Answers
Step-by-step explanation:
2.
(13y)° and (8x+y)° are supplementary angles on a straight line therefore:
13y+8x+y=180°
14y+8x=180°——equation 1
Again,
(13y)° and (20x+3y)° are corresponding angles therefore are equal so:
13y=20x+3y
13y-3y-20x=0
10y-20x=0——equation 2
Now we find the value of x and y using the system of equations
Thus,we solve :
14y+8x=180°
10y-20x=0
Solving them,x=5 and y=10
3.We use the same approach for this
3(x+y)° and 5x are corresponding angles and are equal therefore:
3x+3y=5x
3x-5x+3y=0
-2x+3y=0——equation 1
Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:
5x+4x-9=180
9x-9=180°
9x=180+9
9x=189°
x=21
Plug in the value of x into equation 1 for y
-2x+3y=0
-2(21)+3y=0
-42+3y=0
3y=42
y=42/3=14
So x is 21 and y is 14
Related Questions
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31. If each bottle costs the same amount, how much is each bottle of juice?
Answers
Answer:
cost of each bottle of juice is $0.77
Step-by-step explanation:
Let the cost of 1 bottle be $x
multiplying both side by 3
then cost of 3 bottle will be 3*$x = $3x
given that
total cost of 3 bottles = $2.31
thus
3x = 2.31
dividing both side by 3
x = 2.31/3 = 0.77
Thus, cost of each bottle of juice is $0.77
Answer:
$0.77 for each bottle of juice
Step-by-step explanation:
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
So,
2.31/3 = 0.77
Thus, $0.77 for each bottle of juice
-TheUnknownScientist
Margo can make 75 smoothies in 1.5 hours. How
many smoothies can Margo make in one hour?
Answers
Answer: 50 smoothies in one hour
Step-by-step explanation:
1.5 / 3 = 0.5
75 / 3 = 25.
0.5 x 2 = 1.
25 x 2 = 50.
Margo can make 50 smoothies in One hour.
Hope this helps!
Answer:
Margo can make 50 smoothies in one hour.
Step-by-step explanation:
Let's look at the hours first. Margo can make 75 smoothies in 1.5 hours. 1.5 divided by 3 is 0.5. Then, 0.5 x 2 is 1. Now that we have the number of hours we need (1 hour), we have to do the exact same thing to the amount of smoothies.
75 divided by 3 is 25. Then, 25 x 2 is 50 smoothies.
So, Margo can make 50 smoothies in one hour.
Hope this helped!
the order of the surd 7√8
Answers
Hello,
[tex]7 \sqrt{8} = \sqrt{7.7.8} = \sqrt{392} [/tex]
Býe býe.
can u please answer the question
Answers
Answer: 6 pieces
=======================================================
Explanation:
3/4 = 6/8 after multiplying both parts by 2
We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces
Note how 6*(1/8) = 6/8
Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.
Answer:
6 pieces
Step-by-step explanation:
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4
What is the remainder when (4x^3 + 3x^2 - 17x - 12) is divided by (x - 1)?
Answers
Answer:
remainder is 4x^2+7x-10- 22/x-1
Step-by-step explanation:
Yay so, Which one of these answers is part of pi?
5.6
3.14
2.89
7.77
None of these
(I know the Swansea but y’all fill in the blank to this phot lol anything goes its not meant to be dirty answers tho) lol
Answers
Answer:
3.14
Step-by-step explanation:
Because pi equals to 3.14 and more numbers
EXPLAIN HOW TO PARTITION SHAPES (sorry for caps lock)
Answers
Answer:
Partition shapes is to create equal shares by partitioning one whole area into small same-size areas.
To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?
Answers
Answer:
2+3.25x
Step-by-step explanation:
What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}
Answers
Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
So tell me yáll real name
mines is Shakira
Answers
Answer:
My name is Melanie
Step-by-step explanation:
Answer:
Mine is Aday but pretty much everybody calls me Aya
Step-by-step explanation:
Cups are sold in packages of 8. Napkins are sold in packages of 12. What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins? Hint**- What will you need to find GCF or LCM?
