Answers
Answer:
48°
Step-by-step explanation:
1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.
2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].
Hence,
[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]
3) Find the angle of F by substituting 11 into x.
[tex]=5(11)-7\\=55-7\\=48[/tex]
Therefore, angle F has a measure of 48°.
Related Questions
There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?
Answers
The club decreased to 7 ski members
Answer:
210
Step-by-step explanation:
25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.
Combining Like Terms -
Answers
Answer:
Step-by-step explanation:
How do I simplify -4(3x + 2y) + 6( -2x - 5y)???
Answers
Answer:
-24x - 38y
Step-by-step explanation:
[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]
Answer:
Step-by-step explanation:
4(3x+2y)+6(−2x−5y)
Use the distributive property to multiply −4 by 3x+2y.
−12x−8y+6(−2x−5y)
Use the distributive property to multiply 6 by −2x−5y.
−12x−8y−12x−30y
Combine −12x and −12x to get −24x
−24x−8y−30y
Combine −8y and −30y to get −38y.
and you get −24x−38y
hope it helps
How to divide long division with decimals.
Answers
Answer:
If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.
Step-by-step explanation:
How to improve your class multiplication skills.
Answers
Answer:
PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!
Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.
Answers
The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.
a. To determine the distance of sailboat A from the stating point.
Applying the cosine rule to the path traveled by sailboat A, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)
= 25 + 64 -80 * -0.8746
[tex]c^{2}[/tex] = 89 + 70
[tex]c^{2}[/tex] = 159
c = [tex]\sqrt{159}[/tex]
= 12.6095
Thus, the distance of sailboat A from starting point is 12.61 miles.
b. To determine the distance of sailboat B from the stating point.
Applying the cosine rule to the path traveled by sailboat B, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)
= 64 + 25 -80 * -0.6293
[tex]c^{2}[/tex] = 89 + 50.344
= 139.344
c = [tex]\sqrt{139.344}[/tex]
= 11.8044
c = 11.80 miles
Thus, the distance of sailboat B from starting point is 11.80 miles.
Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.
A sketch is attached to this answer for better reasoning.
Visit: https://brainly.com/question/22699651
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answers
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
please help will mark as brainlist
Answers
Answer:
176
Step-by-step explanation:
Answer:
[tex]m[/tex]∠STV = 43°
Step-by-step explanation:
It has the corresponding relation with ∠UTV
the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base
Answers
Answer:
the height = 5cm
the base = 2cm
Step-by-step explanation:
the equation of a function is y=25- 3x find the value of x when y=34
Answers
34=25-3x
3x=25-24
3x=1
X=1/3
-3
What is the value of n.
n
30°
E
973
???
Answers
Answer:
13.5
Step-by-step explanation:
use soh cah toa
cos 30 × 9√3= n
A triangle has two side of lengths 10 and 14. What value could the length of the third side be?
Answers
Use the Pythagorean Theorem [tex]a^2 + b^2 = c^2[/tex].
Since we have 2 sides we can easily solve for the third.
[tex]c^2 = 10^2 + 14 ^2[/tex]
[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]
triangle interior angles theorem
answer and explain briefly
Answers
Answer:
x=62
Step-by-step explanation:
(x+1)+ x+55=180
-55 -55 (take away the 55)
(x+1)+ x= 125 (take out of parenthesis)
x+1+ x= 125
2x+ 1= 125 (add the two x's together)
-1 -1 (take away the one)
2x= 124 (divide by 2)
2
x=62
A used car is advertised for sale at "$300 down and $65 a month for 12 months. What is the total price of the car?
Answers
Answer:
It will be 780
Step-by-step explanation:
explanation is that I multiply 65$ by 12
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answers
Answer:
50% is 0.5
10% is 0.1
75% is 0.75
Step-by-step explanation:
When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.
Determine the slope of the line represented by the equation 9x + 4y = 8. Represent the slope in decimal form.
Answers
Answer:
slope = - 2.25
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 4y = 8 ( subtract 9x from both sides )
4y = - 9x + 8 ( divide through by 4 )
y = - 2.25x+ 2 ← in slope- intercept form
with slope m = - 2.25
when 1760 is divided into 14 equal parts, the remainder is 10. what is the correct way to write the quotient?
Answers
Answer:
125 R10
Step-by-step explanation:
You have to do (1760-10)/14=125
How do I factor this expression
2xy-x^2y-6+3x
Answers
Steps:
I did the math on paper but my phone camera is broken so I can’t add it here. If you need the steps I can provide a picture of an online calculator because it’s too complicated to type it out here. Just comment if you need the steps!
I hope this helps!
PLZ HELP 400 POINTS AND BRAINLIEST
Answers
Answer:
A=9
b=2.75
POINTS A AND B ARE 9 UNITS APART
Step-by-step explanation:
enjoy hope i get what i was promised :D
Answer:
a and b are 9 units apart
Step-by-step explanation:
If 2/3 of a number is 10, then what is 0.15 times of that number?
a) 225 b) 825 c) 22.5 d) 2.25
step by step explanation needed
Answers
Answer:
d) 2.25Step-by-step explanation:
Let the number is x.
2/3 of a number is 10:
2/3x = 10x = 3*10/2 = 150.15 times of the number is:
15*0.15 = 2.25Correct choice is d
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
Answer:
15lb
Step-by-step explanation:
1lb=453.59
Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown number? 3x = 3 2x x = 3 2x 3x 3 = 2x 3x = 3 2 x.
Answers
"Three times a number" implies multiplication of x by 3.
"is" indicates an = sign.
"three more" implies addition of 3.
"twice the number" can be translated to multiply x by 2.
Adding all of these together we get 3x=3 + 2x.
Answer:
A
Step-by-step explanation:
The expression 12 + 4x - 2x + 8 simplifies to what?
Answers
Answer:
2x + 20
Step-by-step explanation:
[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]
Hope this helps.
dont know the answer pls help :(
Answers
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work correct?
Answers
Answer:
Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.
[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]
Help.....Me...........PLEASE
Answers
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
What is the measurement of this angle?
Answers
Answer:
I believe it is 82.
Step-by-step explanation:
This is because a triangle's angles add up to 180. 180-65-33=82
Sorry if this is wrong
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
Answers
Answer:
$1.75Step-by-step explanation:
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
2m = 200 cm
200 : 10 = 35 : x
x = 10 * 35 : 200
x = 1.75
There are 12 boxes of books to put on shelves. Each box has 31 books.Each shelve holds 18 books. Kevin estimates he will need 20 shelves for all the books
Answers
Answer: False. 21 Shelves.
Step-by-step explanation:
First, 12 x 31= 372
This indicates that there are 372 books.
Then, 372 ÷ 18= 20.6666666667
Since we have a decimal that is above 4 we round up.
This leaves 21 shelves needed for all the books o fit on a shelf.
Shamaya gave away 6 bags of chips. She now has 17 bags of chips left in her bag. How many bags of chips did she have originally?
Answers
Answer:
23
Step-by-step explanation:
She originally had 23 because if she gave away 6 bags of chips, she would have 17 left
-
17+6=23
double check answer:
23-6=17
Answer:
the answer is 23
Step-by-step explanation:
17+6=23
so she 23 bags of chips