Answer:
Let's take the angle LEFT to p to be "x".
80+30+x = 180
110+x = 180
x = 70
Finding p:
90+70+p = 180 (REASON: linear pair)
160+p = 180
p = 20
THEREFORE, THE VALUE OF 'p' IS 20°
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.
Answer:
62
Step-by-step explanation:
Let the two digit number be XY
X+Y = 8
10X+Y - (10Y+X) = 10Y+X+10
10X+Y-10Y-X=10Y+X+10
8X-19Y=10
8(8-Y)-19Y=10
64-8Y-19Y=10
27Y=54
Y=2
The number is therefore 62.
The required two-digit number with sum of digits as 8 is 62.
Let us say the number is xy
What is the place value of x and y in xy?
The place value of digits, x and y in the number xy are 10 and 1 respectively.
So the number xy can be written as 10x+y
When the digits are reversed
The new number or reversed number obtained will be yx
So the new number yx can be written as 10y+x
Since the difference between the original number and the reversed number is 10 more than the reversed number.
So, (10x+y) - (10y+x) = 10 + (10y+x)
8x-19y =10.......(1)
Since the sum of digits is 8
So, x+y = 8......(2)
By solving equations (1) and (2) we get
x=6, y=2
So, the required number is xy i.e. 62.
Therefore, The required two-digit number with sum of digits as 8 is 62.
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Geena is meeting her brother at a cafe on Bradford Rd and Blanco Rd. She is currently on the corner of Lafayette Ave. and Blanco Rd.
Her brother tells Geena that the shortest route is straight down Blanco Rd.
Geena disagrees. She thinks the shortest route is down Lafayette Ave., turn onto Smith St., then on Blanco Rd. until she reaches the cafe.
Who is correct? What is the difference in the two routes?
Answer:
THEY ARE BOTH IN DIFFERENT PLACES??
Answer:
.25
Step-by-step explanation:
help me out I only need the second part
Answer:
Step-by-step explanation:
when both are 0, because that means that the graph goes trough the origin so the x-intercept is at (0,0) and the y-intercept is at (0,0)
hii, please help me w this :(( tysm
Answer:
7. y
=
−
1
/2
x + 4
8. y= (0,4)
Step-by-step explanation:
7. the slope is -1/2 and the y intercept is 4
8. so basically, the y intercept is when y is zero, which makes this one (0,4)
HOPE THIS HELPS HAVE A GREAT DAY!!! IM procrastinating chem doing this lolz
I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle works.
Answer:
An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.
Step-by-step explanation:
geniuses please answer this.....step by step explanation
Logarithm base 8 of 512 is 3
Answer 3
i cant figure out the answer
Answer: 3/10
Step-by-step explanation: times
Answer:
18
Step-by-step explanation:
[tex]\frac{1}{5}[/tex] × 60 = 12 ← number who chose basketball
[tex]\frac{1}{2}[/tex] × 60 = 30 ← number who chose volleyball
That is a total of 12 + 30 = 42 students
Since the remaining students chose soccer, then
60 - 42 = 18 ← number who chose soccer
Square root -80 by using imaginary unit I
find the mean of the following numbers 7 21 2 17 3 13 7 4 9 7 9
Answer:
9
Step-by-step explanation:
sum of the terms
mean=------------------------------
number of the terms
The mean of the numbers is 9.
Mean is a measure of central tendency. It is the average of a set of numbers. The value of the mean of a set of numbers can be determined by adding the given numbers together and dividing it by the total number.
Mean = sum of numbers / total numbers
Sum of numbers = 7 + 21 + 2 + 17 + 3 + 13 + 7 + 4 + 9 + 7 + 9 = 99
Total number = 11
Mean = 99 / 11 = 9
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first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.
Answer:the greatest amount of children that can go is 30
Step-by-step explanation:
$20 x 30= $600
Solve for r using literal equations methods
Answer:
option 4
Step-by-step explanation:
PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Which number can fill in the blank below?
4.3 < _________ < 4.5
A.440%
B.44%
C.4.4×10^1
D.4.4%
Answer:
A
Step-by-step explanation:
440 percent is the same thing as 4.4
Help! I’m confused. Select all the rates that are unit rates
Answer:
The ones you have chosen are correct
Step-by-step explanation:
:)
shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get
Answer:
Shenika invites 7 friends and each one gets 5 cookies.
= 7*5
= 35
Based on above answer, Shenika will need a total of 35 cookies for all.
