Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.
Determine the Measure of COD
Determine the measure of POT
Answer:
Step-by-step explanation:
If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.
m COP = m TOD
Given
COP = 11x - 17
TOD = 9x + 11.
Substitute:
11x-17 = 9x+11
11x-9x = 11+17
2x = 28
x = 28/2
x = 14
Get <COD
<COP = 11(14)-17
<COP = 154-17
<COP = 137
<COD = 180-<COP
<COD = 180-137
<COD = 43°
Similarly:
<POT = 180 - <TOD
<POT = 180 - [9(14)+11]
<POT = 180 - 137
<POT = 43°
I am a two digit number
My ones digit is equal to 7minus 3
My tens digit and my ones when added together equals to an even number
What number am I?
a man spent 58% of his income and the amount of money left was $210. Find his income
Answer:
500 $
Step-by-step explanation:
[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]
[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]
[tex]\frac{21}{50}x=210\\[/tex]
[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]
x=500
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Red
1) x- y=-2
4x - y = 1
Answer:
x=1 y=3
Step-by-step explanation
I need help on this will give brainlist
Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division
The number 2 should be added to both sides of the given linear
equation to enable the variable x be made the subject of the equation.
Response:
The first operation that needed to solve the equation is; AdditionWhich sequence of steps are needed to solve the given equation?The given equation is presented as follows;
[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]
The solution of the above equation van be found by making x the
subject of the equation.
Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]
, from which the value of x can be found by multiplying by 11.
First operation;
To remove the 2, we have;
2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]
[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]
[tex]\dfrac{x}{11} = 5[/tex]
Second operation;
[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]
x = 55
The first operation that needs to be needed to solve the given equation
is therefore;
AdditionLearn more about solving equations here:
https://brainly.com/question/26589787
Answer: It would be addition
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need help again please
25 is what percent of 30? (don't forget the % sign and round your answer to the nearest hundredth)
Answer:
83.3% (.3 is recurring)
Question 3/3 Devon opened a bank account with $225. He saves $25
per month. What is the least amount of months it will take him to save $750?
Answer:
21 Months
Step-by-step explanation:
If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.
If Khalid uses 3 liters of paint to cover 8 square meters of wall. How much paint does Khalid need to paint 40 square meters of the wall.
Answer:
15l
Step-by-step explanation:
There are 5 8sq m in 40sq m
total paint is 5*3=15
Whats (2^–1)^3 with the same base but one exponent??
Step-by-step explanation:
[tex] ({2}^{ - 1} )^{3} [/tex]
[tex] {2}^{ - 3} [/tex]
........
Answer:
2^-3
Step-by-step explanation:
When multiplying two exponents with the same base, we basically add the exponents.
What are Two figures that are proportional in size
Which ones no long answer just which one
A,C,D
(going top left to bottom right)
(a) b
(c) (d)
e f
John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?
Answer:
24
Step-by-step explanation:
13+11=24
To eliminate 6X you would Transform 2x by multiplying what number ?
Answer:
-3
Step-by-step explanation:
to eliminate 6x we need the same no. 6x but that should be negative. so
2X × -3 = -6X
and
6X+(-6X)=0
determine the range of the following graph:
Answer:
The range of a function is the set of outputs the function can give
The y-axis on the graph shows as the output of the function
From the graph, we can see that the outputs of this specific function range from 0 to 5
Therefore, the range of this function is: [0 , 5]
I need help asap thx.
Answer:
35
Step-by-step explanation:
because the straight line is 180 so if you add 35+55=90 and 90+90=180
Answer:
35°
Step-by-step explanation:
What I did was look at ∠ABC and know that collinear is a straight line, and that a straight line is equal to 180°. Then I saw that ∠ABD was a right angle or 90° and that ∠BCE was equal to 55°, so I added those 2 together and got 145°. then I subtracted that from the 180°. because that is what a straight line equals and I got 35°. So, I would say ∠DBE is equal to 35°.
What is the value of x in the equation -6x = 5x + 22?
Options:
A. ) –22
B. ) –2
C. ) 2
D. )22
Thank you!
Answer:
D
Step-by-step explanation:
collect like terms and divide by -11
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.
x=
y = f(x)
3
y = g(c)
2
1
1
х
-2 -1
2
3
Answer:
Examine the chart and graph.
