1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirill115 [55]
3 years ago
10

Need help please can you give answer with working out i can not answer as it is quite gard

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Step-by-step explanation:

\text{Given:}\\\\AB=3x-4\\AC=2x+12\\BC=7x-2\\AB:AC=1:2\Rightarrow(3x-4):(2x+12)=1:2\\\\\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\qquad\text{cross multiply}\\\\(3x-4)(2)=(2x+12)(1)\qquad\text{use the distributive property}\\\\(3x)(2)+(-4)(2)=2x+12\\\\6x-8=2x+12\qquad\text{add 8 to both sides}\\\\6x-8+8=2x+12+8\\\\6x=2x+20\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\6x-2x=2x-2x+20\\\\4x=20\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}=\dfrac{20}{4}\\\\x=5

\text{Put the value of}\ x\ \text{to}\ AC\ \text{and}\ BC:\\\\AC=2(5)+12=10+12=22\\\\BC=7(5)-2=35-2=33\\\\AC:BC=22:33=\dfrac{22}{33}=\dfrac{22:11}{33:11}=\dfrac{2}{3}=2:3

You might be interested in
Points B, D, E and F lie on a circle.
goldfiish [28.3K]
Please upload the figure too
3 0
2 years ago
Read 2 more answers
Whats 14 4/10 - 13 1/3 ASAP
monitta

Answer:

1 1/15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Monica paid sales tax of $2.80 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge fo
larisa [96]

7 % of cost price is 2.80 , What about 1%?

7 = 2.80

1 = x   (where x is the price value of 1% in dollars)

We simplify the above equation, so:

7 × x = 2.8 × 1  →  7x = 2.8 →  x = 2.8 / 7  →   x = 0.4 dollars

We know that 100%  represents the whole price,

so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars

Therefore the store charged $40  dollars for the helmet before tax




5 0
3 years ago
The sum of two numbers is 56, and their difference is 10. What are the numbers?
Elanso [62]

Answer:

23 and 33

Step-by-step explanation:

23+33=56

33-23=10

6 0
3 years ago
Read 2 more answers
A recipe calls for blueberry muffins cost for 2 3/4 cup of blueberries. You are making 1/3 of the recipe. How much blueberries s
tester [92]

Answer: 8/9 cups

Step-by-step explanation:

The word 'of' means 'times' as far as fractions are concerned. In this case, we have 1/3 of 2 1/3.

First, it is a good idea to make 2 1/3 an improper fraction - as 8/3, so now we have:

1/3 of 8/3, but since 'of' means 'times' we have,

1/3 x 8/3 = 8/9

The answer is 8/9 cups.

7 0
3 years ago
Other questions:
  • In Mr.Martinez's sixth period class, there are 8 boys and 12 girls. what is the probability of randomly selecting a girl?
    7·2 answers
  • M(3-4m)=7+4(8-m2) m=?
    14·1 answer
  • Mr Avery Needs to repaint the outside of his house. He estimates that the area he needs to paint is about 1600 Each gallon of pa
    11·1 answer
  • Which way is x > 12 going on the number line?
    15·1 answer
  • 625 ÷ 62.5 × 30 ÷ 10
    10·1 answer
  • Find the area of the trapezoid
    15·1 answer
  • Find the value of 2x+8y when X= -5 and y=6​
    13·1 answer
  • Three pears and four apples cost 1.60. four pears and five apples cost 2.05. find the cost of each pear and each Apple.
    12·1 answer
  • PLease help me <br> (put your answer in my comments please
    10·1 answer
  • Peter sold 60 pencils at 5 for $1.20. How much money do he make
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!