One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
Answers
Hey there!
To find our answer, we need to set up a system of equations. Remember, supplementary angles equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)
A=2B-15 (one angle is 15 degrees less than twice the other)
A+B=180
We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with substitution.
Let's solve with substitution!
2B-15+B=180
3B-15=180 We combine our Bs.
3B=195 We add 15 to both sides.
B= 65 We divide both sides by three.
Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.
180-65=115
Our two angles are 65° and 115°.
We can also check this with the original problem.
If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!
I hope this helps! Have a great day!
Related Questions
Carrie the chef has 10 orders she needs to finish In 24 hours. The orders: A cake which will take a hour,a box of cookies which will take 45 minutes,a dozen donuts which will take 34 minutes,5 loaves of bread which will take 3.4 hours each,and 2 boxes of candy which will take 13 mins. How many minutes or hours will she have left over to relax?
Answers
Answer: Carrie the chef will have 268 minutes left over to relax.
Step-by-step explanation: Add up how many minutes each pastry will take, and convert hours into minutes. So, you will add 45+34 which is already at 79 minutes, then you do 3.4x5 (3.4 hours for 5 loaves of bread) which is 17 hours, converted into minutes is 1020 (17x60), then add the 13 minutes for the 2 boxes of candy. You'll get 1172, then you subtract it from 1440 (how many minutes there are in 24 hours) and you get 268! Therefore, she gets 268 minutes left!
Hope this helps!
The rate of planting the grass is ` x per square meter. Find the cost of planting the grass on a
rectangular lawn whose length is y meters and breadth is z meters
a) x(y+z) b) x+y+z c) xyz d) 2x(y+z)
Please answer fast. will mark as a brainliest .
Answers
Step1: Find the area of the triangular lawn
Given, base of the triangle is y metres and the height is z metres
Area of the triangle =
2
1
× base × height
Therefore, area of the triangular lawn =
2
1
yz metre
2
.
Step 2:Find the cost of planting the grass
Rate of planting the grass is Rs. x per square metre.
Therefore, the cost of planting the grass on a triangular lawn =cost per square meter × area of the triangular lawn
=x×
2
1
yz=
2
1
xyz
Hence, the cost of planting the grass on a triangular lawn whose base is y metres and height is z metres is Rs.
2
1
x y z.
Step-by-step explanation:
Miley went to the store with a $10 bill. She went to get 8 jumbo dill pickles for her family. If she spent the whole $10, what was the cost of each jumbo dill pickle?
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answer is 1.25
because 10 divided by 8 equals 1.25
Help please, I need help with this math
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2) -2
Sammie purchased a soccer ball for $12.99 . Her total was . $14.17
Sammie paid $
in sales tax.
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Answer:
the sales tax is $1.18
Step-by-step explanation:
Recent statistics have reported that the total area of Brazil is about 3 × 10^6 square miles, while the total area of Japan is about 2 × 10^5 square miles.
Create and solve an equation that can be used to find about how many times larger the area of Brazil is than the area of Japan.
Answers
Answer:
195500000
Step-by-step explanation:
Population density
Population density of Brazil and Peru are equal
Thus,
Total population of any area million square kilometer people per square kilometer
miilion
Brazils area = 3 x 10^6 = 3000000 square miles
Japans area = 2 x 10^5 = 200000 square miles
Now we can divide Brazils area by Japans area, to find out how many times bigger Brazil is than Japan:
3000000 / 20000 = 15
Brazil is 15 times larger than Japan.
SHA 14-inch pepperoni pizza is sliced into 8 equal pieces. One slice contains 352 calories. Write a division equation in the "Show Your Work" box and then solve algebraically to find how many calories, c, there are in the whole pizza. Put your final answer in the space provided.
Answers
Answer:
2816 calories
Step-by-step explanation:
The number of calories in the whole pizza, c, can be found by multiplying the number of calories in one slice by the total number of slices in the pizza. Since the pizza is sliced into 8 equal pieces, the total number of slices in the pizza is 8.
So, the equation is:
c = 352 calories/slice x 8 slices
We can simplify this equation by multiplying 352 by 8:
c = 2816 calories
Therefore, there are 2816 calories in the whole pizza.
Answer: 2816 calories
Step-by-step explanation: That's it :D
answer options
2
7
8
3
Answers
BECAUSE
90 - 40 = 50 (6x = 6 x a number) +2 6x8+2 6x8=48+2 =50
1 million to the power of 10
Answers
Step-by-step explanation:
The answer of 1 million to the power of 10
= 1e+60
Compare the wait times in the box plot.
(Please note that I just need the help with the IQR part.)
Answers
Answer:
Step-by-step explanation: S = 6-12
These are your time rage's
W = 8-14
subtract both ranges 12-6 and 14-8 are both 6 so ur IQR time is 6
I believe this correct, hope this helps
The school orchestra has 25 woodwinds, 15 percussionists, 10 strings and 50 brass instruments.
Select the portion of the instruments that are percussion. Select all that apply.
(0.15) (15%) (3/20) (1.5) i need this asap
Answers
Answer:
0.15, 15%, 3/20
Step-by-step explanation:
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answers
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
PLEASE FIGURE OUT THIS QUESTION FAST!
Answers
Step-by-step explanation:
You should multiply the plots by the dec.
Answer: multiply the plots by the dec.
Step-by-step explanation: Was this helpful hopfully it was.
