Answer:
Let X be other interior opposite angle of a △XYZ.
Let Y be the third angle.
Exterior angle is equal to sum of interior opposite angles.
120
o
=30
o
+∠X
⇒∠X=90
o
Now, Sum of interior angles of a triangle is 180
o
⇒90
o
+30
o
+∠Y=180
o
⇒∠Y=180
o
−120
o
=60
o
Step-by-step explanation:
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the independent and dependent variables.
1) You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times
during your trip.
A) does not describe a function
B) Independent variable, distance traveled; dependent variable, time
C) Independent variable, time; dependent variable, distance traveled
actont Writon statement that describes how one
Answer:
C) Independent variable, time; dependent variable, distance traveled
Explanation:
An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this).
Correct answer is C : Independent variable, time; dependent variable, distance traveled actont Writon statement that describes how one.
What is Independent variable?The independent variable exists as the variable being regulated in the problem, and the dependent variable exists as the variable that varies because of this control.
It exists a variable that stands alone and isn't altered by the other variables you exist trying to measure.
An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this)To learn more about Independent variable refer to:
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If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is
=====================================================
Explanation:
Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.
According to the table, there are...
A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".
Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".
The probability we want is therefore 4/26 = 2/13
The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154
See attachment for the sample space of a roll of two dice.
From the attached sample space,
The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.
So, we have:
[tex]n(A) = 26[/tex]
[tex]n(A\ n\ B) = 4[/tex]
The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:
[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]
This gives
[tex]Pr = \frac{4}{26}[/tex]
[tex]Pr = 0.154[/tex]
Hence, the probability is 0.154
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There are 163 girls and 157 boys in school. 27 girls and 33 boys play soccer after school. What percentage of students play soccer after school?
Answer: The answer is to this math question is 18.75% of the students play the soccer after school.
Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:
Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]
Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.
Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]
Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.
Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.
I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.
Which expression is equivalent to 45 divided by (2 - x)
Answer:
45
---------
(2 - x)
Step-by-step explanation:
That would be:
45
---------
(2 - x)
Also valid: 45/(2 - x)
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
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What is the average number of 20 14 28 18
Step-by-step explanation:
Avg = 20 + 14 + 28 + 18 /4
Avg = 80/4 = 20
three-quarters the product of two numbers x and y
Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
someone please help me on this anyone pls no link :(
9514 1404 393
Answer:
The correct answer is marked. (8·3)
Step-by-step explanation:
The order of operations requires that you start with by evaluating expressions in parentheses. Within parentheses, the order of operations applies, so you need to do multiplication before addition.
In this expression, the multiplication operation inside the parentheses is performed first. That is, you first compute 8·3.
_____
Additional comment
After that, you do the subtraction, to get ...
11 ÷ (-12) +2⁴
Then the exponential term is evaluated, and you have ...
11 ÷ (-12) +16
The division will result in a fraction, making it ...
(-11/12) +16
And, finally, the addition gives you ...
15 1/12
For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?
Can someone give more explanation
You just have to underline the word that connects two sentences .
for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.
1.= under line so
2.= under line yet
3.= under line but
4.= under line so
Henry can run 2.5 miles in 1/4 of an hour if he maintains the same pace how many miles can Henry run in 1 1/2 hours
Answer:
Since Henry runs 2.5 miles every 15 minutes, he runs 5 miles in 30 minutes, 7.5 miles in 45 minutes, and 10 miles every 60 minutes.
explanation: just trust me
Answer:
60 minutes
Step-by-step explanation:
I hope this would help
Evaluate. 3⋅23+52−18÷6 need help ASAP
The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.
The given numerical expression would be below as:
⇒ 3⋅23 + 52 − 18 ÷ 6
Using the PEMDAS rule in the above expression,
⇒ 3⋅23 + 52 − 18 ÷ 6
Apply the multiplication operation,
⇒ 69 + 52 − 18 ÷ 6
Apply the division operation,
⇒ 69 + 52 − 3
Apply the addition operation,
⇒ 121 − 3
Apply the subtraction operation to get
⇒ 118
Therefore, the evaluated value of the given expression would be 118.
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Anna can jump 35 times in one minute. This is
70% as many as Alexander can jump in one
minute. How many times can Alexander jump in
a minute?
Answer:
Alex can jump 50 times in one minute.
Step-by-step explanation:
1.) Start off by creating your equation.