On the left is a 5-column table with 10 rows titled Religion in North America. The first column is titled Religion with entries Christianity, Unaffiliated, Judaism, Buddhism, Islam, Hinduism, Other Religions, Folk Regions, and Total. The second column is titled 2010 population with entries 266,630,000; 59,040,000; 6,040,000; 3,860,000; 3,480,000; 2,250,000; 2,200,000, 1,020,000; and 344,530,000. The third column is titled percent in 2010 with entries 77.4, 17.1, 1.8, 1.1, 1.0, 0.7, 0.6, 0.3, and 100.0. The fourth column is titled 2050 Projected Population with entries 286,710,000; 111,340,000; 5,920,000; 6,080,000; 10,350,000; 5,850,000; 6,540,000; 2,630,000; and 435,420,000. The fifth column is titled percent in 2050 with entries 65.8, 25.6, 1.4, 1.4, 2.4, 1.3, 1.5, 0.6, and 100.0. On the right is a pie chart titled Religions Practiced in Central America. Christianity is 95.86 percent, Agnostic 2.42 percent, Native Religions 0.99 percent, Atheism 0.15 percent, Spiritism 0.13 percent, and Other is 0.44 percent.
Which is the
Step-by-step explanation:
Write thirty eight thousandths as a decimal
Answer:
0.0038
Step-by-step explanation:
The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many student clubs are boys?
Answer:
14
Step-by-step explanation:
The quotient of a number and 3 is less than 24
Answer:
6 is the answer
Step-by-step explanation:
Is -4/-5 positive or negative
Answer:
Positive
Step-by-step explanation:
A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].
I hope this helps!
Answer:
i believe its positive because 2 negatives make a positive
ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each angle?
Answer:
80°, 40° and 60°
Step-by-step explanation:
Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)
so we will have an equation of
180°=2x + x + (20°+x)
160°=4x
40°=x
so the second angle is 40° as it is represented by just one X
therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!
what does 6 x 9 equal?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Is 0.040040004... a rational number? Explain your reasoning.
Choose the correct answer below.
Answer:
The quick answer: No.
Step-by-step explanation:
(pinquancaro)
Given : Number 0.040040004.....
To find : Is the number is rational or irrational ?
Solution :
Rational number is defined as number written in form of p/q where p and q are integers and q is non-zero.
Rational number is terminating and repeating.
Irrational number is defined as number which cannot be written in form of p/q.
Irrational number is non-terminating and non-repeating.
The number given is 0.040040004..... is non-terminating and non-repeating.
Therefore, The number 0.040040004..... is an irrational number.
If a seed is planted, it has a 70% chance of growing into a healthy plant.
If 8 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%
Step-by-step explanation:
Binomial Distribution
Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.
It follows that p+q=1, or q=1-p.
Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:
[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]
Where :
[tex]\displaystyle {n \choose x}[/tex]
Is the number of combinations, calcula ted as follows:
[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]
A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.
The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.
Apply the formula:
[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]
[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]
[tex]\displaystyle P_{4} = 0.1361[/tex]
Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%
Which equation is true
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.
if there is 99 apples and i take one of them how many apples are there now
What is the factored form of this expression?
-9x^3 - 12x^2 - 4x
A. x(3x - 2)(3x + 2)
B. -x(3x + 2)^2
C. x(3x - 2)^2
D. -x(3x - 2)(3x + 2)
Answer:
B
Step-by-step explanation:
Given
- 9x³ - 12x² - 4x ← factor out - x from each term
= - x(9x² + 12x + 4) ← perfect square
= - x(3x + 2)(3x + 2)
= - x(3x + 2)² → B
-9x^3-12x^2-4x
Factor out -x from the expression
-x×(9x^2+12x+4)
Using a^2+2ab+b^2=(a+b)^2 Factor the expression
-x×(3x+2)^2
now we do the same thing only different way ok
9x^2+12x+4
write the number in the exponential form with an exponent of 2
3^2 x^2+12x+4
write the expression as a product with the Factors 3x and 2
3^2 x^2 +2×3x×2+4
write the number in the exponential form with an exponent of 2
3^2 x^2+2×3x×2+2^2
Multiply the terms with equal exponents by multiplying their bases
(3x)^2+2×3x×2+2^2
Using a^2+2ab+b^2=(a+b)^2 Factor the expression
(3x+2)^2
Solution: -x×(3x+2)^2
answer:B
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