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
ELEN [110]
3 years ago
13

DF=78, DE=5x-9, and EF-2x+10, find EF

Mathematics
1 answer:
lbvjy [14]3 years ago
8 0

Answer:

As e is point between df. So we can write df as

df = de + ef

As given df = 78 , de = 5x - 9 , ef = 2x + 10.

So we can write

78 = 5x - 9 + 2x + 10

78 = 7x + 1

On subtracting 1 on booth side

78 - 1 = 7x +1 - 1

77 = 7x

On dividing both side by 7.

11 = x

So x = 11.

So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32

Step-by-step explanation:

You might be interested in
Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?
dangina [55]

It would be opposite from side KM since the side correlated to the angle across it

7 0
3 years ago
Read 2 more answers
If alvin sold 60% of his baseball cards, gave away 30% of those that were left, and still had 40 baseball cards in his possessio
kipiarov [429]

Answer:

The number of baseball card to begin with is 143

Step-by-step explanation:

Let The number of baseball cards = x

The number of sold baseball card = 60% of x

                                                         = 0.6 x

The number of left baseball card = x - 0.6 x = 0.4 x

The number of card gave away = 30 % of left cards

                                                     = 0.3 × 0.4 x = 0.12 x

The number of card left in his possession = 40

So, 0.6 x + 0.12 x + 40 = x

Or,  40 = x - 0.6 x - 0.12 x

Or,  40 = 0.28 x

∴   x = \frac{40}{0.28}  =  142.85 ≈ 143

Hence The number of baseball card to begin with is 143  Answer

3 0
3 years ago
Round 10.95 to the nearest tenth
Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

<em>Ed: Explanation below.</em>

<em />

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0
2 years ago
If -2x+3=7 and 3x+1= 5+y
sertanlavr [38]

Answer: x = -2, y = -10

Step-by-step explanation:

solve for x first in the equation -2x+3=7

-2x+3=7

-2x = 4

x = -2

now plug that x value into the other equation so we can find y

3x+1 = 5+y

3(-2)+1 = 5+y

-6+1 = 5+y

-5=5+y

-10 = y

7 0
3 years ago
Read 2 more answers
Use the expression to answer the following questions. 5m – 8n + 2p – 12
Kobotan [32]

Answer:

12 is the constant

8 is the coefficient of the 2nd term

There are 4 terms

The terms are: 5m, 8n, 2p, and 12



7 0
2 years ago
Read 2 more answers
Other questions:
  • The diameter of a women's basketball is 23.45 centimeters.
    7·2 answers
  • How do you find percent change??
    9·2 answers
  • What 4.1555 rounded to the nearest tenth
    5·2 answers
  • Can someone help me
    5·1 answer
  • The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments such that their lengths are in rat
    11·1 answer
  • Please can you give the answer of this, 8x+5y=23 -8x+9y=-19
    10·1 answer
  • 1 Write the slope-intercept form of the equation of the line. -​
    14·1 answer
  • Help please! Thanks!!
    15·1 answer
  • An apple farm has fifteen barrels of apples ready to send to their market. each barrel contains 76 apples. they send 589 apples
    5·1 answer
  • An inscribed angle in the diagram is<br> EDG<br> ABF<br> HFA<br> CDE
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!