Solution:-10
As <AGQ and <EQG are corresponding interior angles
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 60°+a=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow a=180-60[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow a=120}[/tex]
<AGQ=<PQR=60°<BHF=<PRQ=75°[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow b=75°}[/tex]
According to angle sum property
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow b+c+<PQR=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+75+60=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+135=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c=180-135[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow c=45°}[/tex]
Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?
Answer:
f(x) = x^2 is a classic example
f( 3 ) = 9 and
f( -3 ) = 9, but
f^(-1)[9] is undefined because the result can be 3 and -3
Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1
According to it's asymptotes, the function represented by the graph is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
The vertical asympotes of a function f(x) is the points which are outside the function domain.
In a fraction, they are given by the zeroes of the denominator.In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.
The horizontal asymptotes are the values of the function as x goes to infinity.
In this problem, they are given by:
[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]
Hence, the option that satisfies it is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.
HELLLPPPPP!!
What is the solution to the following?
HELP ME GUYS PLEASE! :)
Answer:
4x + 5y = 19 - (x + 5y = 16)
4x - x = 3x
5y - 5y = 0
19 - 16 = 3
3x = 3
x = 1
4x + 5y = 19
4(1) + 5y = 19
4 + 5y = 19
5y = 15
y = 3
Solution: (1,3)
Step-by-step explanation:
4x + 5y = 19 - (x + 5y = 16)
4x - x = 3x
5y - 5y = 0
19 - 16 = 3
3x = 3
x = 1
4x + 5y = 19
4(1) + 5y = 19
4 + 5y = 19
5y = 15
y = 3
Solution: (1,3)
Hope this helps! :)
[tex](-\frac{3n}{18n^{2} } )^{-18} * (-6n)^{-15}[/tex]
[tex]\left( - \dfrac{3n}{18n^2}\right)^{-18} \times(-6n)^{-15}\\\\\\= \left(-\dfrac{1}{6n} \right)^{-18} \times \dfrac{1}{(-6n)^{15}}\\\\\\=\left[(-6n)^{-1}\right]^{-18} \times \dfrac 1{(-6n)^{15}}\\\\\\=(-6n)^{18} \times \dfrac 1{(-6n)^{15}}\\\\=(-6n)^{18-15} \\\\=(-6n)^3\\\\=-216n^3[/tex]
Write the equation of the line in fully simplified slope-intercept form
Answer:
y = -5/6x + 6
Step-by-step explanation:
Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula
Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6
Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6
A factory manufactures cars and motorcycles in the ratio 8 : 12. If they make 1210 cars and motorcycles in a given period, how many cars do they make in the same period ?
Answer:
484 cars
Step-by-step explanation:
sum the parts of the ratio, 8 + 12 = 20 parts
Divide the total made by 20 to find the value of one part of the ratio
1210 ÷ 20 = 60.5 ← value of 1 part of the ratio , then
number of cars = 8 × 60.5 = 484
Juan used 2/3 of his can of paint to paint his garage and 1/6 of his can
of paint to touch up things around the house. If he used 58 ounces of paint, how
much paint was in the can to start with? Round to nearest whole number. PLS HELP WILL DO ANYTHING
Answer:
the can contained a total of 69.6 oz
Step-by-step explanation:
First, we find the total amount he used.
2/3 + 1/6 = 4/6 + 1/6 = 5/6
He used 5/6 of the can.
He used 58 oz.
That means that 5/6 of the can equals 58 oz.
We don't know the size of the can, so let x = original number of ounces in can.
5/6 of can = 58
5/6x = 58
Multiply both sides of the equation by 6/5 to find x.
6/5 × 5/6x = 6/5 × 58
x = 69.6
Answer: the can contained a total of 69.6 oz
Write the percent as a fraction or mixed number in simplest form.
31.25%
Please show work!
five million four thousand three hundred in standard form
Answer:
5,004,300Step-by-step explanation:
The standard form of five million four thousand three hundred is 5,004,300.
Hoped this helped.
[tex]GeniusUser[/tex]
Answer:
Answer:
5,004,300
Step-by-step explanation:
The standard form of five million four thousand three hundred is 5,004,300.
Hoped this helped.
GeniusUserGeniusUser
For a friend who's struggling
"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.
Will give brainliest!
varables:
O= omar songs\
S= total # of songs
equation:
2o+37= S
Hoped that helped:)
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEE!!!
Answer:
Step-by-step explanation:
from the given information, I would say they are all false since congruent means they are identical in form, whereas these are similar parrellelograms since potentially if you upscaled one it would be close to the other
How does a value that is greater
than 100% of the original value or less than
1% of the original value compare to the original
value?
[tex] \: \: \: \: \: \: [/tex]
If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -
If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.
hope it helps
A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r
Answer: The value of R is 6.