It says that Anna can jump 35 times in one minute. It continues to say, that this value IS 70% as many as Alexander can jump in one minute. Thus, your equation should look like this:
x represents the number of jumps Alexander can do in one minute
35 = 0.70x
2.) Solve for x
35 = 0.70x
35/0.70 = x
50 = x
I hoped this helped. Good luck!
Solving an Inequality
Quick
Check
15
To solve the inequality
m/-7<14, what should be done to both sides?
O Divide both sides by 14.
Divide both sides by -7.
O Multiply both sides by 14.
O Multiply both sides by - 7
Answer:
D. Multiply both sides by -7
Step-by-step explanation:
So solving would look like this
m/-7 < 14
m > -2
Remember when multiplying by a negative the sign flips, hope that helps :)
f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=
we have f (x)= -3x + 10
so f(-5)= (-3)(-5) +10 = 15 + 10 = 25
we have g (x) = x^2 - 7x
so g(2)= 2^2 - 7.2 = 4 - 14 = -10
we have f (x)= -3x + 10
so f(4m)= -3(4m)+10 = -12m + 10
ok done. Thank to me :>
toby used 4 inches of tape to wrap a gift how much tape will he need to wrap 5 more of the same gift?
Answer:
20
Step-by-step explanation:
4*5 = 20%
My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
cups of sugar. How many cakes cun she bake if she has 7 1/3 cups of sugar?
A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d
Answer:
d = 22
Step-by-step explanation:
Substitute given slope and A to the equation y = mx + b to find b
y= mx + b
10 = 4.2 +b
10 = 8 + b
10 - 8 = 8 - 8 + b
b = 2
Then we have y = 4x + 2 when we substitute b and m.
They give x value of point B, we can plug it in and find y value which is d in this question.
y = 4x + 2
y = 4.5 +2
y = 22
Therefore, d = 22
Select the interval where h(x)< 0.
Choose 1 answer:
(А) -3.5
(в) -2 < x < -1
(C) 2.5
Answer:
Step-by-step explanation:
C
Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
1.2×2.8
= (2-0.8)(2+0.8)
= (2)^2 - (0.8)^2
= 4 - 0.64
= 3.36
Answer:3.36
Hope it helps.
Do comment if you have any query
Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?
Answer:
y - intercept = 5
Step-by-step explanation:
Equation: y = mx + b
Input the given values
3 = -1(2) + b
3 = -2 + b
5 = b
-Chetan K
I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?
We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.
First, you pick a number between 0 and 10, let's say that the number is N.
Then multiply it by 5 and add 7, so we get:
(5*N + 7)
Now we multiply this by 2
2*(5*N + 7)
Now we add another number between 0 and 10, let's call it M.
We need to add that to the product, and then subtract 6, and that will be equal to 45.
2*(5*N + 7) + M - 6 = 45
Now let's simplify the expression:
2*(5*N + 7) + M = 45 + 6 = 51
10*N + 14 + M = 51
10*N + M = 51 - 14 = 37
10*N + M = 37
With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]
So the only two solutions are:
N = 3 and M = 7
such that:
10*3 + 7 = 30 + 7 = 37
So the two numbers you picked are 3 and 7.
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let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?
The value of P - Q as described in the question above is; P -Q = 2.
According to the question;
P = number of primes less than 100Q = number of primes less than 90Since, we are required to determine what the value of P-Q is;
The value of P-Q is simply the number of primes between 90 and 100.
The prime numbers between 90 and 100 are; 91 and 97.
Therefore, P - Q = 2.
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4 friends share 5 pizzas equally how much pizza did each friend get
Answer:
10
Step-by-step explanation:
deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40
Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?
Answer:
$1343
Step-by-step explanation:
The equation would be
x= 1580 (1-0.15)
x represents how much he actually pays.
1-0.15=0.85.
1580×0.85=1343
There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?
Answer:
N=29.28.27=29484
(sorry if this didn't help)
Step-by-step explanation:
-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
đối với hai bài toán ước lượng cho u p
Chuong2: ƯỚC LƯỢNG THAM SỐ, môn thống kê ứng dụng
domain for f(x) = -0.25(x − 4) 2 − 6
Answer:
The domain will be (-8,8), {x|x E R}
Step-by-step explanation:
The -8,8 has to be sideways on the right. Thats the answer.