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
ElenaW [278]
3 years ago
5

If DF = 9x -39 find EF

Mathematics
2 answers:
Klio2033 [76]3 years ago
7 0

|DF| = |DE| + |EF|

|DF| = 9x -36

|DE| = 47

|EF| = 3x+10

Substitute:

9x - 39 = 47 + 3x + 10

9x - 39 = 3x + 57     |+39

9x = 3x + 96    |-3x

6x = 96    |:6

x = 16

Put the value of x to the equation |EF| = 3x + 10

|EF| = (3)(16) + 10 = 48 + 10 = 58

Answer: |EF| = 58

tekilochka [14]3 years ago
5 0

Answer:  The required length of EF is 58 units.

Step-by-step explanation:  Given that DF = 9x - 39, DE = 47 units and EF = 3x + 10.

We are to find the length of EF.

We have

DE+EF=DF\\\\\Rightarrow 47+(3x+10)=9x-39\\\\\Rightarrow 3x+57=9x-39\\\\\Rightarrow 9x-3x=57+39\\\\\Rightarrow 6x=96\\\\\Rightarrow x=\dfrac{96}{6}\\\\\Rightarrow x=16.

Therefore, the length of EF is given by

EF=3\imes16+10=48+10=58.

Thus, the required length of EF is 58 units.

You might be interested in
What is the smallest angle of rotational symmetry for a square
mars1129 [50]

When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.

We know that the order of rotation for a square is 4.

Hence, we have \frac{360}{4} =90^{\circ}

Thus, the angle of rotational symmetry of square are

90^{\circ}, 180^{\circ}, 270^{\circ}

Hence, the minimum angle  of rotational symmetry is  90^{\circ}

Therefore, the minimum angle of rotational symmetry for a square is 90 degrees.

7 0
3 years ago
Read 2 more answers
A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write
STALIN [3.7K]
If a pack of paper costs 3.75 including tax, and there is a $20 budget, then the equation to find out the answer would be 3.75p is greater or equal to $20. So the answer would be B. 3.75 would be multiplied by the tax and then applied up to $20. 
7 0
3 years ago
P=a+b+c solve for b<br> c=90x+35
Pavel [41]

Answer:

x=bc-35 over 90

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for<br> a. 7a-2b = 5a+b
Stels [109]
<span>So we have a problem with two unknows and one equation. We have to express one over the other like this: 7a - 2b = 5a + b. First we separate one kind on the left side and the other kind on the right side: 7a - 5a = b + 2b. Then: 2a = 3b. Now we divide both sides by 2 and get: a= 3b/2.</span>
6 0
3 years ago
Read 2 more answers
Write the equation of line in slope-intercept form.
Galina-37 [17]

y=3x-7 that's the answer

7 0
3 years ago
Other questions:
  • The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o
    9·1 answer
  • Please solve for n the following equation..............-2 = -n + 8
    8·1 answer
  • What is the value of 2/7+-3/4+-2/7+4/3
    12·1 answer
  • 3 to the power of -4
    14·1 answer
  • Which algebraic expression is a product with a factor of 6?
    6·1 answer
  • A bakery tray holds 10 muffins how many muffins will fit on 18 trays
    5·1 answer
  • A thirsty crow wants to raise the level of water in a cylindrical container so that it can reach the water with its beak.
    5·2 answers
  • What is the value of x
    11·2 answers
  • Can someone help please? I need help
    6·2 answers
  • What value of x is the solution of the equation above?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!