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
storchak [24]
2 years ago
11

Proportions in similar triangles. need help

Mathematics
1 answer:
erik [133]2 years ago
6 0

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

<em>Additional comment</em>

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6

You might be interested in
I need help please and thank u,
Alchen [17]

The illegal values of b are when the denominator equals 0.

So, b^2-2b-8=0 gives you (b-4)(b+2)=0

Therefore, b=4 and b=-2, which is answer A.


8 0
3 years ago
The length of a rectangle is 5 more than twice the width. Which equation could represent the area of the rectangle in terms of t
liq [111]

Answer:

l=5+2w

Step-by-step explanation:

Since the length is twice the width plus 5, the equation would look like :

l=5+2w

5 0
2 years ago
Read 2 more answers
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensio
svetoff [14.1K]

The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
10% of Glen's coins are from Denmark. If he has 11 coins from Denmark, how many
denis23 [38]

Answer:

9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Joe designs a weighted number generator that produces the integers 0 to 4. He then run the generator 500 times. The results are
Sloan [31]

Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Felipe Vasquez bought some 14₵ stamps and the same number of 22₵ stamps. He paid a total of $1.80 for all the stamps. How many o
    14·1 answer
  • Which products result in a difference of squares? Check all that apply.
    5·1 answer
  • Is -7-5+3=1 true or false
    5·1 answer
  • If m <br> Answer choices are -<br><br> Which property is shown<br><br> Reflexive<br> Substitution <br> Symmetric<br> Transitive
    10·1 answer
  • What is 5.97 rounded to the nearest tenth? Anything can help I’m late on homework
    15·2 answers
  • 1)) Click on the obtuse angle.<br> L
    5·2 answers
  • Which of the following is a perfect cube?<br> 1<br> 18<br> 4<br> 81
    7·1 answer
  • What is 2x(34) - (3-5)
    9·1 answer
  • 2 Find the sum: 8 7 + - = ?​
    6·2 answers
  • I am so confused on this because I am so sure that it’s -2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!