Please Show Work.
Angles A and B create a 120° angle. ∠A=3x+5 and ∠B=2x+15. Find the measures of both angles.
Answers:
x = 20
angle A = 65 degrees
angle B = 55 degrees
==============================================
Work Shown:
A+B = 120
(3x+5) + (2x+15) = 120
5x+20 = 120
5x = 120-20
5x = 100
x = 100/5
x = 20
Use this to find both angles
angle A = 3x+5 = 3(20)+5 = 65 degrees
angle B = 2x+15 = 2(20)+15 = 55 degrees
Then note how A+B = 65+55 = 120 to help confirm our answers.
Answer:
[tex]\huge\boxed{\angle A = 65, \angle B = 55}[/tex]
Step-by-step explanation:
We can treat each of these angle equations as if they are the real angle measures.
We know these angles add up to 120°, so we can create an addition statement:
[tex](3x+5) + (2x+15) = 120[/tex]
We can then solve for x.
Combine like terms: [tex]5x + 20 = 120[/tex] Subtract 20 from both sides: [tex]5x = 100[/tex]Divide both sides by 5: [tex]x = 20[/tex]Now that we know x = 20, we can substitute it into both equations for each angles and find it.
∠A = [tex]3x+5\\ 3 \cdot 20 + 5\\60+5\\65[/tex]
∠B = [tex]2x+15\\2\cdot 20 + 15\\ 40+15\\55[/tex]
We can test that this is right because 65+55 = 120.
Hope this helped!
PLEASE HELP!!!!!!
What is 2 1/2 divided by 1/3?
A. 3 1/2
B. 7 1/2
C. 7 1/6
D. 2/15
The solution is, B. 7 1/2.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
First you have to change 2 1/2 into 5/2
To multiply fractions use the method
Keep Change Flip
5/2 x 3/1
=15/2
Which simplifies to 7 1/2
Hence, The solution is, B. 7 1/2.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
Which of the following situations will include the origin when graphed?
A. Hayley runs at a pace of 1 mile every 8 minutes.
B. Gas costs $3.50 per gallon.
C. It is 68° at 7 a.m., and the temperature increases by 5° every hour.
D. Phone service costs $5.00, and an additional 5 cents for each minute.
You can choose more than one answer.....
Answer: A. Hayley runs at a pace of 1 mile every 8 minutes.
B. Gas costs $3.50 per gallon.
Step-by-step explanation:
3/4 + 5/6? What is the equation.
Dan deposited $700 in a savings account. At the end of 3 year, he had earned $115.50 in simple interest. What interest rate did he receive?
Question 6 (ID=27678)
As labor costs, an electrician charges $36.50 per hour for himself, and $27.50 for his assistant. What would be the total labor cost for a job taking 6 1 over 2 hours?
A: $416.00 Strike Reset
B: $384.00 Strike Reset
C: $264.75 Strike Reset
D: $64.00 Strike Reset
PLEASEE
Answer:
36.50 + 27.50= 64 64 X 2= 128
Step-by-step explanation:
but i don't understand what you mean by taking 6 1
List four guidelines for selecting ski boots that fit properly.
This question is confusing me look at the screenshot pls help
Answer:
The answer is 7.1
Step-by-step explanation:
Need helpp fastt plss will give brainliest to who is correct plss helpp!!!!!!!!! It a test I need good grades PLSSSS HELPPPPP!!!!!!!!!!
Answer: I think 48
Step-by-step explanation:
If the ratio is 8 North American butterflies :4 South American butterflies then the South American butterflies would be half of North American. There are 96 North American butterflies and half of that is 48
what s 7+10. i need an answer now
Answer:
17
Step-by-step explanation:
Determine if the lines are parallel, perpendicular or neither.
17) -2x + y = -4 and -19 - y = 1/2x
A test prep center
charges $25 per hour
to tutor students taking
the SAT. One student
uses a coupon for
$100 off his sessions.
Is it proportional if so what is the value??
Answer:
yes it is proportional you get 4 hours in value to the coupon does this make scene?? sorry if it doesn't
Step-by-step explanation:
A cookie recipe called for 3 1/3 cups of sugar for every 2/3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need?
Answer:
The answer is 9.7 cups of sugar
Step-by-step explanation:
Sophia and Hector are captains of their track and field team. As captains, they help their teammates train for the different events.
Sophia records the heights of the teammates competing in the high jump event and the heights of their best jumps.
Height of teammate 5'4" 5'5" 5'5" 5'8" 5'10"
Highest Jump 4'4" 4'8" 5' 5' 4'10"
Is the height of a teammate’s jump a function of his or her height? Explain.
Simplify/solve the expression. 5+ (-5) +2 +10 +(-2)?
Answer:
10
Step-by-step explanation:
5+(-5)=0
2+(-2)=0
0+10=10
im posting it right know for 60 points good luck
Answer:
Got it thx.
Step-by-step explanation:
Solve for m. - 9/2 m = 27/2
Answer:
-3
Step-by-step explanation:
hope this helps
At the gas station, each liter of gas costs $3, but there's a promotion that for every beverage you purchase you save $0.20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
yes
Step-by-step explanation:
Answer:In this case, the answer is yes, there is a proportional relationship between total savings on gas and the number of beverages purchased. You save $0.20 on gas for every beverage you buy.
Step-by-step explanation:
A football team loses 6 yards on each of 2 consecutive plays. Find the total change in yards from where the team started.
The total change is [ ] yards.
∠A and ∠B are vertical angles. ∠B is supplementary to ∠C. If ∠C measures 42°, how large is ∠A?
Answer:
138 degrees
Step-by-step explanation:
Since angles B and C are supplementary, that would mean they add up to 180. The problem tells us that angle C is 42 degrees, so that would mean that angle B is 138 degrees. We are also told that angles A and B are vertical, which would mean that they are congruent to each other. That leaves us with the answer that angle A is 138 degrees.
Hope this helps! :)
How do you find the volume of a sphere on a calculator?
Answer:
The formula is V=4/3πr^3
In a calculator, you would do 4/3(3.14)r^3
Step-by-step explanation:
Answer:
Use the formula V=4/3πr3
r is the raduis of the sphere.
π=3.141592 and so on.
Nathan put $400 in a savings account for two years. The interest rate is 3% and will be compounded annually. How much money will he have at the end of the two years?
What is the slope of this graph?
−3
−13
13
3
PLS HELP... ASPA
Parallel Lines m and n are cut by Transversal t as shown.
PLEASE HELP ME! I RLLY NEED HELP!
Claire earns $8.50 per hour babysitting plus a $15 travel fee. Brooklyn earns $9.50 per hour walking dogs plus a $5 supply fee. How many hours do they have to work to earn the same amount of money?
Answer:
I believe Claire makes $24.50 and Brooklyn makes $14.50, so if you wanted to make Brooklyn walk an extra hour, she would have 24.00 adding the supply fee which is $5 which would make it $29.00.
Now i am going to try to actually solve it
8.50x15=127.5
9.50x5=47.5
9.50x13=123.5
this is so wrong i am so sorry, i just hope this helps you understand your question a bit more!
Step-by-step explanation:
Create a system of equations that contains the points (-5, 0) and (-3, 4)
Anyone’s help please?
Dina lives 9/10 mile from school. If she has ridden her bike 4/10 mile, how much farther does she have to ride?
Sorry for not having it on the first one-
Answer:
Drew is incorrect. She forgot to take the reciprocal of -1/6. Drew just did (3/4)(-1/6) which got her -3/24 instead -9/2.
Step-by-step explanation:
Same, change, reciprocal:
(3/4)(-6/1)=-18/4=-9/2.