Answers
Answer:
24 packages
Step-by-step explanation:
Given
Represent Napkins with N and Cups with C
[tex]C = 8's[/tex]
[tex]N = 12's[/tex]
Required
Determine the smallest amount of N and C that will be equal
To do this, we simply calculate the LCM of N and C as follows:
List out the multiples of each..
[tex]C = 8,16,24,30....[/tex]
[tex]N = 12,24,36,48...[/tex]
The common multiple between both is 24.
Hence, 24 packages of N and C answers the question
Which of these methods of paying for college does NOT need to be repaid?
Stafford loans
Consolidation loans
Work-study
Private loans
Answers
Answer:
Work study
Step-by-step explanation:
I did that question.
Given g(x)=-3x+1 find g(2) please i will give brainlest
Answers
Answer:
-6+1
-5 :)
Step-by-step explanation:
2x=3x+1
-3x -3x
-1x=1
———
-1 -1
X=-1
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?
Answers
Answer: 33.6 feet
Step-by-step explanation:
Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.
A larger, similar rectangle has a length of 12 feet. The width will be:
= 12 / 2.5
= 4.8 feet
The perimeter of the larger rectangle will then be:
= 2(Length + Width)
= 2(12 + 4.8)
= 2 × 16.8
= 33.6 feet
Multiply
[tex](2 {x}^{2} + 3x - 7) \times (3 {x}^{2} - 5x + 14[/tex]
Answers
The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she
sold $4,500 worth of stocks. How much did she make last week in commission? If she averages that
same amount each week, how much did she make in commission in 2011?
Answers
Answer:
a). Nadia made a total of $825 last week in commission sales
b). The total amount Nadia in commission in 2011=$42,900
Step-by-step explanation: Total amount (2011)=Average weekly commission × number of weeks in 2011 where; Average weekly commission=$825 number of weeks in 2011=52 replacing; Total amount (2011)=(825×52)=42,900 . The total amount Nadia in commission in 2011=$42,900.
can someone help me plz
Answers
Answer: The answer is 1 and 2/3
Hope this helps you bye
what is 1093 + 28478
Answers
Answer:
29571 is the answer welcome!!
somebody help.. im so lost!!
Answers
What is the slope of the line?
Answers
Mr. Vaughn set aside $200 of his income each month for years toward home repairs. He spent 30% of the money he set aside to replace a broken water heater. How much of the money he set aside did Mr. Vaughn have left after paying for the water heater?
Answers
Answer:
The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.
Step-by-step explanation:
In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:
$200*30%=$60
Now, you have to subtract the amount that represents the 30% from the amount he set aside:
$200-$60=$140
According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.
When is Cheryl's birthday?
Answers
Answer:
july 16
Step-by-step explanation:
NiCole Spent 15% of her day doing homework. How many hours did she spend on her homework?
Answers
Answer:
4 hour of her day
Step-by-step explanation:
solve the inequality
2(4x-3)>-3(3x)+5x
Answers
8x -6>_ -9x + 5x
8x-6>_ -4x
12x>_6
x>_ .5
the answer is the first one
Renee spent 1/8 of the day landscaping around the house. She spent half of the time pulling weeds. What fraction of the day did rehne spend pulling weeds?
Answers
Answer:
The fraction of the day Rehee spent pulling weeds = 1/16
Step-by-step explanation:
Let us take the fraction representing a whole day to be a whole number - 1
Renee spent 1/8 of the day landscaping around the house.
This means she spent 1/8 X 1 landscaping around the house = 1/8
She spent half of the time pulling weeds.
This means she spent 1/2 of 1/8 of 1 landscaping around the house = 1/16
1/2 X 1/8 X 1 = 1/16
The fraction of the day Rehee spent pulling weeds = 1/16
Roger spent 22 minutes on his math homework and 25.08 minutes on his spelling
homework. He spent percent more time on his spelling homework.