-----------------------------------------------------------------------------------------------------------
Each box has 12 cookies.
Total cookies = 35
Let the number of boxes be x.
12*x = 35
x = 35/12
x = 2.9
This means she would need 3 boxes.
Please help!
The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?
A. $58
B. $68
C. $78
D. $340
Answer:
the answer is 68 give the other person brainliest
Step-by-step explanation:
Evaluate the expression when m = -2
Answer:
-22
Step-by-step explanation:
(Is that Aleks?)
Plug it in.
(-2)^2 + 9(-2) - 8
= 4 + (-18) - 8
= -14 - 8
= -22
In the statement 10 + 0 = 0 + 10 how would you describe the zero (0)?
Using the function in example 4, what is the y value (output) when x= -3?
Answer:
Step-by-step explanation:
y=x^2+1
y=(-3)^2+1
y=9+1
y=10
(x,y)-> (-3,10)
The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 7:19. There are 38 gallons of gasoline. How many ounces of oil are there? Group of answer choices
Answer:
14
Step-by-step explanation:
Let y represent the ounces of oil present
7/19 = y/38
19 y= 7×38
19y= 266
y= 266/19
= 14
Hence there are 14 ounce of oil present
help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes
Answer:
A
Step-by-step explanation:
John can mow the same lawn in 3 hours.
In 1 hour he can mow 1/3rd of the lawn.
In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.
Together they can mow the lawn in 6/5 hours=1.2 hours.
I hope this helped, please mark Brainliest, thank you!!
Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
The correct option is (C).
What is a algebra ?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
John can mow his lawn in 3 hours.
Julie can mow same lawn in 2 hours.
In 1 hour = 1/3rd of the lawn.
In 1 hour, together they can mow
= (1/2+1/3)
=5/6th of the lawn.
Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
Learn more about Algebra here:
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
19
Help needed
Answer:
x[tex]x=\sqrt{19^2-10^2}=\sqrt{361-100} =\sqrt{261} \approx16.15549\\\approx16.16[/tex]
Step-by-step explanation:
x=\sqrt{19^2-10^2}=\sqrt{361-100} =\sqrt{261} \approx16.15549\\\approx16.16
The requried measure of length x in the right triangle is 16.15 units.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
For the given right-angle triangle,
Applying the Pythagoras theorem,
hypotenuse² = perpendicular² + base²
19² = 18² + x²
x = √19² - 10²
x = 16.15
Thus, the requried measure of length x in the right triangle is 16.15 units.
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What is the APR on a loan with a monthly periodic rate of 1.75%
100 points
whats 9 times 3 plus 3 divided by 2
Answer:
hi
Step-by-step explanation:
28.5
Answer:
15
Step-by-step explanation:
I need help on this! Can someone help me???
Answer:
Just place a point on (2,-1) and another on (-2,-2)
this should create the line you need
Find the inverse of the linear function.
anyone pls?
Answer:
A
Step-by-step explanation:
inverse means flipping the signs and the numbers of the function
Answer: x - 10/5 = y
BRAINLIEST TO FIRST RIGHT NO WORK
there are 59 balls of 4 different colors in a box. If 51 balls are taken then at least one ball of each color appears among the taken balls What is the minimum number of balls that must be taken so that three different colors appear among the taken balls
Answer:
Im pretty sure its 77
Step-by-step explanation:
Answer: its 32
Step-by-step explanation:
State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people
Answer:
144
Step-by-step explanation:
The independent variable in the linear relationship is the number of people.
The dependent variable in the linear relationship is the cost of the dinner.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of dinner for 3 people = $42
Cost of dinner for 7 people = $98
The cost of dinner for one person = $14
Now,
The linear function for this relationship.
f(x) = 14x
Where x is the number of people and f(x) is the cost of the dinner.
Now,
The number of people is the independent variable.
The cost of dinner is the dependent variable.
Thus,
Independent variable = Number of people/
Dependent variable = Cost of the dinner.
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Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the minimum number of hours, n, that annie should work as a babysitter to earn enough to buy a coat?
a 12 + 6n ≤ 30, so n ≤ 3
b 12 + 6n ≥ 30, so n ≤ 3
c 6n ≥30 + 12, so n ≥ 7
d 6n ≤30 + 12, so n ≤ 7
Answer:
The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.
explanation:
I'm bad with explaining things, but I'll try my best to explain why this is the right answer.
12 + 6n ≥ 30, so n ≤ 3
let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).
Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.
Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.
I hope this helps, and sorry if my explanation is hard to understand lol.