The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
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please help. 15 points and brainliest if correct!
Answer:
2 and 3
Step-by-step explanation:
hope this helps!❄︎
3 comic books for $6.75
Answer:
1 comic book for $2.25
Step-by-step explanation:
If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.
Tell me if I'm wrong :)
Answer:
$6.75/3= $2.25 per comic book
Step-by-step explanation:
gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min
Answer:
6 minutes per kilometer
Complete the table shown to the right for the population growth model for a certain country.
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
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5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answer:
First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example
Step-by-step explanation:
Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.
Answer:
x2 - 2x + 4 (remainder 2).
or we could write it as
x2 - 2x + 4 + 2/(x+3)
Step-by-step explanation:
x2 - 2x + 4 <------ quotient.
x + 3 ) x3 + x2 - 2x + 14
x3 + 3x2
-2x^2 - 2x
-2x2 - 6x
4x + 14
4x + 12
2 <--------- remainder
Step-by-step explanation:
100 POINTS! Select the correct answer.
Which system of equations is represented by this graph?
Answer:
A
Step-by-step explanation:
Remember, the equation of slope-intercept is y=mx+b
We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.
simplify 12b+4b^2-10b
Answer:
4 b 2 + 2 b
Step-by-step explanation: hope it helps
Jamall paid the rent well past the due date for the month of April May and June as a result he had been charge a total of $75 as a late fee how much does he have pay as late fee per month
Answer:
its In “Growing Up: Key Moments,” which piece of evidence best supports the author’s idea that challenging moments help people learn as they grow up?
Step-by-step explanation:
bc ez ez e yba better then aut
One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?
Answer:
They both had the same amount of students watch the reality show.
Step-by-step explanation:
To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.
For Mrs. Thorne's:
36 * (2/3) = 24 students
For Mrs. Lombardo's:
30 * (4/5) = 24 students
24 = 24 so they had an equal amount of students from each class watch the reality show.
Are repeating decimals like 34.79 rational numbers?
Answer:
Yes. 34.79 is a rational number because it can be written as a fraction.
Step-by-step explanation:
Hoped this helped.
( Solving Linear Equations in One Variable )
What is the solution of the equation? Show your work.
1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2
Answer:
x=-2
Step-by-step explanation:
Simplify parentheses : 0.5x+0.3=2.1x+9-5.5
Combine like terms : 0.5x+0.3=2.1x+3.5
Isolate the variable : -1.6x=3.2
Divide by -1.6 on both sides : x=-2
Answer:
x=-2
Step-by-step explanation:
1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2
multiply both sides of the equation by 4 to get rid of the fraction 1/4
2x+1.2=12(0.7x+3)-4*5 1/2
distribute 12 into parenthesis
2x+1.2= 8.4x+36-4*5 1/2
multiply -4 with 5 1/2
2x+1.2=8.4x+36-22
subtract numbers
2x+1.2= 8.4x+14
move X's to one side and numbers to another
2x-8.4x=14-1.2
collect like terms
-6.4x=12.8
divide by -6.4 to get x
x= -2
The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please
please help me i don’t understand
Answer:
a
Step-by-step explanation:
PLEASE HELPP IM BEGGING. Which quadrant is point Fin?
A) 1
B) 11
D) IV
Answer:
in the forth qadritic ( iv) please mark me
Answer:
4th quadrant
Step-by-step explanation:
As point F has coordinates x positive and y negative
it lies in 4th quadrant
1.) solve for x: 4x+9=25
2.) solve for x: 5x+12=62
Answer:
1. x=4
2. x=10
Step-by-step explanation:
4x+9=25
Subtract 9 from both sides.
4x+9-9=25-9
>>4x=16
Then, divide 16 by 4.
x=16/4
>>x=4.
5x+12=62
Subtract 12 from both sides.
5x+12-12=62-12
>>5x=50
Divide 50 by 5.
x=50/5
x=10.
