUE IN 10 mins DO NOT ANSWER IF YOUR NOT SURE ALSO I WILL MARK BRAINLIEST
Answers
Answer: The answer is
-1/3 > -0.5
Step-by-step explanation:
1/3 written as a decimal is -0.333333, which is more than -0.5, Hope this works :)
Formed from sentences P and Q, the sentence P or Q is a
A) biconditional.
B) complementary.
C) conditional
D) disjunction.
Answers
Answer c I think
Step-by-step explanation:
AGAIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
From the sum of -265 and -156 subtract the sum of 356 and -250
pls send with showing how to do the sum
Pls ASAP
Answers
Answer:
315
Step-by-step explanation:
The sum of -265 and -156:
-265 + (-156)
= -265-156
= -421
The sum of 356 and -250:
356 + (-250)
= 356-250
= 106
The sum of both:
-421 + 106
= -315
Hope this helped!
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answers
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
2.1(0.2x-1.4)=1.3(0.4x—3.5)
Pls help.
Answers
Answer:
x=161/10 =16.100
Step-by-step explanation:
Combine Like Terms
PLEASE FOLLOW ME
Answer:
hope it helps..
Step-by-step explanation:
Simplifying
2.1(0.2x + -1.4) = 1.3(0.4x + -3.5)
Reorder the terms:
2.1(-1.4 + 0.2x) = 1.3(0.4x + -3.5)
(-1.4 * 2.1 + 0.2x * 2.1) = 1.3(0.4x + -3.5)
(-2.94 + 0.42x) = 1.3(0.4x + -3.5)
Reorder the terms:
-2.94 + 0.42x = 1.3(-3.5 + 0.4x)
-2.94 + 0.42x = (-3.5 * 1.3 + 0.4x * 1.3)
-2.94 + 0.42x = (-4.55 + 0.52x)
Solving
-2.94 + 0.42x = -4.55 + 0.52x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.52x' to each side of the equation.
-2.94 + 0.42x + -0.52x = -4.55 + 0.52x + -0.52x
Combine like terms: 0.42x + -0.52x = -0.1x
-2.94 + -0.1x = -4.55 + 0.52x + -0.52x
Combine like terms: 0.52x + -0.52x = 0.00
-2.94 + -0.1x = -4.55 + 0.00
-2.94 + -0.1x = -4.55
Add '2.94' to each side of the equation.
-2.94 + 2.94 + -0.1x = -4.55 + 2.94
Combine like terms: -2.94 + 2.94 = 0.00
0.00 + -0.1x = -4.55 + 2.94
-0.1x = -4.55 + 2.94
Combine like terms: -4.55 + 2.94 = -1.61
-0.1x = -1.61
Divide each side by '-0.1'.
x = 16.1
Simplifying
x = 16.1
Please help ASAP! Mathematics!
Answers
Answer:
B.) See attachment below
Step-by-step explanation:
Answer:
Personally, I would say the answer is B.
But don't quote me.
Sorry if i'm wrong. Let me know if I am.
Have a great day hon.
Darnell is counting the number of vehicles that pass through an intersection per hour. Based on his count, he writes a function that approximates his data. What number set serves as the domain of Darnell's function?
Answers
Answer:
all whole numbers greater than or equal to 0
Step-by-step explanation:
-1 1/2 minus positive 3 1/2--5/8 equals what
Answers
Answer:
[tex]2\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]-1\frac{1}{2} - ( -3\frac{1}{2} ) - \frac{-5}{8} = 2\frac{5}{8}[/tex]
Solve the inequality 3(x+1)<18
Answers
Answer:
3(x+1)<18
3x+3<18
3x<15
x<5
Step-by-ste3(x+1)<1p explanation:
First we have to apply the Distribution Property to the left side of the inequality.
3(x + 1) = 3(x) + 3(1)
3x + 3 < 18
Now we get the term 3x alone by subtracting 3 on both sides.
3x + 3 - 3 < 18 - 3
3x < 18
Now all we have to do is get x alone to find out what would be the values of x is. And since the number we are dividing by isn’t a negative, we don’t have to flip the sign.
3x/3 < 18/3
x < 6
Mark as Brainliest if it helped! :)
Help solve this equation
Answers
Answer:
x=1
You solve for x by cross multyplying
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55.
How much George pay for his computer in total?
Answers
Answer:
£530
Step-by-step explanation:
Answer:
£530
I hope this helps!
Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.
Pls show step-by-step! :)
Answers
0.10 per minute is the slope
9 would be the y intercept
Equation: 0.10x + 9 < 45
if 8 identical items together weigh 30 kg, how much does each one weigh?
Answers
Answer:
each weighs 3.75 minimum
Answer:
Each item weighs 3.75 kg, or 3 and 3/4 kg.
Step-by-step explanation:
divide the total weight by the total amount of items. 30/8=3.75
hope this helped! :)
Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).
Answers
Answer:
25%
Step-by-step explanation:
This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.
24/96 = 0.25 * 100 = 25%
Answer:
Of the 96 pins, 25% of the pins were blue.
Step-by-step explanation:
We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.
With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.
[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]
Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.
[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]
Then, we can convert our fraction to a decimal.
[tex]\displaystyle \frac{1}{4} = 0.25[/tex]
And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.
[tex]0.25\times100 = 25\%[/tex]
Therefore, of the 96 pins that Martina ordered, 25% of them were blue.
Slope is - 1 and (0, 2) is on the line
Answers
2=-1(0)+b
2=0+b
2=b
Equation: y=-x+2
PLEASE HELP I'VE WAISTED ABOUT 30 POINTS ON THIS AND ITS ALMOST LATE
Answers
Gavin is correct.
Because, Blaise did mistake in the 2nd step and after that all the steps became incorrect.
Blaise did 7x - 16x + 2
While it should be 7x - 16x - 2