Answers
Answer:
114%
Step-by-step explanation:
okay, so we know he spent 22 minutes on math and 25.08 on spelling.
m=22
s=25.08
so to find a percent, you have to divide s/m
s/m= 25.08/22
s/m= 1.14
because this is a decimal, we have to convert it to a percent
114%
to check the answer, multiply 22 times 114%
the answer is 25.08, so we know we got the right answer.
The ratio of the number of red cards to the number of black cards in a deck is 3:10
2 more cards are added to the deck.
The ratio of red to black cards in the deck is now 1:3
How many black cards are in the deck?
Answers
Answer:
Then the black cards=12
Step-by-step explanation:
N of red=3
N of black=10
and we have ratio 3:10
think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3
⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3
⇒add 2 to black, the ratio will be 3:12 = 1:3
Then the black cards=12
hope this helps!
Answer:
Either
(1) there were originally 60 black cards, and 2 red cards were added, or
(2) there were originally 20 black cards, and 1 red card and 1 black card were added.
Step-by-step explanation:
The ratio of red cards to black cards is 3:10.
Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as
3k/10k
After adding 2 cards, the ratio of red cards to black cards becomes 1:3.
There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.
Possibility A: add two red cards
(3k + 2)/(10k) = 1/3
10k = 9k + 6
k = 6
3k/10k = 3(6) / 10(6) = 18/60
There were originally 60 black cards.
Possibility B: add 1 red card and 1 black card
(3k + 1)/(10k + 1) = 1/3
10k + 1 = 9k + 3
k = 2
3k/10k = 3(2) / 10(2) = 6/20
There were originally 20 black cards.
Possibility C: add two black cards.
(3k)/(10k + 2) = 1/3
10k + 2 = 9k
k = -2
3k/10k = 3(-2) / 10(-2) = -6 / -20
We cannot have a negative number of cards.
No solution.
Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.
a graph passes through the points (0,2),(1,3), and (2,4). Does this graph represent a linear function or a non linear function?
Answers
9514 1404 393
Answer:
linear
Step-by-step explanation:
The slope of the line between the first pair of points is ...
m = (y2 -y1)/(x2 -x1)
m = (3 -2)/(1 -0) = 1/1 = 1
The slope of the line between the second pair of points is ...
m = (4 -3)/(2 -1) = 1/1 = 1
The slopes are the same, so the points are on the same line. The graph is that of a linear function.
A line that passes through the point -4, -3 and 2,6
Answers
Answer:
The equation is;
2y = 3x + 6
Step-by-step explanation:
We start by calculating the slope of the line
m= y2-y1/x2-x1
m = (6+3)/(2+ 4) = 9/6 = 3/2
The point slope form would be;
y-y1 = m(x-x1)
Let us use the point (-4,-3)
Thus, we have
y + 3 = 3/2(x+ 4)
2y + 6 = 3x + 12
2y = 3x + 12-6
2y = 3x + 6
The variables a and b represent the legs of a right triangle. The variable c represents the hypotenuse. Use the Pythagorean theorem to find the missing side. Write exact answers using radicals when necessary. A = 3, c = 5, find b.
Answers
Given:
a and b are two legs of a right triangle and c is hypotenuse.
a=3 and c=5
To find:
The value of b.
Solution:
According to the Pythagoras theorem,
[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]
Using Pythagoras theorem, we get
[tex]c^2=(a)^2+(b)^2[/tex]
Now, putting a=3 and c=5, we get
[tex]5^2=(3)^2+b^2[/tex]
[tex]25=9+b^2[/tex]
[tex]25-9=b^2[/tex]
[tex]16=b^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{16}=b[/tex]
[tex]\pm 4=b[/tex]
The measure of side of a triangle cannot be negative. So, only value of b is 4.
Therefore, the value of b is 4.