Hope this helps! Have a great day!
The quotient of a number, divided by 3, equals-8
Answer:
x / 3 = -8
Step-by-step explanation:
Domain and rangeeeeeee
Answer:
domain: -4 ≤ x ≤ 2
range: 2 ≤ y ≤ 6
Step-by-step explanation:
A painting is 15 in tall and 20 in wide. If it is reducted to a width of 4 in, then how tall will it be?
pleassssssssssssssssssssse HELP QUICKLY PLEASSSSSSE
Answer:
7/6 or A
Step-by-step explanation:
2/3(9-6)-5/6= 7/6
Help will give Brainlest only true answers only please dont guess
Answer: 75%
Step-by-step explanation:
35% of 5 liters is 1.75 liters
1.75 liters + 8 liters = 9.75 liters (only juice)
(5 liters + 8 liters = 13 liters) (the whole thing)
So, 9.75/13 is 75%
Write an equation in standard form of the line that contains the point (-1,4) and is parallel to (has the same slope as) the line y=2x-7
The equation of the line in standard form is
Answer:
slope of line AB = 5
Let the required line be 'l'.
since AB is parallel to 'l'.
so slope of 'l' = slope of AB = 5.
So, the required equation of line which passes through (4,5) and having slope 5 is given by
y - 5 = 5(x - 4).........[using slope point form]
y = 5x - 20 + 5
y = 5x - 15.
Step-by-step explanation:
Help me with this question
Answer:
Is it for a test
Step-by-step explanation:
The points (5, -5) and (7,r) lie on a line with slope - 1. Find the missing coordinate r.
Answer:
r = -7
Step-by-step explanation:
Slope = Change in y/Change in x
-1 = r - (-5) / 7 - 5
-1 = r + 5/ 2
-2 = r + 5
r = -7
-Chetan K
y intercept is -4 and the slope is 10
Answer:
y=10x-4
Step-by-step explanation:
Answer:
y=10x-4
Step-by-step explanation:
Solve this equation by elimination method...
2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)
Answer:
x=2,y=-3
Step-by-step explanation:
detailed explanation showed in the image above
(i) Find i in terms of P and A.
(ii) If 2500 is invested 3 years ago has a present value of 2650, find the rate of interest, i (correct to one decimal place)
Answer:
See belowStep-by-step explanation:
Given formula:
[tex]A=P(1+i/100)^3[/tex](i)
Solve for i:
[tex]A/P=(1+i/100)^3[/tex][tex]\sqrt[3]{A/P}=1+i/100[/tex][tex]\sqrt[3]{A/P} -1=i/100[/tex][tex]i=100(\sqrt[3]{A/P} -1)[/tex](ii)
P = 2500, A = 2650, find i:
[tex]i =100(\sqrt[3]{2650/2500} -1)[/tex]i ≈ 2.0%HELP PLEASE ASAP WILL GIVE BRAINLIEST
Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.
Write an equation in slope-intercept form for total alabers, y, after x months.
Answer:
[tex]y= 11x+35[/tex]
Step-by-step explanation:
Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew [tex]\frac{77}{11} = 7[/tex] trees.
At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees
The equation is then [tex]y= 11x+35[/tex]
What is the vertex of Y=x^2+5x-7
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
A binomial experiment has 4 trials in which p=0. 35. What is the probability of 1 success?.
Answer: 5798
Step-by-step explanation:
Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."
Formula used
For binomial experiment
Probability = [tex]^n C_r p^{r} q^{n-r}[/tex]
[tex]p =[/tex]success rate
[tex]q=[/tex] failure rate
[tex]p+q=1[/tex]
[tex]n=[/tex]Number of trials
[tex]r=[/tex] number of success
According to the question,
Total number of trials [tex]'n' =4[/tex]
Number of success [tex]'r' =1[/tex]
[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]
Substitute the value to get the required probability,
Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]
[tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]
≈ [tex]0.4[/tex]
Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].
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