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
shepuryov [24]
3 years ago
14

4. If DF = 9x - 39, find EF. Help I’m so confused!!!!

Mathematics
2 answers:
topjm [15]3 years ago
6 0

Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

<em>give</em><em>n</em><em> </em><em>that</em><em> </em><em>DF</em><em> </em><em>=</em><em>9</em><em>x</em><em>-</em><em>3</em><em>9</em><em> </em><em>,</em><em> </em><em>DE</em><em> </em><em>=</em><em>4</em><em>7</em><em> </em><em>EF</em><em>=</em><em>3</em><em>x</em><em> </em><em>+</em><em>1</em><em>0</em>

<em>sub</em><em>stitute</em><em> </em><em>them</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>formu</em><em>la</em><em>,</em>

<em> </em><em> </em>

<em>3</em><em>x</em><em> </em><em>+</em><em>1</em><em>0</em><em>=</em><em>9</em><em>x</em><em>-</em><em>3</em><em>9</em><em> </em><em>-</em><em> </em><em>4</em><em>7</em>

<em>sol</em><em>ving</em><em> </em><em>for</em><em> </em><em>x</em>

<em>3</em><em>x</em><em> </em><em>+</em><em>1</em><em>0</em><em> </em><em>=</em><em>9</em><em>x</em><em> </em><em>-</em><em>8</em><em>6</em>

<em>grou</em><em>ping</em><em> like</em><em> </em><em>ter</em><em>ms</em>

<em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>9x</em><em> </em><em>=</em><em>-</em><em>8</em><em>6</em><em> </em><em>-</em><em>1</em><em>0</em>

<em>-6x</em><em>=</em><em>-</em><em>9</em><em>6</em>

<em>div</em><em>iding</em><em> </em><em>throu</em><em>gh</em><em> </em><em>by</em><em> </em><em>-</em><em>6</em>

<em>\frac{ - 6x}{ - 6}  =  \frac{ - 96}{ - 6}</em>

<em>x  =  \frac{96}{6}</em>

<em>x = 16</em>

<em>but</em><em> </em><em>EF</em><em>=</em><em>3</em><em>x</em><em>+</em><em>1</em><em>0</em>

substitute x=16 into it to get the EF

EF= 3(16)+10

EF=48+10

EF=58

svetlana [45]3 years ago
6 0

\huge\boxed{58}

First of all, we know that DE+EF=DF, because these are two segments that make up one larger segment.

Write this as an equation.

DE+EF=DF

47+(3x+10)=9x-39

Remove the parentheses. 47+3x+10=9x-39

Combine the like terms. 3x+57=9x-39

Subtract 9x from both sides. -6x+57=-39

Subtract 57 from both sides. -6x=-96

Divide both sides by -6. x=16

Now, find EF.

3x+10

3(16)+10

Multiply. 48+10

Add. \boxed{58}

You might be interested in
Consider the following equations x=4/t and y = 4-t^2 a. Solve the equation for y (eliminate the parameter.)​
Nookie1986 [14]

Answer:

y=-16^a/x^2 + 4

Step-by-step explanation:

3 0
3 years ago
H(n)=3n-4 find h(-6)
mrs_skeptik [129]

Answer:

h(-6) = -22

Step-by-step explanation:

h(n) = 3n - 4

h(-6)= 3(-6) - 4

= -18 - 4

= -22

4 0
3 years ago
Use Euler’s Formula to find the missing number. Faces: 8 Edges: _____ Vertices: 6
taurus [48]

Answer:

The number of edges is E=12

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

so

V- E + F = 2

In this problem we have

F=8, V=6

substitute and solve for E

6- E + 8 = 2

E=6 + 8 -2=12

7 0
3 years ago
Can someone help me please !
vladimir2022 [97]

Answer:

exponential

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Need help please and thank you​
vekshin1

We can drop the absolute value and the signs, and the integer part if they're all the same, and then make a common denominator and check for a decreasing sequence.

10/12, 7/12, 5/12 -- Check decreasing

3 1/3, 3 2/3, 2 2/3 -- nope, increases then decreases

6 5/7, 6 3/7, 5 2/7 - Check, decreasing

11 7/10,  11 6/10,  10 3/10 -- Check, decreasing

Answer: A,C,D

8 0
3 years ago
Other questions:
  • Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i
    15·1 answer
  • What is the slope of the line that passes through the points (-2,6) and (4,-2)?
    6·2 answers
  • A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet
    14·1 answer
  • SHOW YOU WORK TO BE MARKED BRAINLIEST!!!
    10·1 answer
  • What is equal to 20/40?
    15·2 answers
  • Please help, brainliest for correct answer
    14·2 answers
  • The average of 3 numbers is 15 two of the numbers are 7 and 10 what is the third number?
    15·1 answer
  • 6(2a + b) + b A. 12a + 12b B. 12a + 7b C. 8a + 8b D. 8a – 8b
    10·2 answers
  • Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the
    13·1 answer
  • NO LINKS..... There are 39 people on a city bus. The ratio of adults to children is 10:3. At the next stop, 3 adults get off the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!