Explanation: I recommend you go to these two links for an easier understanding:
https://www.wikihow.com/Find-the-Y-Intercept
https://www.wikihow.com/Find-the-X-Intercept
If the formula P = a + 2b is rearranged then a = *
p - 2b
2b - p
P + 2b
2Pb
[tex] \: \: \: [/tex]
[tex]a = - 2b \: + \: p[/tex]
refer to the attachment for explanation
hope it helpsTake 2b to left sign turns negative
a=-2b+pa=p-2bOption A
For his statistics project, Martin recorded the weights of some apples.
Apples' weights (9)
+
70
80
90
100
110
120
What was the range of the apples' weights?
grams
Answer:
50 grams
Step-by-step explanation:
You simply subtract 70 from 120, and get 50.
Answer:
40 Grams!! i got it wrong and this was the answer
Step-by-step explanation:
à
A recipe calls for 1.25 cups of brown sugar to make a batch
of cookies. How many cups of brown sugar are needed for
5 batches of cookies?
Suppose you draw two tennis balls at random from a bag containing seven pink, four white, three yellow,
and two striped balls. Find each probability.
l2 P(yellow then pink) without replacing
its a ratio i think .......
someone help me please
Answer:
8
Step-by-step explanation:
Basically insert 18 where the X is and go from there!
2/3 (18) - 4
2/3 × 18 = 12
12 - 4 = 8
Jennie has $200 and spends $30. What percent did Jennie spend?
Answer:
30$ is 15% of 200$
Step-by-step explanation:
To find how much percent Jennie spent let's first find how much one percent of $200 is.
∴200/100=2
so one percent of 200 is 2
now let's find how much percent 30$ is of 200$
∴30/2=15
meaning that 30$ is 15% of 200$
Multiplying by 0.89 is the same as decreasing by _____%.
Answer:
1-0.89=0.11
0.11*100=11%
A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9. 5x for the data in the scatterplot? For each 1 minute, the runner ran 9. 5 miles. For each 9. 5 minutes, the runner ran 1 mile. The minimum distance with a recorded time is 9. 5 miles. The maximum distance with a recorded time is 9. 5 miles.
The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles
The equation of the line of best fit is given as:
[tex]y = 9.5x[/tex]
The line of best fit is represented as:
[tex]y = mx + b[/tex]
Where m represents the rate or slope.
So, by comparison:
[tex]m = 9.5[/tex]
This means that, the number of miles travelled every minute is 9.5
Hence, the true statement is (a)
Read more about regression equations at:
https://brainly.com/question/4333650
please help i have a test tmw
please help for brainliest
Answer:
84 and 144
Step-by-step explanation:
If the two numbers are a and b and their LCM is x and their HCF is y then there is a rule that is a×b=x×y
in this case:
a×b=x×y
a×b=(504)×(24)
a×b=12096
when finding factors of 12096 that are between 60 and 160, we can see that 84 and 144 is the best pair.
hope this helps! :D
have a miraculous day!! <3
What number multiplied by 3/5 has a product of 1?
Answer:
5/3
Step-by-step explanation:
let the number be x
3/5×[x] = 3x/5
3x/5=1
x=1÷3/5
x=5/3
Which equation could represent this graph?
f(x)=-2x-2
f(x)=-2x+2
f(x)=2x-2
f(x)=2x+2
Answer:
b. f(x) = -2x +2
Step-by-step explanation:
The graph has a negative slope (m < 0) and a positive y-intercept (b > 0). The only equation with those characteristics is ...
f(x) = -2x +2
_____
Additional comment
The line on the graph appears to fall by 2 grid squares for each 3 to the right. That means it has a slope of ...
m = rise/run = -2/3
None of the offered equations have that slope. We have to assume the graph is "not to scale". Hence we can only comment on the signs of slope and intercept, and not their values.
You may want to discuss this question with your teacher.
In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
Answer:
option C can be used.
Step-by-step explanation:
hope this helps you.
One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?
Answer:
If one bunch is two dollars even, then you could buy 10 bunches.
Step-by-step explanation:
20 divided by 2 = 10
So, you could buy ten bunches of grapes.
Answer:
the answer is 10 because 2 goes into 20 10 times.
Step-by-step explanation:
Solve each equation
6y-8-6-8y=4
Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
I will give up to 40 points if you help answer 5 questions
Answer:
SSSthe answer is ASAS1, 2, 3, 4, and 5using alternate interior angles theorem on angles A and C, verticle angles theorem on angle O, and the Parallelogram Diagonals Theorem Converse you can prove triangles ADO and BOC are similar. Then using CPCTC "Corresponding parts of congruent triangles are congruent" you can prove that line segment AO is congruent (equal) to line segment COStep-by-step explanation:
if my answer helps plz give me brainliest :)
Answer:
I hope this helps. I'm sorry in advance if it isn't.
Step-by-step explanation:
1) SSS
2) The first bullet point
3) SAS
4) They are congruent by SAS, ASA
5) Segment AO is congruent to segment CO because:
The diagonals AC and BD both have O as the intersection point. AC = BD since the geometric means of the legs is equal. Thus AO is congruent to CO