1. Using image A, draw Polygon B, by using the y-axis as the line of reflection.
2. Using the image of B, draw Polygon C, by using the x-axis as the line of reflection.
3. Using the image of C, draw Polygon D, by using the x-axis as the line of reflection.
Was I correct?
Answers
yes it looks good. The only thing that is differnet from them is they are backwards. So it is right is this for a test or what and what grade are you in.
The table shows the ratio between the number of packets and the number of seeds of a certain plant contained in them: Number of packets Number of seeds 5 10 6 12 7 14 Which graph shows equivalent ratios? A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 2 and 2, 4 and 3, 6. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 2 and 2, 2 and 3, 2. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 1 and 2, 2 and 3, 3. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 2, 1 and 4, 2 and 6, 3.
Answers
Answer:
the answer is 2
Step-by-step explanation:2 is the answer
HELP ME PLS!!!
Benjamin rolls two 6-sided number cubes. What is the probability that he rolls a sum equal to 5? Use the diagram of the sample space to help you.
a. 1/11
b. 5/36
c. 4/36 or 1/9
d. 2/36 or 1/18
Answers
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Complete the table and answer the questions.
Time (hours) Snow (Inches)
2/2
1
1
2
2 4
6.5
x
Answers
Answer:
all of the abpve
Step-by-step explanation:
Can someone answer this very fast, please!
Answers
Answer:35
Step-by-step explanation:
B+28=63, so B=63-28=35
Select all the numbers that are rational.
0.45623…
50−−√
0.325
13
–142
Answers
Answer:
13, 0.325, and -142
Step-by-step explanation:
13 because the number terminates, 0.325 because the decimal terminates, and -142 because it is a negative integer, the rule with rational numbers is that they must follow a pattern if continuing or terminate or be a positive or negative integer. For example, pi is an irrational number so is 0.45623... and 50--√.
This pattern can be represented by a quadratic expression.
True or False?
Answers
Answer:
False
Step-by-step explanation:
The points all correspond with each equation inputted into the graph
1. Select all the equations that have 2 solutions.
A. (x + 3)2 = 9
B. (x – 5)2 = -5
C.)(x + 2)2 – 6= 0
D. (x – 9)2 + 25 = 0
E. (x + 10)2 = 1
F. (x - 3)2 = 0
G.5 = (x + 1)(x + 1)
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.....................
Answer the question below:
Answers
Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?To calculate the circumference of a circle we must apply the following formula:
2\(\pi\)RR = Radius of the circle.According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
2\(\pi\)1 = 6.282\(\pi\)2 = 12.59So, to find the difference of the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31According to the above, the difference of the circumferences would be 6.31 cm.
How to calculate the area of the circle?To calculate the area of the circle we must apply the following formula.
A =\(\pi r^{2}\)
r = radio del círculo.
According to the above, the radiO of both circles would be:
\(\pi 1^{2}\) = 3.14\(\pi 2^{2}\) = 25.13Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99Learn more about circles in: https://brainly.com/question/29142813
#SPJ1
Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?
To calculate the circumference of a circle we must apply the following formula:
2R
R = Radius of the circle.
According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
21 = 6.28
22 = 12.59
So, to find the difference between the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31
According to the above, the difference in the circumferences would be 6.31 cm.
How to calculate the area of the circle?
To calculate the area of the circle we must apply the following formula.
A =
r = radio del círculo.
According to the above, the radiO of both circles would be:
= 3.14
= 25.13
Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99
Write the following set in set-builder notation "B = {-3, -2, -1, 0, 1, ...}"*
Answers
Answer:
This set as Builder Form is given below:
B= {x|x E Z}
help me this one plssssssssssss
Answers
Answer:
The integer that describes the translation from B to B' is (-2,1)
64 plus what equals 100
Answers
Need to add 36 to 64 to get sum as 100.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Let the unknown number be x.
Now, 64+x=100
x=100-64
x=36
Therefore, need to add 36 to 64 to get 100.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
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Can somebody please help I don't understand how to do this
Answers
Answer:
hbsbipynoibnrioudjtoudjtuodjoudk
Step-by-step explanation:
linylnutdbitdiltcicyrkdvutodubtuodjtohtsuodhuthuodtjutodhodutohutdhusotohdtidgidgtidgtigdtuhothuodtohudtuodthhoudthoudtuohtd
find the nth term
16,25,36,49
Answers
So studying the sequence you could see that 4multiplying itself gives 16 and 5 by itself 25 , 6 by itself 36 , 7by itself 49 so by all means the next will be 8 by itself which is 64
Answer:
Hello,
Step-by-step explanation:
16=(1+3)²
25=(2+3)²
36=(3+3)²
49=(4+3)²
\(u_n=(n+3)^2\\\)
what does this equal and how do you solve it 10(x+4)
Answers
Answer:
10x+40
Step-by-step explanation:
Answer:
10 (x + 4) = 10x +40, I'm pretty sure that's the answer. Try that out :)
Step-by-step explanation:
I did distributed this equation, I did 10 times X, which x mean 1 and you would do 10 times 1, which is 10, but adding the variable in there so the variable would be X. And then I did the same thing except you do 10 times 4 and notice that there was a plus sign and not a minus sign. If there would be a minus sign it would be a negative answer, but with a plus sign it would be a positive answer, which is 40! :)
Hope that helps and hope that kinds make sense! :)
ANSWER: 10x + 40
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.